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• MATHCOUNTS
  ...includes [[arithmetic]], [[algebra]], [[counting]], [[geometry]], [[number theory]], [[probability]], and [[statistics]]. The focus of MATHCOUNTS curriculum ...heir total number of correct sprint round answers plus 2 times their total number of correct target round answers. This total is out of a maximum of <math>3
  11 KB (1,578 words) - 15:58, 15 March 2025
• Resources for mathematics competitions
  * [//thepuzzlr.com/math-courses Introduction To Number Theory] ==== Introductory ====
  14 KB (1,913 words) - 23:52, 6 March 2025
• Mathematics books
  ...hool. It covers the basics of algebra, geometry, combinatorics, and number theory, along with sets of accompanying practice problems at the end of every sect ...zon.com/Abstract-Algebra-Applications-Thomas-Judson/dp/1944325131 Algebra: Theory and Applications] by [[Thomas Judson]]. One of the easiest books to get st
  23 KB (3,036 words) - 16:38, 1 March 2025
• Physics books
  === Chaos Theory === === Introductory Textbooks ===
  10 KB (1,405 words) - 15:37, 13 January 2025
• Inequality
  ...guably a branch of [[elementary algebra]], and relate slightly to [[number theory]]. They deal with [[relations]] of [[variable]]s denoted by four signs: <ma For two [[number]]s <math>a</math> and <math>b</math>:
  12 KB (1,806 words) - 06:07, 19 June 2024
• AMC 8
  ...minutes given in the exam. Problems increase in difficulty as the problem number increases. Students are not permitted calculators during the test. ...algebra]], [[arithmetic]], [[counting]], [[geometry]], [[logic]], [[number theory]], and [[probability]].
  4 KB (584 words) - 19:59, 19 February 2025
• AMC 10
  ...g]] with [[arithmetic]], [[algebra]], [[counting]], [[geometry]], [[number theory]], [[probability]], and other secondary school mathematical topics. Problem ...problemsolving.com/Store/viewitem.php?item=intro:nt Introduction to Number Theory] by [[Mathew Crawford]]
  4 KB (596 words) - 04:53, 3 February 2025
• AoPS Online School
  ...er entire areas of mathematics such as [[algebra]], [[geometry]], [[number theory]], [[counting]], and [[probability]]. ==== Introductory Math (Grades 5-10) ====
  8 KB (965 words) - 03:41, 17 September 2020
• Wilson's Theorem
  In [[number theory]], '''Wilson's Theorem''' states that if [[integer ]]<math>p > 1</math> , t ...<math>b-c</math>&mdash;a contradiction.) This inverse is unique, and each number is the inverse of its inverse. If one integer <math>a</math> is its own in
  4 KB (639 words) - 01:53, 2 February 2023
• Simon's Favorite Factoring Trick
  ...re than algebra problems, sometimes going into other topics such as number theory. ===Introductory===
  4 KB (682 words) - 10:25, 18 February 2025
• Number theory
  '''Number theory''' is the field of [[mathematics]] associated with studying the properties Number theory is a broad topic, and may cover many diverse subtopics, such as:
  3 KB (404 words) - 20:56, 28 December 2024
• Number theory/Olympiad
  An Olympiad level study of [[number theory]] involves familiarity with intermediate topics to a high level, a few new * [[Number theory/Introduction | Introductory number theory]]
  734 bytes (79 words) - 18:27, 25 April 2008
• Number theory/Intermediate
  ...udy of [[number theory]] extends many of the topics of introductory number theory, but infuses [[mathematical problem solving]] as well as [[algebra]]: ...ving.com/school/course/intermediate-numbertheory AoPS Intermediate Number Theory]
  1,015 bytes (104 words) - 17:21, 1 September 2024
• Modular arithmetic
  ...ers]]. Since modular arithmetic is such a broadly useful tool in [[number theory]], we divide its explanations into several levels: === Introductory Resources ===
  992 bytes (121 words) - 13:25, 20 December 2024
• Fermat's Little Theorem
  ...ponents in [[modular arithmetic]] (which students should study more at the introductory level if they have a hard time following the rest of this article). This th If <math>a</math> is an [[integer]], <math>p</math> is a [[prime number]] and <math>a</math> is not [[divisibility|divisible]] by <math>p</math>, t
  15 KB (2,618 words) - 12:03, 19 February 2025
• Euler's Totient Theorem
  ...]]. If <math>n</math> is a positive integer, <math>\phi{(n)}</math> is the number of integers in the range <math>\{1,2,3\cdots{,n}\}</math> which are relativ ===Introductory===
  4 KB (569 words) - 22:34, 30 December 2024
• Algebra
  ...a in general deals with general classes of structure. Furthermore, number theory interacts more specifically with ...hematics (e.g., [[analysis]]) than does algebra in general. Indeed, number theory
  3 KB (360 words) - 09:31, 21 February 2025
• Induction
  ...ed equal to <math>\frac{n(n+1)}{2}</math> (the <math>n</math>th triangular number is defined as <math>1+2+\cdots +n</math>; imagine an [[equilateral polygon ...e useful in almost any branch of mathematics. Often, problems in [[number theory]] and [[combinatorics]] are especially susceptible to induction solutions,
  5 KB (768 words) - 00:59, 29 September 2024
• Euclidean algorithm
  ...impler one. And we can do this reduction again and again until the smaller number becomes <math>0</math>. ===Introductory===
  6 KB (923 words) - 17:39, 30 September 2024
• Function
  ==Introductory Topics== ...n is the set <math>\{x:|x| \geq 3\}</math>, where <math>x</math> is a real number, because the square root is only defined when its argument is nonnegative.
  10 KB (1,761 words) - 03:16, 12 May 2023

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