https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Masterproblemsolver123&feedformat=atomAoPS Wiki - User contributions [en]2024-03-28T22:12:09ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=1971_Canadian_MO_Problems/Problem_1&diff=985461971 Canadian MO Problems/Problem 12018-11-08T03:49:37Z<p>Masterproblemsolver123: /* Solution */</p>
<hr />
<div>== Problem ==<br />
<math>DEB</math> is a chord of a circle such that <math>DE=3</math> and <math>EB=5 .</math> Let <math>O</math> be the center of the circle. Join <math>OE</math> and extend <math>OE</math> to cut the circle at <math>C.</math> Given <math>EC=1,</math> find the radius of the circle<br />
<br />
[[Image:CanadianMO_1971-1.jpg]]<br />
<br />
== Solution ==<br />
First, extend <math>CO</math> to meet the circle at <math>P.</math> Let the radius be <math>r.</math> Applying [[power of a point]],<br />
<math>(EP)(CE)=(BE)(ED)</math> and <math>2r-1=15.</math> Hence, <math>r=8.</math><br />
<br />
== See Also ==<br />
{{Old CanadaMO box|before=First Question|num-a=2|year=1971}}<br />
<br />
[[Category:Intermediate Geometry Problems]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=1971_Canadian_MO_Problems/Problem_1&diff=985451971 Canadian MO Problems/Problem 12018-11-08T03:46:22Z<p>Masterproblemsolver123: /* Solution */</p>
<hr />
<div>== Problem ==<br />
<math>DEB</math> is a chord of a circle such that <math>DE=3</math> and <math>EB=5 .</math> Let <math>O</math> be the center of the circle. Join <math>OE</math> and extend <math>OE</math> to cut the circle at <math>C.</math> Given <math>EC=1,</math> find the radius of the circle<br />
<br />
[[Image:CanadianMO_1971-1.jpg]]<br />
<br />
== Solution ==<br />
First, extend <math>CO</math> to meet the circle at <math>P.</math> Let the radius be <math>r.</math> Applying [[power of a point]],<br />
<math>(EO)(CE)=(BE)(ED)</math> and <math>2r-1=15.</math> Hence, <math>r=8.</math><br />
<br />
== See Also ==<br />
{{Old CanadaMO box|before=First Question|num-a=2|year=1971}}<br />
<br />
[[Category:Intermediate Geometry Problems]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Resources_for_mathematics_competitions&diff=95250Resources for mathematics competitions2018-06-17T23:49:32Z<p>Masterproblemsolver123: /* Problem Books */</p>
<hr />
<div>The [[Art of Problem Solving]] hosts this [[AoPSWiki]] as well as many other online resources for students interested in [[mathematics competitions]]. Look around the AoPSWiki. Individual articles often have sample problems and solutions for many levels of problem solvers. Many also have links to books, websites, and other resources relevant to the topic.<br />
<br />
* [[Math books]]<br />
* [[Mathematics forums]]<br />
* [[Mathematics websites]]<br />
<br />
<br />
== Math Competition Classes ==<br />
* [[Art of Problem Solving]] hosts classes that are popular among many of the highest performing students in the United States. [http://www.artofproblemsolving.com/Classes/AoPS_C_PSeries.php AoPS Problem Series].<br />
* [[EPGY]] hosts classes for [[AMC]] students.<br />
<br />
== Math Competition Problems ==<br />
=== Problem Books ===<br />
Many mathematics competitions sell books of past competitions and solutions. These books can be great supplementary material for avid students of mathematics.<br />
* [[ARML]] has four problem books covering most ARML as well as some [[NYSML]] competitions. However, they are generally difficult to find. Some can be ordered [http://www.arml.com/books.htm here].<br />
* [[MOEMS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[MATHCOUNTS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[AMC]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[Mandelbrot Competition]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
<br />
=== Problems Online ===<br />
[[Art of Problem Solving]] maintains a very large database of [http://www.artofproblemsolving.com/Forum/resources.php math contest problems]. Many math contest websites include archives of past problems. The [[List of mathematics competitions]] leads to links for many of these competition homepages. Here are a few examples:<br />
==== Introductory Problem Solvers ====<br />
* [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems].<br />
* Noetic Learning [http://www.noetic-learning.com/gifted/index.jsp Challenge Math] - Problem Solving for the Gifted Elementary Students .<br />
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page].<br />
* [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage].<br />
* The [[South African Mathematics Olympiad]] [http://www.samf.ac.za/QuestionPapers.aspx here] includes many years of past problems with solutions.<br />
* [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8<br />
<br />
==== Intermediate Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at [https://mks.mff.cuni.cz/kalva/ this page])<br />
* Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [http://www.uccs.edu/%7Easoifer/olympiad.html CMO homepage].<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels.<br />
*[https://www.clevermath.org/ Clevermath] Is similar to above<br />
<br />
==== Olympiad Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline - but a few mirrors are available, e.g [https://mks.mff.cuni.cz/kalva/ here].)<br />
* [http://www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions.<br />
* [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society].<br />
* [http://web.archive.org/web/20120825124642/http://pertselv.tripod.com/RusMath.html Problems of the All-Soviet-Union math competitions 1961-1986] - Many problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [http://web.archive.org/web/20091027032345/http://geocities.com/CapeCanaveral/Lab/4661/ Olympiad Math Madness] - Stacks of challenging problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
<br />
== Articles ==<br />
<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Contests.php Pros and Cons and Math Competitions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/articles/culture Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill.<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Mistakes.php Stop Making Stupid Mistakes] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Questions.php Stupid Questions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Teaching.php Learning Through Teaching]<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php How to Write a Solution] by [[Richard Rusczyk]] and [[user:MCrawford | Mathew Crawford]].<br />
<br />
== A Huge List of Links ==<br />
=== AoPS Course Recommendations ===<br />
*[http://www.artofproblemsolving.com/School/recommendations.php: Art of Problem Solving Course Recommendations]<br />
*Do you still have trouble deciding which course? [http://www.artofproblemsolving.com/Store/personalrec.php Ask for personal recommendations!]<br />
<br />
===AMC 8 Preparation===<br />
====Problems====<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42 AMC 8 Problems in the Resources Section]<br />
<br />
Problem and Solutions: [http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki]<br />
<br />
===AMC 10/12 Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=388108&hilit=preparation How preparing for the AIME will help AMC 10/12 Score] <br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396741&hilit=preparation What class to take?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=387918&hilit=preparation AMC 10 for AMC 12 practice]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385418&hilit=preparation AMC prep]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384828&hilit=preparation AMC 10/12 Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384747&hilit=preparation AIME/AMC 10 Overlap and Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=378851&hilit=preparation How to prepare for amc10 and aime?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=369849&hilit=preparation Preparation for AMC 10?]<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_10_Problems_and_Solutions AMC 10 Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki]<br />
<br />
===AIME Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397954&hilit=preparation Studying to qualify for USAMO]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=400442&hilit=preparation How to prepare for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399160&hilit=preparation Preparation for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=357602&hilit=preparation Using non-AIME questions to prepare for AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=355918&hilit=preparation Best books to prepare for AIME?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344816&hilit=preparation How to improve AIME score to make JMO?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=341827&hilit=preparation Preparation for AIME and USAMO]<br />
<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki]<br />
<br />
[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems by sorted by difficulty]<br />
<br />
===Beginning Olympiad Preparation===<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation How to Prepare for USAJMO?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep]<br />
<br />
====Bunch of General links====<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep Usamo prep ]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep Counting down to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep USAJMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep USAJMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep How to prepare for the USAMO/Making Red MOP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep Preparing in a hardcore way]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep USAMO and JMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep USAMO PREP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep Beginner to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454 What should I be doing?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep Improve to USAMO and IMO level]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep Prep for USA(J)MO]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654 contest math stuff/some advice on how to get good]'''<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845 Olympiad Prep]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622 Olympiad Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h619416p3697136 USAJMO Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h520900 The Right Training]'''<br />
* '''[https://usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests/ What Leads to Success]'''<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176 USAJMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAJMO_Problems_and_Solutions USAJMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
<br />
===Middle/Advanced Olympiad Preparation===<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38804 Practice Olympiad 2]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38805 Practice Olympiad 3]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] <br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki]<br />
<br />
===Book Links:===<br />
====Olympiad Level====<br />
=====Free=====<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvejlpenRmZGh6SDQ/view?usp=sharing Lemmas in Olympiad Geometry article]<br />
* [http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry]<br />
<br />
=====Not Free=====<br />
* [http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1 Plane Euclidean Geometry: Theory and Problems]<br />
* [http://www.amazon.com/Complex-Geometry-Mathematical-Association-Textbooks/dp/0883855100/ref=sr_1_1?s=books&ie=UTF8&qid=1338742131&sr=1-1 Complex Numbers and Geometry]<br />
* [http://www.amazon.com/Geometry-Complex-Numbers-Dover-Mathematics/dp/0486638308/ref=sr_1_1?s=books&ie=UTF8&qid=1338742156&sr=1-1 Geometry of Complex Numbers]<br />
* [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?s=books&ie=UTF8&qid=1338741912&sr=1-1 Complex Numbers from A to …Z]<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=sr_1_1?s=books&ie=UTF8&qid=1338742048&sr=1-1 103 Trigonometry Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/An-Introduction-Diophantine-Equations-Problem-Based/dp/0817645489/ref=sr_1_1?ie=UTF8&qid=1338741533&sr=8-1 An Introduction to Diophantine Equations: A Problem-Based Approach]<br />
* [http://www.amazon.com/Introductions-Number-Theory-Inequalities-Bradley/dp/0953682382/ref=sr_1_1?s=books&ie=UTF8&qid=1338741653&sr=1-1 Introductions to Number Theory and Inequalities]<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=sr_1_1?s=books&ie=UTF8&qid=1338741697&sr=1-1 104 Number Theory Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/102-Combinatorial-Problems-Titu-Andreescu/dp/0817643176/ref=sr_1_1?s=books&ie=UTF8&qid=1338741741&sr=1-1 102 Combinatorial Problems]<br />
* [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/8181283368/ref=sr_1_2?s=books&ie=UTF8&qid=1338741874&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies]<br />
* [http://www.amazon.com/Mathematical-Olympiads-1972-1986-Problems-Solutions/dp/0883856344/ref=sr_1_fkmr1_1?s=books&ie=UTF8&qid=1338742228&sr=1-1 -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and Solutions]<br />
* [http://www.amazon.com/s/ref=nb_sb_noss_1?url=search-alias%3Daps&field-keywords=art+and+craft+of+problem+solving Art and Craft of Problem Solving]<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=sr_1_1?ie=UTF8&qid=1338865322&sr=8-1 Problem Solving Strategies]<br />
<br />
===Problem Sets===<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvS05vQ0N6aEVqSGs/view?usp=sharing Practice problems from around the world]<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvQkkwS0xsVVZ3Z1E/view?usp=sharing General problems in Olympiad Mathematics]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_44261211c725bfc07fe3a40698ce18b0 Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e3aaee2729d3d97d945b66e06971e5bc 100 Polynomial Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_afdd8bf4469c8aa0dd12406f9d246da1 Trigonometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82357_cfd6bc6cd06884730701121c0146d455 General all levels]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/85314_e1e907a6c92d64bea241ed35b6414d3a Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_c808a31bb53413a4d4c90426d66df645 Olympiad Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_b361f5fe3bb9b43c6d8a1b516e200bc6 33 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_fbc5d584d5949657f5b7db35d2548f4b Induction Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_c6b98fb00f3baca6fefb3978db3dda1d Induction Solutions]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/369_675af9219c63516a024366c1d8d28251 260 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_4872d512bdc737f3379ad265e17340d1 150 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_65dac7d2c6936fe666a991407da6cbeb 50 Diophantine Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_d8b71468d1bc454fb4ca732ed7950e19 60 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/62273_8f432f52f6a8b50ffab885999aacb652 116 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/47577_3609b09820bce0490302aca817405696 Algebraic Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f6f1d08183b32b889ee7d4315ef6f620 100 Combinatorics Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_55fffd4049ab2308ae770a143f03d7c1 100 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/16383_6600f91864a38bc31764efe5d8b69475 Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_946d6121c243f09232ea6c390236abfd Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_fd4595a2f0efac349561fae52fa49c2b General]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f0a58877b5326ff79aca7f091559d4e4 100 Number Theory Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_cc845a4f181a71ab84cf7af38b79018c 100 Functional Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_4dfa3fbf02e9fd55fcfa3ece6a1a1835 Beginning/Intermediate Counting and Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82334_ea1bd0c9afa7d8b36d4b7c9e53048d37 40 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/91148_d2614226d17974c7cae22fd6819e6a35 100 Geometric Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/139996_1ce94c21ab568094858ede6bdfbec235 10 Fun Unconventional Problems :)]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/118_a49397fc1e83d0931c0e72c9139d5a29 169 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_6df2379fee465fac760b788106151ed8 Triangle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a090e8492fc3b5e6c9f4ef72e8c25f53 Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_3b10e491c0ba9d6421f55aab84c24632 Algebra]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_cc6e30d39d41a700d293c1c36869ca6f Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_c06dc3f7dddb7efe22b5f9c0db0d3a49 Circle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a7c63b4b9529686a56abe8298ed1eaa4 Other Geometry]<br />
<br />
'''[http://www.artofproblemsolving.com/wiki/index.php/AoPSWiki:Competition_ratings Ranking of all Olympiads (Difficulty Level)]'''<br />
<br />
== See also ==<br />
<br />
* [[List of mathematics competitions]]<br />
* [[Mathematics scholarships]]<br />
* [[Science competitions]]<br />
* [[Informatics competitions]]<br />
* [http://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F How should I prepare]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Resources_for_mathematics_competitions&diff=95248Resources for mathematics competitions2018-06-17T23:47:55Z<p>Masterproblemsolver123: /* Problems online */</p>
<hr />
<div>The [[Art of Problem Solving]] hosts this [[AoPSWiki]] as well as many other online resources for students interested in [[mathematics competitions]]. Look around the AoPSWiki. Individual articles often have sample problems and solutions for many levels of problem solvers. Many also have links to books, websites, and other resources relevant to the topic.<br />
<br />
* [[Math books]]<br />
* [[Mathematics forums]]<br />
* [[Mathematics websites]]<br />
<br />
<br />
== Math Competition Classes ==<br />
* [[Art of Problem Solving]] hosts classes that are popular among many of the highest performing students in the United States. [http://www.artofproblemsolving.com/Classes/AoPS_C_PSeries.php AoPS Problem Series].<br />
* [[EPGY]] hosts classes for [[AMC]] students.<br />
<br />
== Math Competition Problems ==<br />
=== Problem Books ===<br />
Many mathematics competitions sell books of past competitions and solutions. These books can be great supplementary material for avid students of mathematics.<br />
