Difference between revisions of "Math books"
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== Books by subject == | == Books by subject == | ||
=== Combinatorics === | === Combinatorics === | ||
| + | ==== Getting Started ==== | ||
* [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=3 Introduction to Counting & Probability] textbook, which is recommended for advanced middle and high school students. | * [[AoPS]] publishes Dr. [[David Patrick]]'s [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=3 Introduction to Counting & Probability] textbook, which is recommended for advanced middle and high school students. | ||
==== Intermediate ==== | ==== Intermediate ==== | ||
* [http://www.amazon.com/exec/obidos/ASIN/0883856158/artofproblems-20 Mathematics of Choice] by Ivan Nevin. | * [http://www.amazon.com/exec/obidos/ASIN/0883856158/artofproblems-20 Mathematics of Choice] by Ivan Nevin. | ||
| + | * [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]]. | ||
| + | ==== Olympiad ==== | ||
| + | * [http://www.amazon.com/exec/obidos/ASIN/0817643176/artofproblems-20 102 Combinatorial Problems] by [[Titu Andreescu]] and [[Zuming Feng]]. | ||
=== Geometry === | === Geometry === | ||
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==== Intermediate ==== | ==== Intermediate ==== | ||
* [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. | * [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. | ||
| + | * [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic. | ||
| + | ==== Olympiad ==== | ||
| + | * [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic. | ||
=== Probability === | === Probability === | ||
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* [http://www.amazon.com/exec/obidos/ASIN/1895997046/artofproblems-20 A Mathematical Mosaic] by [[Putnam Fellow]] [[Ravi Vakil]]. | * [http://www.amazon.com/exec/obidos/ASIN/1895997046/artofproblems-20 A Mathematical Mosaic] by [[Putnam Fellow]] [[Ravi Vakil]]. | ||
* [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words] | * [http://www.amazon.com/exec/obidos/ASIN/0883857006/artofproblems-20 Proofs Without Words] | ||
| + | |||
| + | ==== Olympiad ==== | ||
| + | * [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges] | ||
| + | * [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel. | ||
| + | * [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson. | ||
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* [http://www.amazon.com/exec/obidos/ASIN/0962640166/artofproblems-20 ARML-NYSML 1989-1994] | * [http://www.amazon.com/exec/obidos/ASIN/0962640166/artofproblems-20 ARML-NYSML 1989-1994] | ||
* [http://www.amazon.com/exec/obidos/ASIN/0883855194/artofproblems-20 Five Hundred Mathematical Challenges] -- An excellent collection of problems (with solutions). | * [http://www.amazon.com/exec/obidos/ASIN/0883855194/artofproblems-20 Five Hundred Mathematical Challenges] -- An excellent collection of problems (with solutions). | ||
| + | * [http://www.amazon.com/exec/obidos/ASIN/0486277097/artofproblems-20 The USSR Problem Book] | ||
=== Olympiad === | === Olympiad === | ||
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=50 USAMO 1972-1986] -- Problems from the [[United States of America Mathematical Olympiad]]. | * [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=50 USAMO 1972-1986] -- Problems from the [[United States of America Mathematical Olympiad]]. | ||
| − | + | * [http://www.amazon.com/exec/obidos/ASIN/0817641556/artofproblems-20 Mathematical Olympiad Challenges] | |
| + | * [http://www.amazon.com/exec/obidos/ASIN/0387982191/artofproblems-20 Problem Solving Strategies] by Arthur Engel. | ||
| + | * [http://www.amazon.com/exec/obidos/ASIN/0387961712/artofproblems-20 Problem Solving Through Problems] by Loren Larson. | ||
=== Collegiate === | === Collegiate === | ||
Revision as of 05:16, 6 June 2006
Books by subject
Combinatorics
Getting Started
- AoPS publishes Dr. David Patrick's Introduction to Counting & Probability textbook, which is recommended for advanced middle and high school students.
Intermediate
- Mathematics of Choice by Ivan Nevin.
- 102 Combinatorial Problems by Titu Andreescu and Zuming Feng.
Olympiad
Geometry
Getting Started
- AoPS publishes Richard Rusczyk's Introduction to Geometry textbook, which is recommended for advanced middle and high school students.
Intermediate
- Challenging Problems in Geometry -- A good book for students who already have a solid handle on elementary geometry.
- Geometry Revisited -- A classic.
Olympiad
- Geometry Revisited -- A classic.
Probability
- AoPS publishes Dr. David Patrick's Introduction to Counting & Probability textbook, which is recommended for advanced middle and high school students.
Problem Solving
Getting Started
- the Art of Problem Solving Volume 1 by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 7-9.
- Mathematical Circles -- A wonderful peak into Russian math training.
Intermediate
- the Art of Problem Solving Volume 2 by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 9-12.
- The Art and Craft of Problem Solving by Paul Zeitz, former coach of the U.S. math team.
- How to Solve It by George Polya.
- A Mathematical Mosaic by Putnam Fellow Ravi Vakil.
- Proofs Without Words
Olympiad
- Mathematical Olympiad Challenges
- Problem Solving Strategies by Arthur Engel.
- Problem Solving Through Problems by Loren Larson.
General interest
- The Code Book by Simon Singh.
- Count Down by Steve Olson.
- Fermat's Enigma
- Godel, Escher, Bach
- Journey Through Genius by William Dunham.
- Proofs Without Words
Math contest problem books
Elementary School
- Mathematical Olympiads for Elementary and Middle Schools (MOEMS) publishes two excellent contest problem books.
Getting Started
- MathCounts books -- Practice problems at all levels from the MathCounts competition.
- Contest Problem Books from the AMC.
- More Mathematical Challenges by Tony Gardiner. Over 150 problems from the UK Junior Mathematical Olympiad, for students ages 11-15.
Intermediate
- The Mandelbrot competition has two problem books for sale at AoPS.
- ARML-NYSML 1989-1994
- Five Hundred Mathematical Challenges -- An excellent collection of problems (with solutions).
- The USSR Problem Book
Olympiad
- USAMO 1972-1986 -- Problems from the United States of America Mathematical Olympiad.
- Mathematical Olympiad Challenges
- Problem Solving Strategies by Arthur Engel.
- Problem Solving Through Problems by Loren Larson.
Collegiate
- Three Putnam competition books are available at AoPS.
