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Mathematical Olympiad Challenges
Mathematical Olympiad Challenges
Mathematical Olympiad Challenges
Birkhдuser Boston (January 10, 2001) | ISBN: 0817641556 | PDF | 260 pages | 13.2 Mb

"Mathematical Olympiad Challenges" is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals.

The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems.

Key features of this work include:

Problems clustered in three self-contained sections Complete solutions provided separately Background material, representative examples, and beautiful diagrams to supplement each problem set Material successfully tested in classrooms as well as in national and international competitions Historical insights and asides presented to stimulate further inquiry

Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem-solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.

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