* [[ARML]] has four problem books covering most ARML as well as some [[NYSML]] competitions. However, they are generally difficult to find. Some can be ordered [http://www.arml.com/books.htm here].<br />
* [[MOEMS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[MathCounts]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[AMC]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[Mandelbrot Competition]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
<br />
=== Problems Online ===<br />
[[Art of Problem Solving]] maintains a very large database of [http://www.artofproblemsolving.com/Forum/resources.php math contest problems]. Many math contest websites include archives of past problems. The [[List of mathematics competitions]] leads to links for many of these competition homepages. Here are a few examples:<br />
==== Introductory Problem Solvers ====<br />
* [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems].<br />
* Noetic Learning [http://www.noetic-learning.com/gifted/index.jsp Challenge Math] - Problem Solving for the Gifted Elementary Students .<br />
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page].<br />
* [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage].<br />
* The [[South African Mathematics Olympiad]] [http://www.samf.ac.za/QuestionPapers.aspx here] includes many years of past problems with solutions.<br />
* [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8<br />
<br />
==== Intermediate Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at [https://mks.mff.cuni.cz/kalva/ this page])<br />
* Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [http://www.uccs.edu/%7Easoifer/olympiad.html CMO homepage].<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels.<br />
*[https://www.clevermath.org/ Clevermath] Is similar to above<br />
<br />
==== Olympiad Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline - but a few mirrors are available, e.g [https://mks.mff.cuni.cz/kalva/ here].)<br />
* [http://www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions.<br />
* [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society].<br />
* [http://web.archive.org/web/20120825124642/http://pertselv.tripod.com/RusMath.html Problems of the All-Soviet-Union math competitions 1961-1986] - Many problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [http://web.archive.org/web/20091027032345/http://geocities.com/CapeCanaveral/Lab/4661/ Olympiad Math Madness] - Stacks of challenging problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
<br />
== Articles ==<br />
<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Contests.php Pros and Cons and Math Competitions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/articles/culture Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill.<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Mistakes.php Stop Making Stupid Mistakes] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Questions.php Stupid Questions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Teaching.php Learning Through Teaching]<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php How to Write a Solution] by [[Richard Rusczyk]] and [[user:MCrawford | Mathew Crawford]].<br />
<br />
== A Huge List of Links ==<br />
=== AoPS Course Recommendations ===<br />
*[http://www.artofproblemsolving.com/School/recommendations.php: Art of Problem Solving Course Recommendations]<br />
*Do you still have trouble deciding which course? [http://www.artofproblemsolving.com/Store/personalrec.php Ask for personal recommendations!]<br />
<br />
===AMC 8 Preparation===<br />
====Problems====<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42 AMC 8 Problems in the Resources Section]<br />
<br />
Problem and Solutions: [http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki]<br />
<br />
===AMC 10/12 Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=388108&hilit=preparation How preparing for the AIME will help AMC 10/12 Score] <br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396741&hilit=preparation What class to take?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=387918&hilit=preparation AMC 10 for AMC 12 practice]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385418&hilit=preparation AMC prep]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384828&hilit=preparation AMC 10/12 Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384747&hilit=preparation AIME/AMC 10 Overlap and Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=378851&hilit=preparation How to prepare for amc10 and aime?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=369849&hilit=preparation Preparation for AMC 10?]<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_10_Problems_and_Solutions AMC 10 Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki]<br />
<br />
===AIME Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397954&hilit=preparation Studying to qualify for USAMO]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=400442&hilit=preparation How to prepare for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399160&hilit=preparation Preparation for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=357602&hilit=preparation Using non-AIME questions to prepare for AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=355918&hilit=preparation Best books to prepare for AIME?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344816&hilit=preparation How to improve AIME score to make JMO?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=341827&hilit=preparation Preparation for AIME and USAMO]<br />
<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki]<br />
<br />
[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems by sorted by difficulty]<br />
<br />
===Beginning Olympiad Preparation===<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation How to Prepare for USAJMO?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep]<br />
<br />
====Bunch of General links====<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep Usamo prep ]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep Counting down to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep USAJMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep USAJMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep How to prepare for the USAMO/Making Red MOP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep Preparing in a hardcore way]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep USAMO and JMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep USAMO PREP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep Beginner to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454 What should I be doing?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep Improve to USAMO and IMO level]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep Prep for USA(J)MO]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654 contest math stuff/some advice on how to get good]'''<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845 Olympiad Prep]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622 Olympiad Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h619416p3697136 USAJMO Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h520900 The Right Training]'''<br />
* '''[https://usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests/ What Leads to Success]'''<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176 USAJMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAJMO_Problems_and_Solutions USAJMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
<br />
===Middle/Advanced Olympiad Preparation===<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38804 Practice Olympiad 2]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38805 Practice Olympiad 3]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] <br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki]<br />
<br />
===Book Links:===<br />
====Olympiad Level====<br />
=====Free=====<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvejlpenRmZGh6SDQ/view?usp=sharing Lemmas in Olympiad Geometry article]<br />
* [http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry]<br />
<br />
=====Not Free=====<br />
* [http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1 Plane Euclidean Geometry: Theory and Problems]<br />
* [http://www.amazon.com/Complex-Geometry-Mathematical-Association-Textbooks/dp/0883855100/ref=sr_1_1?s=books&ie=UTF8&qid=1338742131&sr=1-1 Complex Numbers and Geometry]<br />
* [http://www.amazon.com/Geometry-Complex-Numbers-Dover-Mathematics/dp/0486638308/ref=sr_1_1?s=books&ie=UTF8&qid=1338742156&sr=1-1 Geometry of Complex Numbers]<br />
* [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?s=books&ie=UTF8&qid=1338741912&sr=1-1 Complex Numbers from A to …Z]<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=sr_1_1?s=books&ie=UTF8&qid=1338742048&sr=1-1 103 Trigonometry Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/An-Introduction-Diophantine-Equations-Problem-Based/dp/0817645489/ref=sr_1_1?ie=UTF8&qid=1338741533&sr=8-1 An Introduction to Diophantine Equations: A Problem-Based Approach]<br />
* [http://www.amazon.com/Introductions-Number-Theory-Inequalities-Bradley/dp/0953682382/ref=sr_1_1?s=books&ie=UTF8&qid=1338741653&sr=1-1 Introductions to Number Theory and Inequalities]<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=sr_1_1?s=books&ie=UTF8&qid=1338741697&sr=1-1 104 Number Theory Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/102-Combinatorial-Problems-Titu-Andreescu/dp/0817643176/ref=sr_1_1?s=books&ie=UTF8&qid=1338741741&sr=1-1 102 Combinatorial Problems]<br />
* [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/8181283368/ref=sr_1_2?s=books&ie=UTF8&qid=1338741874&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies]<br />
* [http://www.amazon.com/Mathematical-Olympiads-1972-1986-Problems-Solutions/dp/0883856344/ref=sr_1_fkmr1_1?s=books&ie=UTF8&qid=1338742228&sr=1-1 -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and Solutions]<br />
* [http://www.amazon.com/s/ref=nb_sb_noss_1?url=search-alias%3Daps&field-keywords=art+and+craft+of+problem+solving Art and Craft of Problem Solving]<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=sr_1_1?ie=UTF8&qid=1338865322&sr=8-1 Problem Solving Strategies]<br />
<br />
===Problem Sets===<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvS05vQ0N6aEVqSGs/view?usp=sharing Practice problems from around the world]<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvQkkwS0xsVVZ3Z1E/view?usp=sharing General problems in Olympiad Mathematics]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_44261211c725bfc07fe3a40698ce18b0 Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e3aaee2729d3d97d945b66e06971e5bc 100 Polynomial Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_afdd8bf4469c8aa0dd12406f9d246da1 Trigonometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82357_cfd6bc6cd06884730701121c0146d455 General all levels]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/85314_e1e907a6c92d64bea241ed35b6414d3a Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_c808a31bb53413a4d4c90426d66df645 Olympiad Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_b361f5fe3bb9b43c6d8a1b516e200bc6 33 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_fbc5d584d5949657f5b7db35d2548f4b Induction Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_c6b98fb00f3baca6fefb3978db3dda1d Induction Solutions]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/369_675af9219c63516a024366c1d8d28251 260 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_4872d512bdc737f3379ad265e17340d1 150 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_65dac7d2c6936fe666a991407da6cbeb 50 Diophantine Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_d8b71468d1bc454fb4ca732ed7950e19 60 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/62273_8f432f52f6a8b50ffab885999aacb652 116 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/47577_3609b09820bce0490302aca817405696 Algebraic Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f6f1d08183b32b889ee7d4315ef6f620 100 Combinatorics Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_55fffd4049ab2308ae770a143f03d7c1 100 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/16383_6600f91864a38bc31764efe5d8b69475 Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_946d6121c243f09232ea6c390236abfd Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_fd4595a2f0efac349561fae52fa49c2b General]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f0a58877b5326ff79aca7f091559d4e4 100 Number Theory Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_cc845a4f181a71ab84cf7af38b79018c 100 Functional Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_4dfa3fbf02e9fd55fcfa3ece6a1a1835 Beginning/Intermediate Counting and Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82334_ea1bd0c9afa7d8b36d4b7c9e53048d37 40 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/91148_d2614226d17974c7cae22fd6819e6a35 100 Geometric Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/139996_1ce94c21ab568094858ede6bdfbec235 10 Fun Unconventional Problems :)]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/118_a49397fc1e83d0931c0e72c9139d5a29 169 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_6df2379fee465fac760b788106151ed8 Triangle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a090e8492fc3b5e6c9f4ef72e8c25f53 Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_3b10e491c0ba9d6421f55aab84c24632 Algebra]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_cc6e30d39d41a700d293c1c36869ca6f Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_c06dc3f7dddb7efe22b5f9c0db0d3a49 Circle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a7c63b4b9529686a56abe8298ed1eaa4 Other Geometry]<br />
<br />
'''[http://www.artofproblemsolving.com/wiki/index.php/AoPSWiki:Competition_ratings Ranking of all Olympiads (Difficulty Level)]'''<br />
<br />
== See also ==<br />
<br />
* [[List of mathematics competitions]]<br />
* [[Mathematics scholarships]]<br />
* [[Science competitions]]<br />
* [[Informatics competitions]]<br />
* [http://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F How should I prepare]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Resources_for_mathematics_competitions&diff=95247Resources for mathematics competitions2018-06-17T23:47:42Z<p>Masterproblemsolver123: /* Problem books */</p>
<hr />
<div>The [[Art of Problem Solving]] hosts this [[AoPSWiki]] as well as many other online resources for students interested in [[mathematics competitions]]. Look around the AoPSWiki. Individual articles often have sample problems and solutions for many levels of problem solvers. Many also have links to books, websites, and other resources relevant to the topic.<br />
<br />
* [[Math books]]<br />
* [[Mathematics forums]]<br />
* [[Mathematics websites]]<br />
<br />
<br />
== Math Competition Classes ==<br />
* [[Art of Problem Solving]] hosts classes that are popular among many of the highest performing students in the United States. [http://www.artofproblemsolving.com/Classes/AoPS_C_PSeries.php AoPS Problem Series].<br />
* [[EPGY]] hosts classes for [[AMC]] students.<br />
<br />
== Math Competition Problems ==<br />
=== Problem Books ===<br />
Many mathematics competitions sell books of past competitions and solutions. These books can be great supplementary material for avid students of mathematics.<br />
* [[ARML]] has four problem books covering most ARML as well as some [[NYSML]] competitions. However, they are generally difficult to find. Some can be ordered [http://www.arml.com/books.htm here].<br />
* [[MOEMS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[MathCounts]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[AMC]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[Mandelbrot Competition]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
<br />
=== Problems online ===<br />
[[Art of Problem Solving]] maintains a very large database of [http://www.artofproblemsolving.com/Forum/resources.php math contest problems]. Many math contest websites include archives of past problems. The [[List of mathematics competitions]] leads to links for many of these competition homepages. Here are a few examples:<br />
==== Introductory Problem Solvers ====<br />
* [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems].<br />
* Noetic Learning [http://www.noetic-learning.com/gifted/index.jsp Challenge Math] - Problem Solving for the Gifted Elementary Students .<br />
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page].<br />
* [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage].<br />
* The [[South African Mathematics Olympiad]] [http://www.samf.ac.za/QuestionPapers.aspx here] includes many years of past problems with solutions.<br />
* [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8<br />
<br />
==== Intermediate Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at [https://mks.mff.cuni.cz/kalva/ this page])<br />
* Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [http://www.uccs.edu/%7Easoifer/olympiad.html CMO homepage].<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels.<br />
*[https://www.clevermath.org/ Clevermath] Is similar to above<br />
<br />
==== Olympiad Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline - but a few mirrors are available, e.g [https://mks.mff.cuni.cz/kalva/ here].)<br />
* [http://www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions.<br />
* [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society].<br />
* [http://web.archive.org/web/20120825124642/http://pertselv.tripod.com/RusMath.html Problems of the All-Soviet-Union math competitions 1961-1986] - Many problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [http://web.archive.org/web/20091027032345/http://geocities.com/CapeCanaveral/Lab/4661/ Olympiad Math Madness] - Stacks of challenging problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
<br />
== Articles ==<br />
<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Contests.php Pros and Cons and Math Competitions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/articles/culture Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill.<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Mistakes.php Stop Making Stupid Mistakes] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Questions.php Stupid Questions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Teaching.php Learning Through Teaching]<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php How to Write a Solution] by [[Richard Rusczyk]] and [[user:MCrawford | Mathew Crawford]].<br />
<br />
== A Huge List of Links ==<br />
=== AoPS Course Recommendations ===<br />
*[http://www.artofproblemsolving.com/School/recommendations.php: Art of Problem Solving Course Recommendations]<br />
*Do you still have trouble deciding which course? [http://www.artofproblemsolving.com/Store/personalrec.php Ask for personal recommendations!]<br />
