Mathematical Olympiad treasures

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書誌事項

Mathematical Olympiad treasures

Titu Andreescu, Bogdan Enescu

Birkhäuser, c2004

  • : pbk.

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内容説明・目次

内容説明

* "Mathematical Olympiad Treasures" aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. * The book contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics. * The problems are clustered by topic into self-contained sections, that begin with elementary facts, followed by a number of carefully selected problems and an extensive discussion of their solutions. * Should benefit undergraduate students, advanced high school students, instructors, and coaches. * "Treasures" is similar in structure to "Challenges", but with more emphasis on unconventional examples, essay answers, and creative thinking.

目次

Part I: Problems. Algebra. Geometry and Trigonometry. Number Theory and Combinatorics.- Part II: Solutions. Algebra. Geometry and Trigonometry. Number Theory and Combinatorics. Glossary. Index of Notations. Index to the Problems.- Index.

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