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Encyclopedia > Art of Problem Solving

The Art of Problem Solving began as a set of two books coauthored by Richard Rusczyk and Sandor Lehoczky. The books, which are about 750 pages together, are for students who are interested in mathematics or compete in mathematics competitions. Richard Rusczyk is the founder of AoPS Incorporated and a co-author of the Art of Problem Solving textbooks. ... Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations related to: Mathematics Look up Mathematics in Wiktionary, the free dictionary Wikimedia Commons has media related to: Mathematics Interactive Mathematics Miscellany and Puzzles — A collection of articles on various math topics, with interactive Java... // International mathematics competitions IMO (International Mathematical Olympiad) -- worldwide IMC (International Mathematics Competition for University Students) [1] PMWC (Primary Mathematics World Contest) -- worldwide Regional mathematics competitions SEAMO (SEAMEO Mathematics Olympiad) -- South-East Asia APMO (Asian-Pacific Mathematics Olympiad) -- Pacific rim OIM (Olimpíadas Iberoamericanas de Matemática) -- Spain, Portugal and Latin...


Volume 1: The Basics is appropriate for students just beginning in math contests, while Volume 2: and Beyond is for more advanced students. Both books feature hundreds of problems from actual mathematics competitions, such as the American Mathematics Competitions (AMC), the United States of America Mathematical Olympiad (USAMO), the Mandelbrot Competition, Mu Alpha Theta, Mathematics and Informatics Quarterly magazine, and the International Mathematical Olympiad (IMO). The American Mathematics Competitions (AMC) is a series of high school mathematics contests used to select the six-member team to represent the United States at the International Mathematical Olympiad (IMO). ... The United States of America Mathematical Olympiad (USAMO) is a prestigious mathematics competition held annually in the United States. ... The Mandelbrot Competition is a mathematics competition consists of five rounds every year. ... This article needs to be cleaned up to conform to a higher standard of quality. ... Mathematics and Informatics Quarterly is a magazine which presents mathematical results and problems aimed at recreational mathematicians, especially at high school levels. ... The International Mathematical Olympiad (IMO) is an annual contest for high school students. ...


Although the books discuss many topics that occur frequently in mathematics contests (and, perhaps, in problem solving in general), they are not just a collection of tricks. Instead, the books teach students to learn and understand methods, which allows them to solve a wide variety of problems beyond the types presented in the books.


The Art of Problem Solving is now also a website. It features many resources for students and teachers interested in math, including:

  • An online forum for students and instructors to discuss topics in problem solving, as well as share and solve mathematics problems.
  • Free "Math Jams", called this because they are improvisational problem solving sessions guided by Art of Problem Solving instructors.
  • Inexpensive online classes covering a variety of mathematical topics, including algebra, combinatorics, geometry, inequalities, and number theory. The classes include 18-24 hours of interactive classes, challenge sets, and extra practice problems.
  • A collection of articles relating to math (such as "The Calculus Trap") and links to other sites with mathematical content.

The authors of the Art of Problem Solving are currently writing another set of books on algebra, geometry, counting, and number theory. The Intro to Counting and Probability book is already released, written by MIT PH.D Dr. Dave Patrick.


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