<br />
===AMC 8 Preparation===<br />
====Problems====<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42 AMC 8 Problems in the Resources Section]<br />
<br />
Problem and Solutions: [http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki]<br />
<br />
===AMC 10/12 Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=388108&hilit=preparation How preparing for the AIME will help AMC 10/12 Score] <br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396741&hilit=preparation What class to take?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=387918&hilit=preparation AMC 10 for AMC 12 practice]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385418&hilit=preparation AMC prep]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384828&hilit=preparation AMC 10/12 Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384747&hilit=preparation AIME/AMC 10 Overlap and Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=378851&hilit=preparation How to prepare for amc10 and aime?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=369849&hilit=preparation Preparation for AMC 10?]<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_10_Problems_and_Solutions AMC 10 Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki]<br />
<br />
===AIME Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397954&hilit=preparation Studying to qualify for USAMO]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=400442&hilit=preparation How to prepare for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399160&hilit=preparation Preparation for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=357602&hilit=preparation Using non-AIME questions to prepare for AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=355918&hilit=preparation Best books to prepare for AIME?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344816&hilit=preparation How to improve AIME score to make JMO?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=341827&hilit=preparation Preparation for AIME and USAMO]<br />
<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki]<br />
<br />
[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems by sorted by difficulty]<br />
<br />
===Beginning Olympiad Preparation===<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation How to Prepare for USAJMO?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep]<br />
<br />
====Bunch of General links====<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep Usamo prep ]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep Counting down to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep USAJMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep USAJMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep How to prepare for the USAMO/Making Red MOP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep Preparing in a hardcore way]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep USAMO and JMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep USAMO PREP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep Beginner to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454 What should I be doing?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep Improve to USAMO and IMO level]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep Prep for USA(J)MO]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654 contest math stuff/some advice on how to get good]'''<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845 Olympiad Prep]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622 Olympiad Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h619416p3697136 USAJMO Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h520900 The Right Training]'''<br />
* '''[https://usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests/ What Leads to Success]'''<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176 USAJMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAJMO_Problems_and_Solutions USAJMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
<br />
===Middle/Advanced Olympiad Preparation===<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38804 Practice Olympiad 2]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38805 Practice Olympiad 3]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] <br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki]<br />
<br />
===Book Links:===<br />
====Olympiad Level====<br />
=====Free=====<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvejlpenRmZGh6SDQ/view?usp=sharing Lemmas in Olympiad Geometry article]<br />
* [http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry]<br />
<br />
=====Not Free=====<br />
* [http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1 Plane Euclidean Geometry: Theory and Problems]<br />
* [http://www.amazon.com/Complex-Geometry-Mathematical-Association-Textbooks/dp/0883855100/ref=sr_1_1?s=books&ie=UTF8&qid=1338742131&sr=1-1 Complex Numbers and Geometry]<br />
* [http://www.amazon.com/Geometry-Complex-Numbers-Dover-Mathematics/dp/0486638308/ref=sr_1_1?s=books&ie=UTF8&qid=1338742156&sr=1-1 Geometry of Complex Numbers]<br />
* [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?s=books&ie=UTF8&qid=1338741912&sr=1-1 Complex Numbers from A to …Z]<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=sr_1_1?s=books&ie=UTF8&qid=1338742048&sr=1-1 103 Trigonometry Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/An-Introduction-Diophantine-Equations-Problem-Based/dp/0817645489/ref=sr_1_1?ie=UTF8&qid=1338741533&sr=8-1 An Introduction to Diophantine Equations: A Problem-Based Approach]<br />
* [http://www.amazon.com/Introductions-Number-Theory-Inequalities-Bradley/dp/0953682382/ref=sr_1_1?s=books&ie=UTF8&qid=1338741653&sr=1-1 Introductions to Number Theory and Inequalities]<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=sr_1_1?s=books&ie=UTF8&qid=1338741697&sr=1-1 104 Number Theory Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/102-Combinatorial-Problems-Titu-Andreescu/dp/0817643176/ref=sr_1_1?s=books&ie=UTF8&qid=1338741741&sr=1-1 102 Combinatorial Problems]<br />
* [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/8181283368/ref=sr_1_2?s=books&ie=UTF8&qid=1338741874&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies]<br />
* [http://www.amazon.com/Mathematical-Olympiads-1972-1986-Problems-Solutions/dp/0883856344/ref=sr_1_fkmr1_1?s=books&ie=UTF8&qid=1338742228&sr=1-1 -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and Solutions]<br />
* [http://www.amazon.com/s/ref=nb_sb_noss_1?url=search-alias%3Daps&field-keywords=art+and+craft+of+problem+solving Art and Craft of Problem Solving]<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=sr_1_1?ie=UTF8&qid=1338865322&sr=8-1 Problem Solving Strategies]<br />
<br />
===Problem Sets===<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvS05vQ0N6aEVqSGs/view?usp=sharing Practice problems from around the world]<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvQkkwS0xsVVZ3Z1E/view?usp=sharing General problems in Olympiad Mathematics]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_44261211c725bfc07fe3a40698ce18b0 Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e3aaee2729d3d97d945b66e06971e5bc 100 Polynomial Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_afdd8bf4469c8aa0dd12406f9d246da1 Trigonometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82357_cfd6bc6cd06884730701121c0146d455 General all levels]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/85314_e1e907a6c92d64bea241ed35b6414d3a Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_c808a31bb53413a4d4c90426d66df645 Olympiad Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_b361f5fe3bb9b43c6d8a1b516e200bc6 33 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_fbc5d584d5949657f5b7db35d2548f4b Induction Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_c6b98fb00f3baca6fefb3978db3dda1d Induction Solutions]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/369_675af9219c63516a024366c1d8d28251 260 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_4872d512bdc737f3379ad265e17340d1 150 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_65dac7d2c6936fe666a991407da6cbeb 50 Diophantine Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_d8b71468d1bc454fb4ca732ed7950e19 60 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/62273_8f432f52f6a8b50ffab885999aacb652 116 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/47577_3609b09820bce0490302aca817405696 Algebraic Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f6f1d08183b32b889ee7d4315ef6f620 100 Combinatorics Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_55fffd4049ab2308ae770a143f03d7c1 100 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/16383_6600f91864a38bc31764efe5d8b69475 Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_946d6121c243f09232ea6c390236abfd Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_fd4595a2f0efac349561fae52fa49c2b General]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f0a58877b5326ff79aca7f091559d4e4 100 Number Theory Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_cc845a4f181a71ab84cf7af38b79018c 100 Functional Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_4dfa3fbf02e9fd55fcfa3ece6a1a1835 Beginning/Intermediate Counting and Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82334_ea1bd0c9afa7d8b36d4b7c9e53048d37 40 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/91148_d2614226d17974c7cae22fd6819e6a35 100 Geometric Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/139996_1ce94c21ab568094858ede6bdfbec235 10 Fun Unconventional Problems :)]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/118_a49397fc1e83d0931c0e72c9139d5a29 169 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_6df2379fee465fac760b788106151ed8 Triangle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a090e8492fc3b5e6c9f4ef72e8c25f53 Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_3b10e491c0ba9d6421f55aab84c24632 Algebra]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_cc6e30d39d41a700d293c1c36869ca6f Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_c06dc3f7dddb7efe22b5f9c0db0d3a49 Circle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a7c63b4b9529686a56abe8298ed1eaa4 Other Geometry]<br />
<br />
'''[http://www.artofproblemsolving.com/wiki/index.php/AoPSWiki:Competition_ratings Ranking of all Olympiads (Difficulty Level)]'''<br />
<br />
== See also ==<br />
<br />
* [[List of mathematics competitions]]<br />
* [[Mathematics scholarships]]<br />
* [[Science competitions]]<br />
* [[Informatics competitions]]<br />
* [http://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F How should I prepare]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Mathematics_websites&diff=95246Mathematics websites2018-06-17T23:45:46Z<p>Masterproblemsolver123: /* Websites for mathematicians */</p>
<hr />
<div>There are many great '''Mathematics websites''' around the [[internet]]. Here we organize a list of those sites we feel are best for students with high interest in [[mathematics]]. Note that [[mathematics forums]] are listed and discussed seperately.<br />
<br />
<br />
<br />
== Internet Resource Websites ==<br />
<br />
* [http://archives.math.utk.edu/index.html Math Archives]<br />
* [http://www.math-atlas.org/ Math Atlas]<br />
<br />
<br />
== Websites For High School Students ==<br />
<br />
* [http://www.pims.math.ca/pi/ Pi in the Sky] is a mathematics magazine for high school students.<br />
<br />
=== Websites for Olympiad students ===<br />
<br />
* [[Komal]] is a storied Hungarian [[math]] and [[physics]] journal. [http://www.komal.hu/info/bemutatkozas.e.shtml website].<br />
* [http://www.math.ust.hk/excalibur/ Mathematical Excalibur].<br />
* [http://reflections.awesomemath.org/ Mathematical Reflections] is a new online journal for Olympiad and collegiate mathematics.<br />
* [http://www.geometer.org/mathcircles/ Tom Davis's] site for [[math circles]] topics.<br />
* [http://mathworld.wolfram.com/ MathWorld] is a vast and well-maintained resource for math, science, and computer science professionals and students studying at a high level.<br />
<br />
== Websites For Math Enthusiasts ==<br />
<br />
* [[AoPS]] -- That's where you are now! [http://www.artofproblemsolving.com Home].<br />
* [https://brilliant.org/ Brilliant] contains a lot of problems and has a vast community of math lovers.<br />
* [https://www.expii.com/ Expii] is a relatively new addition but now it contains thousands of topics and members.<br />
* [[Cut-the-knot]], a.k.a. Interactive Mathematics Miscellany and Puzzles, is a large and amazing site put together by [[Alexander Bogomolny]]. It includes an enormous number of [[mathematics articles]] and [[math games]] that are well-designed for teaching mathematical concepts. [http://www.cut-the-knot.org/index.shtml website].<br />
* [[Mathematical Database]] contains lots of useful math stuff. [http://eng.mathdb.org/ website].<br />
* [http://www.geometer.org/mathcircles/ Tom Davis's] site for [[math circles]] topics.<br />
* [http://www.mathisfun.com Math is fun] site for math<br />
<br />
== Websites for Math Teachers ==<br />
* [http://www.ct4me.net/ CT4ME] is dedicated to promoting the use of [[technology]] in [[mathematics education]].<br />
<br />
<br />
<br />
== Websites For Math History ==<br />
<br />
* [http://turnbull.dcs.st-and.ac.uk/history/index.html MacTudor History of Mathematics]<br />
* [[Wikipedia]] includes an enormous amount of information on the [http://en.wikipedia.org/wiki/History_of_math history of mathematics].<br />
<br />
== Websites For Mathematicians ==<br />
<br />
* [http://mathworld.wolfram.com/ MathWorld] is a vast and well-maintained resource for math, science, and computer science professionals and students studying at a high level.<br />
* [[Wikipedia]] includes articles about noncontroversial, published [http://en.wikipedia.org/wiki/Mathematics mathematics].<br />
* [http://www.math-atlas.org/ Math Atlas]<br />
<br />
== See also ==<br />
<br />
* [[Mathematics competitions]]<br />
* [[Mathematics forums]]<br />
* [[Mathematics news]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Mathematics_websites&diff=95245Mathematics websites2018-06-17T23:45:31Z<p>Masterproblemsolver123: /* Websites for math history */</p>
<hr />
<div>There are many great '''Mathematics websites''' around the [[internet]]. Here we organize a list of those sites we feel are best for students with high interest in [[mathematics]]. Note that [[mathematics forums]] are listed and discussed seperately.<br />
<br />
<br />
<br />
== Internet Resource Websites ==<br />
<br />
* [http://archives.math.utk.edu/index.html Math Archives]<br />
* [http://www.math-atlas.org/ Math Atlas]<br />
<br />
<br />
== Websites For High School Students ==<br />
<br />
* [http://www.pims.math.ca/pi/ Pi in the Sky] is a mathematics magazine for high school students.<br />
<br />
=== Websites for Olympiad students ===<br />
<br />
* [[Komal]] is a storied Hungarian [[math]] and [[physics]] journal. [http://www.komal.hu/info/bemutatkozas.e.shtml website].<br />
* [http://www.math.ust.hk/excalibur/ Mathematical Excalibur].<br />
* [http://reflections.awesomemath.org/ Mathematical Reflections] is a new online journal for Olympiad and collegiate mathematics.<br />
* [http://www.geometer.org/mathcircles/ Tom Davis's] site for [[math circles]] topics.<br />
* [http://mathworld.wolfram.com/ MathWorld] is a vast and well-maintained resource for math, science, and computer science professionals and students studying at a high level.<br />
<br />
== Websites For Math Enthusiasts ==<br />
<br />
* [[AoPS]] -- That's where you are now! [http://www.artofproblemsolving.com Home].<br />
* [https://brilliant.org/ Brilliant] contains a lot of problems and has a vast community of math lovers.<br />
* [https://www.expii.com/ Expii] is a relatively new addition but now it contains thousands of topics and members.<br />
* [[Cut-the-knot]], a.k.a. Interactive Mathematics Miscellany and Puzzles, is a large and amazing site put together by [[Alexander Bogomolny]]. It includes an enormous number of [[mathematics articles]] and [[math games]] that are well-designed for teaching mathematical concepts. [http://www.cut-the-knot.org/index.shtml website].<br />
* [[Mathematical Database]] contains lots of useful math stuff. [http://eng.mathdb.org/ website].<br />
* [http://www.geometer.org/mathcircles/ Tom Davis's] site for [[math circles]] topics.<br />
* [http://www.mathisfun.com Math is fun] site for math<br />
<br />
== Websites for Math Teachers ==<br />
* [http://www.ct4me.net/ CT4ME] is dedicated to promoting the use of [[technology]] in [[mathematics education]].<br />
<br />
<br />
<br />
== Websites For Math History ==<br />
<br />
* [http://turnbull.dcs.st-and.ac.uk/history/index.html MacTudor History of Mathematics]<br />
* [[Wikipedia]] includes an enormous amount of information on the [http://en.wikipedia.org/wiki/History_of_math history of mathematics].<br />
<br />
== Websites for mathematicians ==<br />
<br />
* [http://mathworld.wolfram.com/ MathWorld] is a vast and well-maintained resource for math, science, and computer science professionals and students studying at a high level.<br />
* [[Wikipedia]] includes articles about noncontroversial, published [http://en.wikipedia.org/wiki/Mathematics mathematics].<br />
* [http://www.math-atlas.org/ Math Atlas]<br />
<br />
<br />
== See also ==<br />
<br />
* [[Mathematics competitions]]<br />
* [[Mathematics forums]]<br />
* [[Mathematics news]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Mathematics_websites&diff=95244Mathematics websites2018-06-17T23:45:17Z<p>Masterproblemsolver123: /* Websites for math enthusiasts */</p>
<hr />
<div>There are many great '''Mathematics websites''' around the [[internet]]. Here we organize a list of those sites we feel are best for students with high interest in [[mathematics]]. Note that [[mathematics forums]] are listed and discussed seperately.<br />
<br />
<br />
<br />
== Internet Resource Websites ==<br />
<br />
* [http://archives.math.utk.edu/index.html Math Archives]<br />
* [http://www.math-atlas.org/ Math Atlas]<br />
<br />
<br />
== Websites For High School Students ==<br />
<br />
* [http://www.pims.math.ca/pi/ Pi in the Sky] is a mathematics magazine for high school students.<br />
<br />
=== Websites for Olympiad students ===<br />
<br />
* [[Komal]] is a storied Hungarian [[math]] and [[physics]] journal. [http://www.komal.hu/info/bemutatkozas.e.shtml website].<br />
* [http://www.math.ust.hk/excalibur/ Mathematical Excalibur].<br />
* [http://reflections.awesomemath.org/ Mathematical Reflections] is a new online journal for Olympiad and collegiate mathematics.<br />
* [http://www.geometer.org/mathcircles/ Tom Davis's] site for [[math circles]] topics.<br />
* [http://mathworld.wolfram.com/ MathWorld] is a vast and well-maintained resource for math, science, and computer science professionals and students studying at a high level.<br />
<br />
== Websites For Math Enthusiasts ==<br />
<br />
* [[AoPS]] -- That's where you are now! [http://www.artofproblemsolving.com Home].<br />
* [https://brilliant.org/ Brilliant] contains a lot of problems and has a vast community of math lovers.<br />
* [https://www.expii.com/ Expii] is a relatively new addition but now it contains thousands of topics and members.<br />
* [[Cut-the-knot]], a.k.a. Interactive Mathematics Miscellany and Puzzles, is a large and amazing site put together by [[Alexander Bogomolny]]. It includes an enormous number of [[mathematics articles]] and [[math games]] that are well-designed for teaching mathematical concepts. [http://www.cut-the-knot.org/index.shtml website].<br />
* [[Mathematical Database]] contains lots of useful math stuff. [http://eng.mathdb.org/ website].<br />
* [http://www.geometer.org/mathcircles/ Tom Davis's] site for [[math circles]] topics.<br />
* [http://www.mathisfun.com Math is fun] site for math<br />
<br />
== Websites for Math Teachers ==<br />
* [http://www.ct4me.net/ CT4ME] is dedicated to promoting the use of [[technology]] in [[mathematics education]].<br />
<br />
<br />
<br />
== Websites for math history ==<br />
<br />
* [http://turnbull.dcs.st-and.ac.uk/history/index.html MacTudor History of Mathematics]<br />
* [[Wikipedia]] includes an enormous amount of information on the [http://en.wikipedia.org/wiki/History_of_math history of mathematics].<br />
<br />
<br />
== Websites for mathematicians ==<br />
<br />
* [http://mathworld.wolfram.com/ MathWorld] is a vast and well-maintained resource for math, science, and computer science professionals and students studying at a high level.<br />
* [[Wikipedia]] includes articles about noncontroversial, published [http://en.wikipedia.org/wiki/Mathematics mathematics].<br />
* [http://www.math-atlas.org/ Math Atlas]<br />
<br />
<br />
== See also ==<br />
<br />
* [[Mathematics competitions]]<br />
* [[Mathematics forums]]<br />
* [[Mathematics news]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Mathematics_websites&diff=95243Mathematics websites2018-06-17T23:44:04Z<p>Masterproblemsolver123: /* Websites for high school students */</p>
<hr />
<div>There are many great '''Mathematics websites''' around the [[internet]]. Here we organize a list of those sites we feel are best for students with high interest in [[mathematics]]. Note that [[mathematics forums]] are listed and discussed seperately.<br />
<br />
<br />
<br />
== Internet Resource Websites ==<br />
<br />
* [http://archives.math.utk.edu/index.html Math Archives]<br />
* [http://www.math-atlas.org/ Math Atlas]<br />
<br />
<br />
== Websites For High School Students ==<br />
<br />
* [http://www.pims.math.ca/pi/ Pi in the Sky] is a mathematics magazine for high school students.<br />
<br />
=== Websites for Olympiad students ===<br />
<br />
* [[Komal]] is a storied Hungarian [[math]] and [[physics]] journal. [http://www.komal.hu/info/bemutatkozas.e.shtml website].<br />
* [http://www.math.ust.hk/excalibur/ Mathematical Excalibur].<br />
* [http://reflections.awesomemath.org/ Mathematical Reflections] is a new online journal for Olympiad and collegiate mathematics.<br />
* [http://www.geometer.org/mathcircles/ Tom Davis's] site for [[math circles]] topics.<br />
* [http://mathworld.wolfram.com/ MathWorld] is a vast and well-maintained resource for math, science, and computer science professionals and students studying at a high level.<br />
<br />
== Websites for math enthusiasts ==<br />
<br />
* [[AoPS]] -- That's where you are now! [http://www.artofproblemsolving.com Home].<br />
* [https://brilliant.org/ Brilliant] contains a lot of problems and has a vast community of math lovers.<br />
* [https://www.expii.com/ Expii] is a relatively new addition but now it contains thousands of topics and members.<br />
* [[Cut-the-knot]], a.k.a. Interactive Mathematics Miscellany and Puzzles, is a large and amazing site put together by [[Alexander Bogomolny]]. It includes an enormous number of [[mathematics articles]] and [[math games]] that are well-designed for teaching mathematical concepts. [http://www.cut-the-knot.org/index.shtml website].<br />
* [[Mathematical Database]] contains lots of useful math stuff. [http://eng.mathdb.org/ website].<br />
* [http://www.geometer.org/mathcircles/ Tom Davis's] site for [[math circles]] topics.<br />
* [http://www.mathisfun.com Math is fun] site for math<br />
<br />
== Websites for Math Teachers ==<br />
* [http://www.ct4me.net/ CT4ME] is dedicated to promoting the use of [[technology]] in [[mathematics education]].<br />
<br />
<br />
<br />
== Websites for math history ==<br />
<br />
* [http://turnbull.dcs.st-and.ac.uk/history/index.html MacTudor History of Mathematics]<br />
* [[Wikipedia]] includes an enormous amount of information on the [http://en.wikipedia.org/wiki/History_of_math history of mathematics].<br />
<br />
<br />
== Websites for mathematicians ==<br />
<br />
* [http://mathworld.wolfram.com/ MathWorld] is a vast and well-maintained resource for math, science, and computer science professionals and students studying at a high level.<br />
* [[Wikipedia]] includes articles about noncontroversial, published [http://en.wikipedia.org/wiki/Mathematics mathematics].<br />
* [http://www.math-atlas.org/ Math Atlas]<br />
<br />
<br />
== See also ==<br />
<br />
* [[Mathematics competitions]]<br />
* [[Mathematics forums]]<br />
* [[Mathematics news]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Math_books&diff=95242Math books2018-06-17T23:41:21Z<p>Masterproblemsolver123: /* General interest */</p>
<hr />
<div>These '''Math books''' are recommended by [[Art of Problem Solving]] administrators and members of the [http://aops.com/community AoPS Community].<br />
<br />
Levels of reading and math ability are loosely defined as follows:<br />
* Elementary is for elementary school students up through possibly early middle school.<br />
* Getting Started is recommended for students grades who are participating in contests like AMC 8/10 and Mathcounts.<br />
* Intermediate is recommended for students who can expect to pass the AMC 10/12.<br />
* Olympiad is recommended for high school students who are already studying math at an undergraduate level.<br />
* Collegiate is recommended for college and university students.<br />
<br />
More advanced topics are often left with the above levels unassigned.<br />
<br />
Before adding any books to this page, please review the [[AoPSWiki:Linking books]] page.<br />
<br />
<br />
== Books By Subject ==<br />
=== Algebra ===<br />
====Getting Started====<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s, [[David Patrick]]'s, and [[Ravi Boppana]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=prealgebra Prealgebra] textbook, which is recommended for advanced elementary and middle school students.<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:algebra Introduction to Algebra] textbook, which is recommended for advanced elementary, middle, and high school students.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817636773/artofproblems-20 Algebra] by I.M. Gelfand and Alexander Shen.<br />
* [http://www.amazon.com/Problems-Algebra-Training-Team-Enrichment/dp/187642012X/ref=sr_1_2?ie=UTF8&s=books&qid=1204029534&sr=8-2 101 Problems in Algebra from the Training of the US IMO Team] by Titu Andreescu and Zuming Feng<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s and [[Mathew Crawford]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:algebra Intermediate Algebra] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?ie=UTF8&s=books&qid=1204029652&sr=1-1 Complex Numbers from A to... Z] by [[Titu Andreescu]]<br />
<br />
=== Analysis ===<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486428753/artofproblems-20 Counterexamples in Analysis] by Bernard R. Gelbaum and John M. H. Olmsted.<br />
<br />
<br />
=== Calculus ===<br />
==== High School ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=calculus Calculus] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0914098896/artofproblems-20 Calculus] by [[Michael Spivak]]. Top students swear by this book.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883858126/artofproblems-20 The Hitchhiker's Guide to Calculus] by [[Michael Spivak]].<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=8 AP Calculus Problems and Solutions Part II AB and BC] -- A fantastic resource for students mastering the material required for the AP exam.<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0805390219/artofproblems-20 Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus] by [[Michael Spivak]].<br />
<br />
<br />
=== Combinatorics ===<br />
==== Getting Started ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:counting Introduction to Counting & Probability] textbook, which is recommended for advanced middle and high school students.<br />
<br />
==== Intermediate ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:counting Intermediate Counting & Probability] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856158/artofproblems-20 Mathematics of Choice] by Ivan Niven.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
* [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/0817642889/ref=sr_1_2?ie=UTF8&s=books&qid=1219586040&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
* [http://www.math.upenn.edu/~wilf/DownldGF.html Generatingfunctionology]<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521663512/artofproblems-20 Enumerative Combinatorics, Volume 1] by Richard Stanley.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521789877/artofproblems-20 Enumerative Combinatorics, Volume 2] by Richard Stanley.<br />
* [http://www.amazon.com/First-Course-Probability-Sheldon-Ross/dp/0131856626/ref=pd_bbs_sr_1/103-7161656-8805468?ie=UTF8&s=books&qid=1190719501&sr=8-1 A First Course in Probability] by Sheldon Ross<br />
<br />
<br />
<br />
=== Geometry ===<br />
==== Getting Started ====<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry Introduction to Geometry] textbook, which is recommended for advanced middle and high school students.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486691543/artofproblems-20 Challenging Problems in Geometry] -- A good book for students who already have a solid handle on elementary geometry.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.<br />
*[http://www.amazon.com/Geometry-Problems-AwesomeMath-Summer-Program/dp/0979926947 106 Geometry Problems from the AwesomeMath Summer Program] by Titu Andreescu, Michal Rolinek, and Josef Tkadlec<br />
<br />
==== Olympiad ====<br />
* [https://www.amazon.com/gp/product/0883858398?%2AVersion%2A=1&%2Aentries%2A=0&pldnSite=1 Euclidean Geometry in Mathematical Olympiads] by Evan Chen<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855224/artofproblems-20 Non-Euclidean Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/Geometric-Transformations-I-Number-8/dp/0883856085/ref=sr_1_6?ie=UTF8&s=books&qid=1199807141&sr=1-6 Geometric Transformations I], [http://www.amazon.com/Geometric-Transformations-New-Mathematical-Library/dp/0883856212/ref=sr_1_5?ie=UTF8&s=books&qid=1199807203&sr=1-5 Geometric Transformations II], and [http://www.amazon.com/Geometric-Transformations-III-Mathematical-Library/dp/0883856247/ref=sr_1_1?ie=UTF8&s=books&qid=1199807249&sr=1-1 Geometric Transformations III] by I. M. Yaglom.<br />
*[http://www.amazon.com/Geometry-Problems-Awesomemath-Year-Round-Program/dp/0979926971/ref=sr_1_1?s=books&ie=UTF8&qid=1433093202&sr=1-1&keywords=107+geometry+problems 107 Geometry Problems from the AwesomeMath Year-Round Program] Titu Andreescu, Michal Rolinek, and Josef Tkadlec<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855224/artofproblems-20 Non-Euclidean Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].<br />
<br />
<br />
<br />
=== Inequalities ===<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856034/artofproblems-20 Introduction to Inequalities]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856042/artofproblems-20 Geometric Inequalities]<br />
<br />
==== Olympiad ==== <br />
* [http://www.amazon.com/exec/obidos/ASIN/052154677X/artofproblems-20 The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities] by J. Michael Steele.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel contains significant material on inequalities.<br />
*Titu Andreescu's Book on Geometric Maxima and Minima<br />
* [http://ultrametric.googlepages.com/tin2007.pdf Topics in Inequalities] by Hojoo Lee<br />
* [http://www.artofproblemsolving.com/Resources/Papers/MildorfInequalities.pdf Olympiad Inequalities] by Thomas Mildorf<br />
* [http://www.artofproblemsolving.com/Resources/Papers/KedlayaInequalities.pdf A<B (A is less than B)] by Kiran S. Kedlaya<br />
* [http://can-hang2007.blogspot.com/2009/12/secrets-in-inequalities-volume-1-basic.html Secrets in Inequalities vol 1 and 2] by Pham Kim Hung<br />
<br />
==== Collegiate ====<br />
<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521358809/artofproblems-20 Inequalities] by [[G. H. Hardy]], [[J. E. Littlewood]], and [[G. Polya]].<br />
<br />
<br />
<br />
=== Number Theory ===<br />
==== Introductory ====<br />
* The AoPS [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:nt Introduction to Number Theory] by [[Mathew Crawford]].<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/081763245X/artofproblems-20 Number Theory: A Problem-Solving Approach] by [[Titu Andreescu]] and Dorin Andrica.<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bbs_sr_1?ie=UTF8&s=books&qid=1199806669&sr=8-1 104 Number Theory Problems from the Training of the USA IMO Team] by [[Titu Andreescu]], Dorin Andrica and Zuming Feng.<br />
* [http://www.problem-solving.be/pen/published/pen-20070711.pdf Problems in Elementary Number Theory] by Hojoo Lee.<br />
<br />
<br />
=== Trigonometry ===<br />
==== Getting Started ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817639144/artofproblems-20 Trigonometry] by I.M. Gelfand and Mark Saul.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817639144/artofproblems-20 Trigonometry] by I.M. Gelfand and Mark Saul.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643346/artofproblems-20 103 Trigonometry Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643346/artofproblems-20 103 Trigonometry Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
<br />
<br />
=== Problem Solving ===<br />
==== Getting Started ====<br />
* the [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=1 Art of Problem Solving Volume 1] by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 7-9.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0821804308/artofproblems-20 Mathematical Circles] -- A wonderful peak into Russian math training.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486613488/artofproblems-20 100 Great Problems of Elementary Mathematics] by Heinrich Dorrie.<br />
<br />
==== Intermediate ====<br />
* the [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=2 Art of Problem Solving Volume 2] by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 9-12.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0471135712/artofproblems-20 The Art and Craft of Problem Solving] by [[Paul Zeitz]], former coach of the U.S. math team.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0691023565/artofproblems-20 How to Solve It] by [[George Polya]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/1895997046/artofproblems-20 A Mathematical Mosaic] by [[Putnam Fellow]] [[Ravi Vakil]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words], [http://www.amazon.com/exec/obidos/ASIN/0883857219/artofproblems-20 Proofs Without Words II]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486425665/artofproblems-20 Sequences, Combinations, Limits]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486613488/artofproblems-20 100 Great Problems of Elementary Mathematics] by Heinrich Dorrie.<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson.<br />
<br />
== General Interest ==<br />
* [http://www.amazon.com/exec/obidos/ASIN/0385495323/artofproblems-20 The Code Book] by Simon Singh.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0618251413/artofproblems-20 Count Down] by Steve Olson.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0385493622/artofproblems-20 Fermat's Enigma] by Simon Singh.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0465026567/artofproblems-20 Godel, Escher, Bach]<br />
* [http://www.amazon.com/exec/obidos/ASIN/014014739X/artofproblems-20 Journey Through Genius] by William Dunham.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521427061/artofproblems-20 A Mathematician's Apology] by [[G. H. Hardy]]. <br />
* [http://www.amazon.com/exec/obidos/ASIN/0066210704/artofproblems-20 The Music of the Primes] by Marcus du Sautoy.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words] by Roger B. Nelsen. <br />
* [http://www.amazon.com/exec/obidos/ASIN/0195105192/artofproblems-20 What is Mathematics?]by Richard Courant, Herbert Robbins and Ian Stewart.<br />
<br />
== Math Contest Problem Books ==<br />
=== Elementary School ===<br />
* [[Mathematical Olympiads for Elementary and Middle Schools]] ([[MOEMS]]) publishes [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MOEMS.php two excellent contest problem books].<br />
<br />
<br />
<br />
=== Getting Started ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MC.php MATHCOUNTS books] -- Practice problems at all levels from the [[MATHCOUNTS]] competition.<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_AMC.php Contest Problem Books] from the [[AMC]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521585686/artofproblems-20 More Mathematical Challenges] by Tony Gardiner. Over 150 problems from the [[UK Junior Mathematical Olympiad]], for students ages 11-15.<br />
<br />
<br />
=== Intermediate ===<br />
* The [[Mandelbrot Competition]] has [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Mand.php two problem books for sale] at [[AoPS]].<br />
* ARML books:<br />
**[http://www.amazon.com/exec/obidos/ASIN/0962640166/artofproblems-20 ARML-NYSML 1989-1994] (see [[ARML]]).<br />
** [http://www.arml.com/books.htm ARML 1995-2004]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855194/artofproblems-20 Five Hundred Mathematical Challenges] -- An excellent collection of problems (with solutions).<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486277097/artofproblems-20 The USSR Problem Book]<br />
*Leningrad Olympiads (Published by MathProPress.com)<br />
<br />
=== Olympiad ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=50 USAMO 1972-1986] -- Problems from the [[United States of America Mathematical Olympiad]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387242996/artofproblems-20 The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856441/artofproblems-20 Hungarian Problem Book III]<br />
* [http://www.amazon.com/exec/obidos/ASIN/088385645X/artofproblems-20 Mathematical Miniatures]<br />
*Mathematical Olympiad Treasures<br />
*Collections of Olympiads (APMO, China, USSR to name the harder ones) published by MathProPress.com.<br />
<br />
=== Collegiate ===<br />
* Three [[Putnam competition]] books are [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Putnam.php available at AoPS].<br />
<br />
== See also ==<br />
* [[Math textbooks]]<br />
* [[Resources for mathematics competitions]]<br />
* [[Olympiad Books]]<br />
[[Category:Books]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Math_books&diff=95241Math books2018-06-17T23:25:59Z<p>Masterproblemsolver123: /* Math Contest Problem Books */</p>
<hr />
<div>These '''Math books''' are recommended by [[Art of Problem Solving]] administrators and members of the [http://aops.com/community AoPS Community].<br />
<br />
Levels of reading and math ability are loosely defined as follows:<br />
* Elementary is for elementary school students up through possibly early middle school.<br />
* Getting Started is recommended for students grades who are participating in contests like AMC 8/10 and Mathcounts.<br />
* Intermediate is recommended for students who can expect to pass the AMC 10/12.<br />
* Olympiad is recommended for high school students who are already studying math at an undergraduate level.<br />
* Collegiate is recommended for college and university students.<br />
<br />
More advanced topics are often left with the above levels unassigned.<br />
<br />
Before adding any books to this page, please review the [[AoPSWiki:Linking books]] page.<br />
<br />
<br />
== Books By Subject ==<br />
=== Algebra ===<br />
====Getting Started====<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s, [[David Patrick]]'s, and [[Ravi Boppana]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=prealgebra Prealgebra] textbook, which is recommended for advanced elementary and middle school students.<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:algebra Introduction to Algebra] textbook, which is recommended for advanced elementary, middle, and high school students.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817636773/artofproblems-20 Algebra] by I.M. Gelfand and Alexander Shen.<br />
* [http://www.amazon.com/Problems-Algebra-Training-Team-Enrichment/dp/187642012X/ref=sr_1_2?ie=UTF8&s=books&qid=1204029534&sr=8-2 101 Problems in Algebra from the Training of the US IMO Team] by Titu Andreescu and Zuming Feng<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s and [[Mathew Crawford]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:algebra Intermediate Algebra] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?ie=UTF8&s=books&qid=1204029652&sr=1-1 Complex Numbers from A to... Z] by [[Titu Andreescu]]<br />
<br />
=== Analysis ===<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486428753/artofproblems-20 Counterexamples in Analysis] by Bernard R. Gelbaum and John M. H. Olmsted.<br />
<br />
<br />
=== Calculus ===<br />
==== High School ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=calculus Calculus] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0914098896/artofproblems-20 Calculus] by [[Michael Spivak]]. Top students swear by this book.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883858126/artofproblems-20 The Hitchhiker's Guide to Calculus] by [[Michael Spivak]].<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=8 AP Calculus Problems and Solutions Part II AB and BC] -- A fantastic resource for students mastering the material required for the AP exam.<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0805390219/artofproblems-20 Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus] by [[Michael Spivak]].<br />
<br />
<br />
=== Combinatorics ===<br />
==== Getting Started ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:counting Introduction to Counting & Probability] textbook, which is recommended for advanced middle and high school students.<br />
<br />
==== Intermediate ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:counting Intermediate Counting & Probability] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856158/artofproblems-20 Mathematics of Choice] by Ivan Niven.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
* [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/0817642889/ref=sr_1_2?ie=UTF8&s=books&qid=1219586040&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
* [http://www.math.upenn.edu/~wilf/DownldGF.html Generatingfunctionology]<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521663512/artofproblems-20 Enumerative Combinatorics, Volume 1] by Richard Stanley.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521789877/artofproblems-20 Enumerative Combinatorics, Volume 2] by Richard Stanley.<br />
* [http://www.amazon.com/First-Course-Probability-Sheldon-Ross/dp/0131856626/ref=pd_bbs_sr_1/103-7161656-8805468?ie=UTF8&s=books&qid=1190719501&sr=8-1 A First Course in Probability] by Sheldon Ross<br />
<br />
<br />
<br />
=== Geometry ===<br />
==== Getting Started ====<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry Introduction to Geometry] textbook, which is recommended for advanced middle and high school students.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486691543/artofproblems-20 Challenging Problems in Geometry] -- A good book for students who already have a solid handle on elementary geometry.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.<br />
*[http://www.amazon.com/Geometry-Problems-AwesomeMath-Summer-Program/dp/0979926947 106 Geometry Problems from the AwesomeMath Summer Program] by Titu Andreescu, Michal Rolinek, and Josef Tkadlec<br />
<br />
==== Olympiad ====<br />
* [https://www.amazon.com/gp/product/0883858398?%2AVersion%2A=1&%2Aentries%2A=0&pldnSite=1 Euclidean Geometry in Mathematical Olympiads] by Evan Chen<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855224/artofproblems-20 Non-Euclidean Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/Geometric-Transformations-I-Number-8/dp/0883856085/ref=sr_1_6?ie=UTF8&s=books&qid=1199807141&sr=1-6 Geometric Transformations I], [http://www.amazon.com/Geometric-Transformations-New-Mathematical-Library/dp/0883856212/ref=sr_1_5?ie=UTF8&s=books&qid=1199807203&sr=1-5 Geometric Transformations II], and [http://www.amazon.com/Geometric-Transformations-III-Mathematical-Library/dp/0883856247/ref=sr_1_1?ie=UTF8&s=books&qid=1199807249&sr=1-1 Geometric Transformations III] by I. M. Yaglom.<br />
*[http://www.amazon.com/Geometry-Problems-Awesomemath-Year-Round-Program/dp/0979926971/ref=sr_1_1?s=books&ie=UTF8&qid=1433093202&sr=1-1&keywords=107+geometry+problems 107 Geometry Problems from the AwesomeMath Year-Round Program] Titu Andreescu, Michal Rolinek, and Josef Tkadlec<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855224/artofproblems-20 Non-Euclidean Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].<br />
<br />
<br />
<br />
=== Inequalities ===<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856034/artofproblems-20 Introduction to Inequalities]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856042/artofproblems-20 Geometric Inequalities]<br />
<br />
==== Olympiad ==== <br />
* [http://www.amazon.com/exec/obidos/ASIN/052154677X/artofproblems-20 The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities] by J. Michael Steele.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel contains significant material on inequalities.<br />
*Titu Andreescu's Book on Geometric Maxima and Minima<br />
* [http://ultrametric.googlepages.com/tin2007.pdf Topics in Inequalities] by Hojoo Lee<br />
* [http://www.artofproblemsolving.com/Resources/Papers/MildorfInequalities.pdf Olympiad Inequalities] by Thomas Mildorf<br />
* [http://www.artofproblemsolving.com/Resources/Papers/KedlayaInequalities.pdf A<B (A is less than B)] by Kiran S. Kedlaya<br />
* [http://can-hang2007.blogspot.com/2009/12/secrets-in-inequalities-volume-1-basic.html Secrets in Inequalities vol 1 and 2] by Pham Kim Hung<br />
<br />
==== Collegiate ====<br />
<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521358809/artofproblems-20 Inequalities] by [[G. H. Hardy]], [[J. E. Littlewood]], and [[G. Polya]].<br />
<br />
<br />
<br />
=== Number Theory ===<br />
==== Introductory ====<br />
* The AoPS [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:nt Introduction to Number Theory] by [[Mathew Crawford]].<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/081763245X/artofproblems-20 Number Theory: A Problem-Solving Approach] by [[Titu Andreescu]] and Dorin Andrica.<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bbs_sr_1?ie=UTF8&s=books&qid=1199806669&sr=8-1 104 Number Theory Problems from the Training of the USA IMO Team] by [[Titu Andreescu]], Dorin Andrica and Zuming Feng.<br />
* [http://www.problem-solving.be/pen/published/pen-20070711.pdf Problems in Elementary Number Theory] by Hojoo Lee.<br />
<br />
<br />
=== Trigonometry ===<br />
==== Getting Started ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817639144/artofproblems-20 Trigonometry] by I.M. Gelfand and Mark Saul.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817639144/artofproblems-20 Trigonometry] by I.M. Gelfand and Mark Saul.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643346/artofproblems-20 103 Trigonometry Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643346/artofproblems-20 103 Trigonometry Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
<br />
<br />
=== Problem Solving ===<br />
==== Getting Started ====<br />
* the [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=1 Art of Problem Solving Volume 1] by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 7-9.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0821804308/artofproblems-20 Mathematical Circles] -- A wonderful peak into Russian math training.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486613488/artofproblems-20 100 Great Problems of Elementary Mathematics] by Heinrich Dorrie.<br />
<br />
==== Intermediate ====<br />
* the [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=2 Art of Problem Solving Volume 2] by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 9-12.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0471135712/artofproblems-20 The Art and Craft of Problem Solving] by [[Paul Zeitz]], former coach of the U.S. math team.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0691023565/artofproblems-20 How to Solve It] by [[George Polya]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/1895997046/artofproblems-20 A Mathematical Mosaic] by [[Putnam Fellow]] [[Ravi Vakil]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words], [http://www.amazon.com/exec/obidos/ASIN/0883857219/artofproblems-20 Proofs Without Words II]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486425665/artofproblems-20 Sequences, Combinations, Limits]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486613488/artofproblems-20 100 Great Problems of Elementary Mathematics] by Heinrich Dorrie.<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson.<br />
<br />
== General interest ==<br />
* [http://www.amazon.com/exec/obidos/ASIN/0385495323/artofproblems-20 The Code Book] by Simon Singh.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0618251413/artofproblems-20 Count Down] by Steve Olson.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0385493622/artofproblems-20 Fermat's Enigma] by Simon Singh.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0465026567/artofproblems-20 Godel, Escher, Bach]<br />
* [http://www.amazon.com/exec/obidos/ASIN/014014739X/artofproblems-20 Journey Through Genius] by William Dunham.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521427061/artofproblems-20 A Mathematician's Apology] by [[G. H. Hardy]]. <br />
* [http://www.amazon.com/exec/obidos/ASIN/0066210704/artofproblems-20 The Music of the Primes] by Marcus du Sautoy.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words] by Roger B. Nelsen. <br />
* [http://www.amazon.com/exec/obidos/ASIN/0195105192/artofproblems-20 What is Mathematics?]by Richard Courant, Herbert Robbins and Ian Stewart.<br />
<br />
== Math Contest Problem Books ==<br />
=== Elementary School ===<br />
* [[Mathematical Olympiads for Elementary and Middle Schools]] ([[MOEMS]]) publishes [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MOEMS.php two excellent contest problem books].<br />
<br />
<br />
<br />
=== Getting Started ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MC.php MATHCOUNTS books] -- Practice problems at all levels from the [[MATHCOUNTS]] competition.<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_AMC.php Contest Problem Books] from the [[AMC]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521585686/artofproblems-20 More Mathematical Challenges] by Tony Gardiner. Over 150 problems from the [[UK Junior Mathematical Olympiad]], for students ages 11-15.<br />
<br />
<br />
=== Intermediate ===<br />
* The [[Mandelbrot Competition]] has [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Mand.php two problem books for sale] at [[AoPS]].<br />
* ARML books:<br />
**[http://www.amazon.com/exec/obidos/ASIN/0962640166/artofproblems-20 ARML-NYSML 1989-1994] (see [[ARML]]).<br />
** [http://www.arml.com/books.htm ARML 1995-2004]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855194/artofproblems-20 Five Hundred Mathematical Challenges] -- An excellent collection of problems (with solutions).<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486277097/artofproblems-20 The USSR Problem Book]<br />
*Leningrad Olympiads (Published by MathProPress.com)<br />
<br />
=== Olympiad ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=50 USAMO 1972-1986] -- Problems from the [[United States of America Mathematical Olympiad]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387242996/artofproblems-20 The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856441/artofproblems-20 Hungarian Problem Book III]<br />
* [http://www.amazon.com/exec/obidos/ASIN/088385645X/artofproblems-20 Mathematical Miniatures]<br />
*Mathematical Olympiad Treasures<br />
*Collections of Olympiads (APMO, China, USSR to name the harder ones) published by MathProPress.com.<br />
<br />
=== Collegiate ===<br />
* Three [[Putnam competition]] books are [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Putnam.php available at AoPS].<br />
<br />
== See also ==<br />
* [[Math textbooks]]<br />
* [[Resources for mathematics competitions]]<br />
* [[Olympiad Books]]<br />
[[Category:Books]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Math_books&diff=95240Math books2018-06-17T23:25:10Z<p>Masterproblemsolver123: /* Math contest problem books */</p>
<hr />
<div>These '''Math books''' are recommended by [[Art of Problem Solving]] administrators and members of the [http://aops.com/community AoPS Community].<br />
<br />
Levels of reading and math ability are loosely defined as follows:<br />
* Elementary is for elementary school students up through possibly early middle school.<br />
* Getting Started is recommended for students grades who are participating in contests like AMC 8/10 and Mathcounts.<br />
* Intermediate is recommended for students who can expect to pass the AMC 10/12.<br />
* Olympiad is recommended for high school students who are already studying math at an undergraduate level.<br />
* Collegiate is recommended for college and university students.<br />
<br />
More advanced topics are often left with the above levels unassigned.<br />
<br />
Before adding any books to this page, please review the [[AoPSWiki:Linking books]] page.<br />
<br />
<br />
== Books By Subject ==<br />
=== Algebra ===<br />
====Getting Started====<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s, [[David Patrick]]'s, and [[Ravi Boppana]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=prealgebra Prealgebra] textbook, which is recommended for advanced elementary and middle school students.<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:algebra Introduction to Algebra] textbook, which is recommended for advanced elementary, middle, and high school students.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817636773/artofproblems-20 Algebra] by I.M. Gelfand and Alexander Shen.<br />
* [http://www.amazon.com/Problems-Algebra-Training-Team-Enrichment/dp/187642012X/ref=sr_1_2?ie=UTF8&s=books&qid=1204029534&sr=8-2 101 Problems in Algebra from the Training of the US IMO Team] by Titu Andreescu and Zuming Feng<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s and [[Mathew Crawford]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:algebra Intermediate Algebra] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?ie=UTF8&s=books&qid=1204029652&sr=1-1 Complex Numbers from A to... Z] by [[Titu Andreescu]]<br />
<br />
=== Analysis ===<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486428753/artofproblems-20 Counterexamples in Analysis] by Bernard R. Gelbaum and John M. H. Olmsted.<br />
<br />
<br />
=== Calculus ===<br />
==== High School ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=calculus Calculus] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0914098896/artofproblems-20 Calculus] by [[Michael Spivak]]. Top students swear by this book.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883858126/artofproblems-20 The Hitchhiker's Guide to Calculus] by [[Michael Spivak]].<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=8 AP Calculus Problems and Solutions Part II AB and BC] -- A fantastic resource for students mastering the material required for the AP exam.<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0805390219/artofproblems-20 Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus] by [[Michael Spivak]].<br />
<br />
<br />
=== Combinatorics ===<br />
==== Getting Started ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:counting Introduction to Counting & Probability] textbook, which is recommended for advanced middle and high school students.<br />
<br />
==== Intermediate ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:counting Intermediate Counting & Probability] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856158/artofproblems-20 Mathematics of Choice] by Ivan Niven.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
* [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/0817642889/ref=sr_1_2?ie=UTF8&s=books&qid=1219586040&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
* [http://www.math.upenn.edu/~wilf/DownldGF.html Generatingfunctionology]<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521663512/artofproblems-20 Enumerative Combinatorics, Volume 1] by Richard Stanley.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521789877/artofproblems-20 Enumerative Combinatorics, Volume 2] by Richard Stanley.<br />
* [http://www.amazon.com/First-Course-Probability-Sheldon-Ross/dp/0131856626/ref=pd_bbs_sr_1/103-7161656-8805468?ie=UTF8&s=books&qid=1190719501&sr=8-1 A First Course in Probability] by Sheldon Ross<br />
<br />
<br />
<br />
=== Geometry ===<br />
==== Getting Started ====<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry Introduction to Geometry] textbook, which is recommended for advanced middle and high school students.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486691543/artofproblems-20 Challenging Problems in Geometry] -- A good book for students who already have a solid handle on elementary geometry.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.<br />
*[http://www.amazon.com/Geometry-Problems-AwesomeMath-Summer-Program/dp/0979926947 106 Geometry Problems from the AwesomeMath Summer Program] by Titu Andreescu, Michal Rolinek, and Josef Tkadlec<br />
<br />
==== Olympiad ====<br />
* [https://www.amazon.com/gp/product/0883858398?%2AVersion%2A=1&%2Aentries%2A=0&pldnSite=1 Euclidean Geometry in Mathematical Olympiads] by Evan Chen<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855224/artofproblems-20 Non-Euclidean Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/Geometric-Transformations-I-Number-8/dp/0883856085/ref=sr_1_6?ie=UTF8&s=books&qid=1199807141&sr=1-6 Geometric Transformations I], [http://www.amazon.com/Geometric-Transformations-New-Mathematical-Library/dp/0883856212/ref=sr_1_5?ie=UTF8&s=books&qid=1199807203&sr=1-5 Geometric Transformations II], and [http://www.amazon.com/Geometric-Transformations-III-Mathematical-Library/dp/0883856247/ref=sr_1_1?ie=UTF8&s=books&qid=1199807249&sr=1-1 Geometric Transformations III] by I. M. Yaglom.<br />
*[http://www.amazon.com/Geometry-Problems-Awesomemath-Year-Round-Program/dp/0979926971/ref=sr_1_1?s=books&ie=UTF8&qid=1433093202&sr=1-1&keywords=107+geometry+problems 107 Geometry Problems from the AwesomeMath Year-Round Program] Titu Andreescu, Michal Rolinek, and Josef Tkadlec<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855224/artofproblems-20 Non-Euclidean Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].<br />
<br />
<br />
<br />
=== Inequalities ===<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856034/artofproblems-20 Introduction to Inequalities]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856042/artofproblems-20 Geometric Inequalities]<br />
<br />
==== Olympiad ==== <br />
* [http://www.amazon.com/exec/obidos/ASIN/052154677X/artofproblems-20 The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities] by J. Michael Steele.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel contains significant material on inequalities.<br />
*Titu Andreescu's Book on Geometric Maxima and Minima<br />
* [http://ultrametric.googlepages.com/tin2007.pdf Topics in Inequalities] by Hojoo Lee<br />
* [http://www.artofproblemsolving.com/Resources/Papers/MildorfInequalities.pdf Olympiad Inequalities] by Thomas Mildorf<br />
* [http://www.artofproblemsolving.com/Resources/Papers/KedlayaInequalities.pdf A<B (A is less than B)] by Kiran S. Kedlaya<br />
* [http://can-hang2007.blogspot.com/2009/12/secrets-in-inequalities-volume-1-basic.html Secrets in Inequalities vol 1 and 2] by Pham Kim Hung<br />
<br />
==== Collegiate ====<br />
<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521358809/artofproblems-20 Inequalities] by [[G. H. Hardy]], [[J. E. Littlewood]], and [[G. Polya]].<br />
<br />
<br />
<br />
=== Number Theory ===<br />
==== Introductory ====<br />
* The AoPS [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:nt Introduction to Number Theory] by [[Mathew Crawford]].<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/081763245X/artofproblems-20 Number Theory: A Problem-Solving Approach] by [[Titu Andreescu]] and Dorin Andrica.<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bbs_sr_1?ie=UTF8&s=books&qid=1199806669&sr=8-1 104 Number Theory Problems from the Training of the USA IMO Team] by [[Titu Andreescu]], Dorin Andrica and Zuming Feng.<br />
* [http://www.problem-solving.be/pen/published/pen-20070711.pdf Problems in Elementary Number Theory] by Hojoo Lee.<br />
<br />
<br />
=== Trigonometry ===<br />
==== Getting Started ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817639144/artofproblems-20 Trigonometry] by I.M. Gelfand and Mark Saul.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817639144/artofproblems-20 Trigonometry] by I.M. Gelfand and Mark Saul.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643346/artofproblems-20 103 Trigonometry Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643346/artofproblems-20 103 Trigonometry Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
<br />
<br />
=== Problem Solving ===<br />
==== Getting Started ====<br />
* the [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=1 Art of Problem Solving Volume 1] by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 7-9.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0821804308/artofproblems-20 Mathematical Circles] -- A wonderful peak into Russian math training.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486613488/artofproblems-20 100 Great Problems of Elementary Mathematics] by Heinrich Dorrie.<br />
<br />
==== Intermediate ====<br />
* the [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=2 Art of Problem Solving Volume 2] by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 9-12.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0471135712/artofproblems-20 The Art and Craft of Problem Solving] by [[Paul Zeitz]], former coach of the U.S. math team.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0691023565/artofproblems-20 How to Solve It] by [[George Polya]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/1895997046/artofproblems-20 A Mathematical Mosaic] by [[Putnam Fellow]] [[Ravi Vakil]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words], [http://www.amazon.com/exec/obidos/ASIN/0883857219/artofproblems-20 Proofs Without Words II]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486425665/artofproblems-20 Sequences, Combinations, Limits]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486613488/artofproblems-20 100 Great Problems of Elementary Mathematics] by Heinrich Dorrie.<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson.<br />
<br />
== General interest ==<br />
* [http://www.amazon.com/exec/obidos/ASIN/0385495323/artofproblems-20 The Code Book] by Simon Singh.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0618251413/artofproblems-20 Count Down] by Steve Olson.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0385493622/artofproblems-20 Fermat's Enigma] by Simon Singh.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0465026567/artofproblems-20 Godel, Escher, Bach]<br />
* [http://www.amazon.com/exec/obidos/ASIN/014014739X/artofproblems-20 Journey Through Genius] by William Dunham.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521427061/artofproblems-20 A Mathematician's Apology] by [[G. H. Hardy]]. <br />
* [http://www.amazon.com/exec/obidos/ASIN/0066210704/artofproblems-20 The Music of the Primes] by Marcus du Sautoy.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words] by Roger B. Nelsen. <br />
* [http://www.amazon.com/exec/obidos/ASIN/0195105192/artofproblems-20 What is Mathematics?]by Richard Courant, Herbert Robbins and Ian Stewart.<br />
<br />
== Math Contest Problem Books ==<br />
=== Elementary School ===<br />
* [[Mathematical Olympiads for Elementary and Middle Schools]] ([[MOEMS]]) publishes [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MOEMS.php two excellent contest problem books].<br />
<br />
<br />
<br />
=== Getting Started ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MC.php MathCounts books] -- Practice problems at all levels from the [[MathCounts]] competition.<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_AMC.php Contest Problem Books] from the [[AMC]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521585686/artofproblems-20 More Mathematical Challenges] by Tony Gardiner. Over 150 problems from the [[UK Junior Mathematical Olympiad]], for students ages 11-15.<br />
<br />
<br />
=== Intermediate ===<br />
* The [[Mandelbrot Competition]] has [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Mand.php two problem books for sale] at [[AoPS]].<br />
* ARML books:<br />
**[http://www.amazon.com/exec/obidos/ASIN/0962640166/artofproblems-20 ARML-NYSML 1989-1994] (see [[ARML]]).<br />
** [http://www.arml.com/books.htm ARML 1995-2004]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855194/artofproblems-20 Five Hundred Mathematical Challenges] -- An excellent collection of problems (with solutions).<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486277097/artofproblems-20 The USSR Problem Book]<br />
*Leningrad Olympiads (Published by MathProPress.com)<br />
<br />
=== Olympiad ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=50 USAMO 1972-1986] -- Problems from the [[United States of America Mathematical Olympiad]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387242996/artofproblems-20 The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856441/artofproblems-20 Hungarian Problem Book III]<br />
* [http://www.amazon.com/exec/obidos/ASIN/088385645X/artofproblems-20 Mathematical Miniatures]<br />
*Mathematical Olympiad Treasures<br />
*Collections of Olympiads (APMO, China, USSR to name the harder ones) published by MathProPress.com.<br />
<br />
=== Collegiate ===<br />
* Three [[Putnam competition]] books are [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Putnam.php available at AoPS].<br />
<br />
== See also ==<br />
* [[Math textbooks]]<br />
* [[Resources for mathematics competitions]]<br />
* [[Olympiad Books]]<br />
[[Category:Books]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Math_books&diff=95239Math books2018-06-17T23:24:32Z<p>Masterproblemsolver123: /* Books by subject */</p>
<hr />
<div>These '''Math books''' are recommended by [[Art of Problem Solving]] administrators and members of the [http://aops.com/community AoPS Community].<br />
<br />
Levels of reading and math ability are loosely defined as follows:<br />
* Elementary is for elementary school students up through possibly early middle school.<br />
* Getting Started is recommended for students grades who are participating in contests like AMC 8/10 and Mathcounts.<br />
* Intermediate is recommended for students who can expect to pass the AMC 10/12.<br />
* Olympiad is recommended for high school students who are already studying math at an undergraduate level.<br />
* Collegiate is recommended for college and university students.<br />
<br />
More advanced topics are often left with the above levels unassigned.<br />
<br />
Before adding any books to this page, please review the [[AoPSWiki:Linking books]] page.<br />
<br />
<br />
== Books By Subject ==<br />
=== Algebra ===<br />
====Getting Started====<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s, [[David Patrick]]'s, and [[Ravi Boppana]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=prealgebra Prealgebra] textbook, which is recommended for advanced elementary and middle school students.<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:algebra Introduction to Algebra] textbook, which is recommended for advanced elementary, middle, and high school students.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817636773/artofproblems-20 Algebra] by I.M. Gelfand and Alexander Shen.<br />
* [http://www.amazon.com/Problems-Algebra-Training-Team-Enrichment/dp/187642012X/ref=sr_1_2?ie=UTF8&s=books&qid=1204029534&sr=8-2 101 Problems in Algebra from the Training of the US IMO Team] by Titu Andreescu and Zuming Feng<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s and [[Mathew Crawford]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:algebra Intermediate Algebra] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?ie=UTF8&s=books&qid=1204029652&sr=1-1 Complex Numbers from A to... Z] by [[Titu Andreescu]]<br />
<br />
=== Analysis ===<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486428753/artofproblems-20 Counterexamples in Analysis] by Bernard R. Gelbaum and John M. H. Olmsted.<br />
<br />
<br />
=== Calculus ===<br />
==== High School ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=calculus Calculus] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0914098896/artofproblems-20 Calculus] by [[Michael Spivak]]. Top students swear by this book.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883858126/artofproblems-20 The Hitchhiker's Guide to Calculus] by [[Michael Spivak]].<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=8 AP Calculus Problems and Solutions Part II AB and BC] -- A fantastic resource for students mastering the material required for the AP exam.<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0805390219/artofproblems-20 Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus] by [[Michael Spivak]].<br />
<br />
<br />
=== Combinatorics ===<br />
==== Getting Started ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:counting Introduction to Counting & Probability] textbook, which is recommended for advanced middle and high school students.<br />
<br />
==== Intermediate ====<br />
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:counting Intermediate Counting & Probability] textbook, which is recommended for advanced middle and high school students.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856158/artofproblems-20 Mathematics of Choice] by Ivan Niven.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
* [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/0817642889/ref=sr_1_2?ie=UTF8&s=books&qid=1219586040&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
* [http://www.math.upenn.edu/~wilf/DownldGF.html Generatingfunctionology]<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521663512/artofproblems-20 Enumerative Combinatorics, Volume 1] by Richard Stanley.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521789877/artofproblems-20 Enumerative Combinatorics, Volume 2] by Richard Stanley.<br />
* [http://www.amazon.com/First-Course-Probability-Sheldon-Ross/dp/0131856626/ref=pd_bbs_sr_1/103-7161656-8805468?ie=UTF8&s=books&qid=1190719501&sr=8-1 A First Course in Probability] by Sheldon Ross<br />
<br />
<br />
<br />
=== Geometry ===<br />
==== Getting Started ====<br />
* [[AoPS]] publishes [[Richard Rusczyk]]'s [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry Introduction to Geometry] textbook, which is recommended for advanced middle and high school students.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486691543/artofproblems-20 Challenging Problems in Geometry] -- A good book for students who already have a solid handle on elementary geometry.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.<br />
*[http://www.amazon.com/Geometry-Problems-AwesomeMath-Summer-Program/dp/0979926947 106 Geometry Problems from the AwesomeMath Summer Program] by Titu Andreescu, Michal Rolinek, and Josef Tkadlec<br />
<br />
==== Olympiad ====<br />
* [https://www.amazon.com/gp/product/0883858398?%2AVersion%2A=1&%2Aentries%2A=0&pldnSite=1 Euclidean Geometry in Mathematical Olympiads] by Evan Chen<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855224/artofproblems-20 Non-Euclidean Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/Geometric-Transformations-I-Number-8/dp/0883856085/ref=sr_1_6?ie=UTF8&s=books&qid=1199807141&sr=1-6 Geometric Transformations I], [http://www.amazon.com/Geometric-Transformations-New-Mathematical-Library/dp/0883856212/ref=sr_1_5?ie=UTF8&s=books&qid=1199807203&sr=1-5 Geometric Transformations II], and [http://www.amazon.com/Geometric-Transformations-III-Mathematical-Library/dp/0883856247/ref=sr_1_1?ie=UTF8&s=books&qid=1199807249&sr=1-1 Geometric Transformations III] by I. M. Yaglom.<br />
*[http://www.amazon.com/Geometry-Problems-Awesomemath-Year-Round-Program/dp/0979926971/ref=sr_1_1?s=books&ie=UTF8&qid=1433093202&sr=1-1&keywords=107+geometry+problems 107 Geometry Problems from the AwesomeMath Year-Round Program] Titu Andreescu, Michal Rolinek, and Josef Tkadlec<br />
<br />
==== Collegiate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855224/artofproblems-20 Non-Euclidean Geometry] by [[H.S.M. Coxeter]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].<br />
<br />
<br />
<br />
=== Inequalities ===<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856034/artofproblems-20 Introduction to Inequalities]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856042/artofproblems-20 Geometric Inequalities]<br />
<br />
==== Olympiad ==== <br />
* [http://www.amazon.com/exec/obidos/ASIN/052154677X/artofproblems-20 The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities] by J. Michael Steele.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel contains significant material on inequalities.<br />
*Titu Andreescu's Book on Geometric Maxima and Minima<br />
* [http://ultrametric.googlepages.com/tin2007.pdf Topics in Inequalities] by Hojoo Lee<br />
* [http://www.artofproblemsolving.com/Resources/Papers/MildorfInequalities.pdf Olympiad Inequalities] by Thomas Mildorf<br />
* [http://www.artofproblemsolving.com/Resources/Papers/KedlayaInequalities.pdf A<B (A is less than B)] by Kiran S. Kedlaya<br />
* [http://can-hang2007.blogspot.com/2009/12/secrets-in-inequalities-volume-1-basic.html Secrets in Inequalities vol 1 and 2] by Pham Kim Hung<br />
<br />
==== Collegiate ====<br />
<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521358809/artofproblems-20 Inequalities] by [[G. H. Hardy]], [[J. E. Littlewood]], and [[G. Polya]].<br />
<br />
<br />
<br />
=== Number Theory ===<br />
==== Introductory ====<br />
* The AoPS [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:nt Introduction to Number Theory] by [[Mathew Crawford]].<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/081763245X/artofproblems-20 Number Theory: A Problem-Solving Approach] by [[Titu Andreescu]] and Dorin Andrica.<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bbs_sr_1?ie=UTF8&s=books&qid=1199806669&sr=8-1 104 Number Theory Problems from the Training of the USA IMO Team] by [[Titu Andreescu]], Dorin Andrica and Zuming Feng.<br />
* [http://www.problem-solving.be/pen/published/pen-20070711.pdf Problems in Elementary Number Theory] by Hojoo Lee.<br />
<br />
<br />
=== Trigonometry ===<br />
==== Getting Started ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817639144/artofproblems-20 Trigonometry] by I.M. Gelfand and Mark Saul.<br />
<br />
==== Intermediate ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817639144/artofproblems-20 Trigonometry] by I.M. Gelfand and Mark Saul.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643346/artofproblems-20 103 Trigonometry Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817643346/artofproblems-20 103 Trigonometry Problems] by [[Titu Andreescu]] and [[Zuming Feng]].<br />
<br />
<br />
<br />
=== Problem Solving ===<br />
==== Getting Started ====<br />
* the [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=1 Art of Problem Solving Volume 1] by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 7-9.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0821804308/artofproblems-20 Mathematical Circles] -- A wonderful peak into Russian math training.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486613488/artofproblems-20 100 Great Problems of Elementary Mathematics] by Heinrich Dorrie.<br />
<br />
==== Intermediate ====<br />
* the [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=2 Art of Problem Solving Volume 2] by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 9-12.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0471135712/artofproblems-20 The Art and Craft of Problem Solving] by [[Paul Zeitz]], former coach of the U.S. math team.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0691023565/artofproblems-20 How to Solve It] by [[George Polya]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/1895997046/artofproblems-20 A Mathematical Mosaic] by [[Putnam Fellow]] [[Ravi Vakil]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words], [http://www.amazon.com/exec/obidos/ASIN/0883857219/artofproblems-20 Proofs Without Words II]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486425665/artofproblems-20 Sequences, Combinations, Limits]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486613488/artofproblems-20 100 Great Problems of Elementary Mathematics] by Heinrich Dorrie.<br />
<br />
==== Olympiad ====<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson.<br />
<br />
== General interest ==<br />
* [http://www.amazon.com/exec/obidos/ASIN/0385495323/artofproblems-20 The Code Book] by Simon Singh.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0618251413/artofproblems-20 Count Down] by Steve Olson.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0385493622/artofproblems-20 Fermat's Enigma] by Simon Singh.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0465026567/artofproblems-20 Godel, Escher, Bach]<br />
* [http://www.amazon.com/exec/obidos/ASIN/014014739X/artofproblems-20 Journey Through Genius] by William Dunham.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521427061/artofproblems-20 A Mathematician's Apology] by [[G. H. Hardy]]. <br />
* [http://www.amazon.com/exec/obidos/ASIN/0066210704/artofproblems-20 The Music of the Primes] by Marcus du Sautoy.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words] by Roger B. Nelsen. <br />
* [http://www.amazon.com/exec/obidos/ASIN/0195105192/artofproblems-20 What is Mathematics?]by Richard Courant, Herbert Robbins and Ian Stewart.<br />
<br />
== Math contest problem books ==<br />
=== Elementary School ===<br />
* [[Mathematical Olympiads for Elementary and Middle Schools]] ([[MOEMS]]) publishes [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MOEMS.php two excellent contest problem books].<br />
<br />
<br />
<br />
=== Getting Started ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MC.php MathCounts books] -- Practice problems at all levels from the [[MathCounts]] competition.<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_AMC.php Contest Problem Books] from the [[AMC]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0521585686/artofproblems-20 More Mathematical Challenges] by Tony Gardiner. Over 150 problems from the [[UK Junior Mathematical Olympiad]], for students ages 11-15.<br />
<br />
<br />
=== Intermediate ===<br />
* The [[Mandelbrot Competition]] has [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Mand.php two problem books for sale] at [[AoPS]].<br />
* ARML books:<br />
**[http://www.amazon.com/exec/obidos/ASIN/0962640166/artofproblems-20 ARML-NYSML 1989-1994] (see [[ARML]]).<br />
** [http://www.arml.com/books.htm ARML 1995-2004]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883855194/artofproblems-20 Five Hundred Mathematical Challenges] -- An excellent collection of problems (with solutions).<br />
* [http://www.amazon.com/exec/obidos/ASIN/0486277097/artofproblems-20 The USSR Problem Book]<br />
*Leningrad Olympiads (Published by MathProPress.com)<br />
<br />
=== Olympiad ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=50 USAMO 1972-1986] -- Problems from the [[United States of America Mathematical Olympiad]].<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387242996/artofproblems-20 The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges]<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson.<br />
* [http://www.amazon.com/exec/obidos/ASIN/0883856441/artofproblems-20 Hungarian Problem Book III]<br />
* [http://www.amazon.com/exec/obidos/ASIN/088385645X/artofproblems-20 Mathematical Miniatures]<br />
*Mathematical Olympiad Treasures<br />
*Collections of Olympiads (APMO, China, USSR to name the harder ones) published by MathProPress.com.<br />
<br />
=== Collegiate ===<br />
* Three [[Putnam competition]] books are [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Putnam.php available at AoPS].<br />
<br />
<br />
== See also ==<br />
* [[Math textbooks]]<br />
* [[Resources for mathematics competitions]]<br />
* [[Olympiad Books]]<br />
[[Category:Books]]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Resources_for_mathematics_competitions&diff=95238Resources for mathematics competitions2018-06-17T23:22:09Z<p>Masterproblemsolver123: /* Math competition problems */</p>
<hr />
<div>The [[Art of Problem Solving]] hosts this [[AoPSWiki]] as well as many other online resources for students interested in [[mathematics competitions]]. Look around the AoPSWiki. Individual articles often have sample problems and solutions for many levels of problem solvers. Many also have links to books, websites, and other resources relevant to the topic.<br />
<br />
* [[Math books]]<br />
* [[Mathematics forums]]<br />
* [[Mathematics websites]]<br />
<br />
<br />
== Math Competition Classes ==<br />
* [[Art of Problem Solving]] hosts classes that are popular among many of the highest performing students in the United States. [http://www.artofproblemsolving.com/Classes/AoPS_C_PSeries.php AoPS Problem Series].<br />
* [[EPGY]] hosts classes for [[AMC]] students.<br />
<br />
== Math Competition Problems ==<br />
=== Problem books ===<br />
Many mathematics competitions sell books of past competitions and solutions. These books can be great supplementary material for avid students of mathematics.<br />
* [[ARML]] has four problem books covering most ARML as well as some [[NYSML]] competitions. However, they are generally difficult to find. Some can be ordered [http://www.arml.com/books.htm here].<br />
* [[MOEMS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[MathCounts]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[AMC]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[Mandelbrot Competition]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
<br />
=== Problems online ===<br />
[[Art of Problem Solving]] maintains a very large database of [http://www.artofproblemsolving.com/Forum/resources.php math contest problems]. Many math contest websites include archives of past problems. The [[List of mathematics competitions]] leads to links for many of these competition homepages. Here are a few examples:<br />
==== Introductory Problem Solvers ====<br />
* [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems].<br />
* Noetic Learning [http://www.noetic-learning.com/gifted/index.jsp Challenge Math] - Problem Solving for the Gifted Elementary Students .<br />
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page].<br />
* [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage].<br />
* The [[South African Mathematics Olympiad]] [http://www.samf.ac.za/QuestionPapers.aspx here] includes many years of past problems with solutions.<br />
* [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8<br />
<br />
==== Intermediate Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at [https://mks.mff.cuni.cz/kalva/ this page])<br />
* Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [http://www.uccs.edu/%7Easoifer/olympiad.html CMO homepage].<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels.<br />
*[https://www.clevermath.org/ Clevermath] Is similar to above<br />
<br />
==== Olympiad Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline - but a few mirrors are available, e.g [https://mks.mff.cuni.cz/kalva/ here].)<br />
* [http://www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions.<br />
* [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society].<br />
* [http://web.archive.org/web/20120825124642/http://pertselv.tripod.com/RusMath.html Problems of the All-Soviet-Union math competitions 1961-1986] - Many problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [http://web.archive.org/web/20091027032345/http://geocities.com/CapeCanaveral/Lab/4661/ Olympiad Math Madness] - Stacks of challenging problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
<br />
== Articles ==<br />
<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Contests.php Pros and Cons and Math Competitions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/articles/culture Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill.<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Mistakes.php Stop Making Stupid Mistakes] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Questions.php Stupid Questions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Teaching.php Learning Through Teaching]<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php How to Write a Solution] by [[Richard Rusczyk]] and [[user:MCrawford | Mathew Crawford]].<br />
<br />
== A Huge List of Links ==<br />
=== AoPS Course Recommendations ===<br />
*[http://www.artofproblemsolving.com/School/recommendations.php: Art of Problem Solving Course Recommendations]<br />
*Do you still have trouble deciding which course? [http://www.artofproblemsolving.com/Store/personalrec.php Ask for personal recommendations!]<br />
<br />
===AMC 8 Preparation===<br />
====Problems====<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42 AMC 8 Problems in the Resources Section]<br />
<br />
Problem and Solutions: [http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki]<br />
<br />
===AMC 10/12 Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=388108&hilit=preparation How preparing for the AIME will help AMC 10/12 Score] <br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396741&hilit=preparation What class to take?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=387918&hilit=preparation AMC 10 for AMC 12 practice]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385418&hilit=preparation AMC prep]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384828&hilit=preparation AMC 10/12 Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384747&hilit=preparation AIME/AMC 10 Overlap and Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=378851&hilit=preparation How to prepare for amc10 and aime?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=369849&hilit=preparation Preparation for AMC 10?]<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_10_Problems_and_Solutions AMC 10 Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki]<br />
<br />
===AIME Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397954&hilit=preparation Studying to qualify for USAMO]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=400442&hilit=preparation How to prepare for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399160&hilit=preparation Preparation for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=357602&hilit=preparation Using non-AIME questions to prepare for AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=355918&hilit=preparation Best books to prepare for AIME?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344816&hilit=preparation How to improve AIME score to make JMO?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=341827&hilit=preparation Preparation for AIME and USAMO]<br />
<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki]<br />
<br />
[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems by sorted by difficulty]<br />
<br />
===Beginning Olympiad Preparation===<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation How to Prepare for USAJMO?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep]<br />
<br />
====Bunch of General links====<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep Usamo prep ]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep Counting down to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep USAJMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep USAJMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep How to prepare for the USAMO/Making Red MOP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep Preparing in a hardcore way]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep USAMO and JMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep USAMO PREP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep Beginner to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454 What should I be doing?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep Improve to USAMO and IMO level]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep Prep for USA(J)MO]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654 contest math stuff/some advice on how to get good]'''<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845 Olympiad Prep]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622 Olympiad Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h619416p3697136 USAJMO Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h520900 The Right Training]'''<br />
* '''[https://usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests/ What Leads to Success]'''<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176 USAJMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAJMO_Problems_and_Solutions USAJMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
<br />
===Middle/Advanced Olympiad Preparation===<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38804 Practice Olympiad 2]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38805 Practice Olympiad 3]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] <br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki]<br />
<br />
===Book Links:===<br />
====Olympiad Level====<br />
=====Free=====<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvejlpenRmZGh6SDQ/view?usp=sharing Lemmas in Olympiad Geometry article]<br />
* [http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry]<br />
<br />
=====Not Free=====<br />
* [http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1 Plane Euclidean Geometry: Theory and Problems]<br />
* [http://www.amazon.com/Complex-Geometry-Mathematical-Association-Textbooks/dp/0883855100/ref=sr_1_1?s=books&ie=UTF8&qid=1338742131&sr=1-1 Complex Numbers and Geometry]<br />
* [http://www.amazon.com/Geometry-Complex-Numbers-Dover-Mathematics/dp/0486638308/ref=sr_1_1?s=books&ie=UTF8&qid=1338742156&sr=1-1 Geometry of Complex Numbers]<br />
* [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?s=books&ie=UTF8&qid=1338741912&sr=1-1 Complex Numbers from A to …Z]<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=sr_1_1?s=books&ie=UTF8&qid=1338742048&sr=1-1 103 Trigonometry Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/An-Introduction-Diophantine-Equations-Problem-Based/dp/0817645489/ref=sr_1_1?ie=UTF8&qid=1338741533&sr=8-1 An Introduction to Diophantine Equations: A Problem-Based Approach]<br />
* [http://www.amazon.com/Introductions-Number-Theory-Inequalities-Bradley/dp/0953682382/ref=sr_1_1?s=books&ie=UTF8&qid=1338741653&sr=1-1 Introductions to Number Theory and Inequalities]<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=sr_1_1?s=books&ie=UTF8&qid=1338741697&sr=1-1 104 Number Theory Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/102-Combinatorial-Problems-Titu-Andreescu/dp/0817643176/ref=sr_1_1?s=books&ie=UTF8&qid=1338741741&sr=1-1 102 Combinatorial Problems]<br />
* [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/8181283368/ref=sr_1_2?s=books&ie=UTF8&qid=1338741874&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies]<br />
* [http://www.amazon.com/Mathematical-Olympiads-1972-1986-Problems-Solutions/dp/0883856344/ref=sr_1_fkmr1_1?s=books&ie=UTF8&qid=1338742228&sr=1-1 -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and Solutions]<br />
* [http://www.amazon.com/s/ref=nb_sb_noss_1?url=search-alias%3Daps&field-keywords=art+and+craft+of+problem+solving Art and Craft of Problem Solving]<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=sr_1_1?ie=UTF8&qid=1338865322&sr=8-1 Problem Solving Strategies]<br />
<br />
===Problem Sets===<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvS05vQ0N6aEVqSGs/view?usp=sharing Practice problems from around the world]<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvQkkwS0xsVVZ3Z1E/view?usp=sharing General problems in Olympiad Mathematics]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_44261211c725bfc07fe3a40698ce18b0 Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e3aaee2729d3d97d945b66e06971e5bc 100 Polynomial Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_afdd8bf4469c8aa0dd12406f9d246da1 Trigonometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82357_cfd6bc6cd06884730701121c0146d455 General all levels]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/85314_e1e907a6c92d64bea241ed35b6414d3a Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_c808a31bb53413a4d4c90426d66df645 Olympiad Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_b361f5fe3bb9b43c6d8a1b516e200bc6 33 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_fbc5d584d5949657f5b7db35d2548f4b Induction Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_c6b98fb00f3baca6fefb3978db3dda1d Induction Solutions]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/369_675af9219c63516a024366c1d8d28251 260 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_4872d512bdc737f3379ad265e17340d1 150 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_65dac7d2c6936fe666a991407da6cbeb 50 Diophantine Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_d8b71468d1bc454fb4ca732ed7950e19 60 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/62273_8f432f52f6a8b50ffab885999aacb652 116 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/47577_3609b09820bce0490302aca817405696 Algebraic Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f6f1d08183b32b889ee7d4315ef6f620 100 Combinatorics Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_55fffd4049ab2308ae770a143f03d7c1 100 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/16383_6600f91864a38bc31764efe5d8b69475 Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_946d6121c243f09232ea6c390236abfd Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_fd4595a2f0efac349561fae52fa49c2b General]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f0a58877b5326ff79aca7f091559d4e4 100 Number Theory Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_cc845a4f181a71ab84cf7af38b79018c 100 Functional Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_4dfa3fbf02e9fd55fcfa3ece6a1a1835 Beginning/Intermediate Counting and Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82334_ea1bd0c9afa7d8b36d4b7c9e53048d37 40 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/91148_d2614226d17974c7cae22fd6819e6a35 100 Geometric Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/139996_1ce94c21ab568094858ede6bdfbec235 10 Fun Unconventional Problems :)]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/118_a49397fc1e83d0931c0e72c9139d5a29 169 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_6df2379fee465fac760b788106151ed8 Triangle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a090e8492fc3b5e6c9f4ef72e8c25f53 Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_3b10e491c0ba9d6421f55aab84c24632 Algebra]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_cc6e30d39d41a700d293c1c36869ca6f Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_c06dc3f7dddb7efe22b5f9c0db0d3a49 Circle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a7c63b4b9529686a56abe8298ed1eaa4 Other Geometry]<br />
<br />
'''[http://www.artofproblemsolving.com/wiki/index.php/AoPSWiki:Competition_ratings Ranking of all Olympiads (Difficulty Level)]'''<br />
<br />
== See also ==<br />
<br />
* [[List of mathematics competitions]]<br />
* [[Mathematics scholarships]]<br />
* [[Science competitions]]<br />
* [[Informatics competitions]]<br />
* [http://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F How should I prepare]</div>Masterproblemsolver123https://artofproblemsolving.com/wiki/index.php?title=Resources_for_mathematics_competitions&diff=95237Resources for mathematics competitions2018-06-17T23:21:47Z<p>Masterproblemsolver123: /* Math competition classes */</p>
<hr />
<div>The [[Art of Problem Solving]] hosts this [[AoPSWiki]] as well as many other online resources for students interested in [[mathematics competitions]]. Look around the AoPSWiki. Individual articles often have sample problems and solutions for many levels of problem solvers. Many also have links to books, websites, and other resources relevant to the topic.<br />
<br />
* [[Math books]]<br />
* [[Mathematics forums]]<br />
* [[Mathematics websites]]<br />
<br />
<br />
== Math Competition Classes ==<br />
* [[Art of Problem Solving]] hosts classes that are popular among many of the highest performing students in the United States. [http://www.artofproblemsolving.com/Classes/AoPS_C_PSeries.php AoPS Problem Series].<br />
* [[EPGY]] hosts classes for [[AMC]] students.<br />
<br />
== Math competition problems ==<br />
=== Problem books ===<br />
Many mathematics competitions sell books of past competitions and solutions. These books can be great supplementary material for avid students of mathematics.<br />
* [[ARML]] has four problem books covering most ARML as well as some [[NYSML]] competitions. However, they are generally difficult to find. Some can be ordered [http://www.arml.com/books.htm here].<br />
* [[MOEMS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[MathCounts]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[AMC]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
* [[Mandelbrot Competition]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].<br />
<br />
=== Problems online ===<br />
[[Art of Problem Solving]] maintains a very large database of [http://www.artofproblemsolving.com/Forum/resources.php math contest problems]. Many math contest websites include archives of past problems. The [[List of mathematics competitions]] leads to links for many of these competition homepages. Here are a few examples:<br />
==== Introductory Problem Solvers ====<br />
* [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems].<br />
* Noetic Learning [http://www.noetic-learning.com/gifted/index.jsp Challenge Math] - Problem Solving for the Gifted Elementary Students .<br />
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page].<br />
* [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage].<br />
* The [[South African Mathematics Olympiad]] [http://www.samf.ac.za/QuestionPapers.aspx here] includes many years of past problems with solutions.<br />
* [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8<br />
<br />
==== Intermediate Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at [https://mks.mff.cuni.cz/kalva/ this page])<br />
* Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [http://www.uccs.edu/%7Easoifer/olympiad.html CMO homepage].<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels.<br />
*[https://www.clevermath.org/ Clevermath] Is similar to above<br />
<br />
==== Olympiad Problem Solvers ====<br />
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]<br />
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].<br />
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline - but a few mirrors are available, e.g [https://mks.mff.cuni.cz/kalva/ here].)<br />
* [http://www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions.<br />
* [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society].<br />
* [http://web.archive.org/web/20120825124642/http://pertselv.tripod.com/RusMath.html Problems of the All-Soviet-Union math competitions 1961-1986] - Many problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]<br />
* [http://web.archive.org/web/20091027032345/http://geocities.com/CapeCanaveral/Lab/4661/ Olympiad Math Madness] - Stacks of challenging problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]<br />
<br />
== Articles ==<br />
<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Contests.php Pros and Cons and Math Competitions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/articles/culture Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill.<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Mistakes.php Stop Making Stupid Mistakes] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Questions.php Stupid Questions] by [[Richard Rusczyk]].<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Teaching.php Learning Through Teaching]<br />
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php How to Write a Solution] by [[Richard Rusczyk]] and [[user:MCrawford | Mathew Crawford]].<br />
<br />
== A Huge List of Links ==<br />
=== AoPS Course Recommendations ===<br />
*[http://www.artofproblemsolving.com/School/recommendations.php: Art of Problem Solving Course Recommendations]<br />
*Do you still have trouble deciding which course? [http://www.artofproblemsolving.com/Store/personalrec.php Ask for personal recommendations!]<br />
<br />
===AMC 8 Preparation===<br />
====Problems====<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42 AMC 8 Problems in the Resources Section]<br />
<br />
Problem and Solutions: [http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki]<br />
<br />
===AMC 10/12 Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=388108&hilit=preparation How preparing for the AIME will help AMC 10/12 Score] <br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396741&hilit=preparation What class to take?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=387918&hilit=preparation AMC 10 for AMC 12 practice]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385418&hilit=preparation AMC prep]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384828&hilit=preparation AMC 10/12 Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384747&hilit=preparation AIME/AMC 10 Overlap and Preparation]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=378851&hilit=preparation How to prepare for amc10 and aime?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=369849&hilit=preparation Preparation for AMC 10?]<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_10_Problems_and_Solutions AMC 10 Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12 Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki]<br />
<br />
===AIME Preparation===<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397954&hilit=preparation Studying to qualify for USAMO]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=400442&hilit=preparation How to prepare for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399160&hilit=preparation Preparation for the AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=357602&hilit=preparation Using non-AIME questions to prepare for AIME]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=355918&hilit=preparation Best books to prepare for AIME?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344816&hilit=preparation How to improve AIME score to make JMO?]<br />
<br />
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=341827&hilit=preparation Preparation for AIME and USAMO]<br />
<br />
====Problems====<br />
<br />
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME Problems in the Resources Section]<br />
<br />
[http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki]<br />
<br />
[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems by sorted by difficulty]<br />
<br />
===Beginning Olympiad Preparation===<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation How to Prepare for USAJMO?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep]<br />
<br />
====Bunch of General links====<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep Usamo prep ]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep USAMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep Counting down to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep USAJMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep USAMO Preparation]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep USAJMO Prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep How to prepare for the USAMO/Making Red MOP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep Preparing in a hardcore way]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep USAMO and JMO prep]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep USAMO PREP]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep Beginner to USAMO]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454 What should I be doing?]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep Improve to USAMO and IMO level]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep Prep for USA(J)MO]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654 contest math stuff/some advice on how to get good]'''<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845 Olympiad Prep]<br />
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622 Olympiad Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h619416p3697136 USAJMO Prep]'''<br />
* '''[http://www.artofproblemsolving.com/community/c5h520900 The Right Training]'''<br />
* '''[https://usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests/ What Leads to Success]'''<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176 USAJMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAJMO_Problems_and_Solutions USAJMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
<br />
===Middle/Advanced Olympiad Preparation===<br />
<br />
====Problems====<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38804 Practice Olympiad 2]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38805 Practice Olympiad 3]<br />
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] <br />
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO Problems in the Resources Section]<br />
* [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki]<br />
<br />
===Book Links:===<br />
====Olympiad Level====<br />
=====Free=====<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvejlpenRmZGh6SDQ/view?usp=sharing Lemmas in Olympiad Geometry article]<br />
* [http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry]<br />
<br />
=====Not Free=====<br />
* [http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1 Plane Euclidean Geometry: Theory and Problems]<br />
* [http://www.amazon.com/Complex-Geometry-Mathematical-Association-Textbooks/dp/0883855100/ref=sr_1_1?s=books&ie=UTF8&qid=1338742131&sr=1-1 Complex Numbers and Geometry]<br />
* [http://www.amazon.com/Geometry-Complex-Numbers-Dover-Mathematics/dp/0486638308/ref=sr_1_1?s=books&ie=UTF8&qid=1338742156&sr=1-1 Geometry of Complex Numbers]<br />
* [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?s=books&ie=UTF8&qid=1338741912&sr=1-1 Complex Numbers from A to …Z]<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=sr_1_1?s=books&ie=UTF8&qid=1338742048&sr=1-1 103 Trigonometry Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/An-Introduction-Diophantine-Equations-Problem-Based/dp/0817645489/ref=sr_1_1?ie=UTF8&qid=1338741533&sr=8-1 An Introduction to Diophantine Equations: A Problem-Based Approach]<br />
* [http://www.amazon.com/Introductions-Number-Theory-Inequalities-Bradley/dp/0953682382/ref=sr_1_1?s=books&ie=UTF8&qid=1338741653&sr=1-1 Introductions to Number Theory and Inequalities]<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=sr_1_1?s=books&ie=UTF8&qid=1338741697&sr=1-1 104 Number Theory Problems: From the Training of the USA IMO Team]<br />
* [http://www.amazon.com/102-Combinatorial-Problems-Titu-Andreescu/dp/0817643176/ref=sr_1_1?s=books&ie=UTF8&qid=1338741741&sr=1-1 102 Combinatorial Problems]<br />
* [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/8181283368/ref=sr_1_2?s=books&ie=UTF8&qid=1338741874&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies]<br />
* [http://www.amazon.com/Mathematical-Olympiads-1972-1986-Problems-Solutions/dp/0883856344/ref=sr_1_fkmr1_1?s=books&ie=UTF8&qid=1338742228&sr=1-1 -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and Solutions]<br />
* [http://www.amazon.com/s/ref=nb_sb_noss_1?url=search-alias%3Daps&field-keywords=art+and+craft+of+problem+solving Art and Craft of Problem Solving]<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=sr_1_1?ie=UTF8&qid=1338865322&sr=8-1 Problem Solving Strategies]<br />
<br />
===Problem Sets===<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvS05vQ0N6aEVqSGs/view?usp=sharing Practice problems from around the world]<br />
* [https://drive.google.com/file/d/0B3gLVLnxtyRvQkkwS0xsVVZ3Z1E/view?usp=sharing General problems in Olympiad Mathematics]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_44261211c725bfc07fe3a40698ce18b0 Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e3aaee2729d3d97d945b66e06971e5bc 100 Polynomial Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_afdd8bf4469c8aa0dd12406f9d246da1 Trigonometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82357_cfd6bc6cd06884730701121c0146d455 General all levels]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/85314_e1e907a6c92d64bea241ed35b6414d3a Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/78444_c808a31bb53413a4d4c90426d66df645 Olympiad Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_b361f5fe3bb9b43c6d8a1b516e200bc6 33 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_fbc5d584d5949657f5b7db35d2548f4b Induction Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/114639_c6b98fb00f3baca6fefb3978db3dda1d Induction Solutions]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/369_675af9219c63516a024366c1d8d28251 260 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_4872d512bdc737f3379ad265e17340d1 150 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_65dac7d2c6936fe666a991407da6cbeb 50 Diophantine Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_d8b71468d1bc454fb4ca732ed7950e19 60 Geometry Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/62273_8f432f52f6a8b50ffab885999aacb652 116 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/47577_3609b09820bce0490302aca817405696 Algebraic Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f6f1d08183b32b889ee7d4315ef6f620 100 Combinatorics Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_55fffd4049ab2308ae770a143f03d7c1 100 Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/16383_6600f91864a38bc31764efe5d8b69475 Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_946d6121c243f09232ea6c390236abfd Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/97235_fd4595a2f0efac349561fae52fa49c2b General]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f0a58877b5326ff79aca7f091559d4e4 100 Number Theory Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_cc845a4f181a71ab84cf7af38b79018c 100 Functional Equation Problems]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/110524_4dfa3fbf02e9fd55fcfa3ece6a1a1835 Beginning/Intermediate Counting and Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/82334_ea1bd0c9afa7d8b36d4b7c9e53048d37 40 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/91148_d2614226d17974c7cae22fd6819e6a35 100 Geometric Inequalities]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/139996_1ce94c21ab568094858ede6bdfbec235 10 Fun Unconventional Problems :)]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/118_a49397fc1e83d0931c0e72c9139d5a29 169 Functional Equations]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_6df2379fee465fac760b788106151ed8 Triangle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a090e8492fc3b5e6c9f4ef72e8c25f53 Probability]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_3b10e491c0ba9d6421f55aab84c24632 Algebra]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_cc6e30d39d41a700d293c1c36869ca6f Number Theory]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_c06dc3f7dddb7efe22b5f9c0db0d3a49 Circle Geometry]<br />
* [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a7c63b4b9529686a56abe8298ed1eaa4 Other Geometry]<br />
<br />
'''[http://www.artofproblemsolving.com/wiki/index.php/AoPSWiki:Competition_ratings Ranking of all Olympiads (Difficulty Level)]'''<br />
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== See also ==<br />
<br />
* [[List of mathematics competitions]]<br />
* [[Mathematics scholarships]]<br />
* [[Science competitions]]<br />
* [[Informatics competitions]]<br />
* [http://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F How should I prepare]</div>Masterproblemsolver123