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＜電子ブック＞
Mathematical Olympiad Challenges / by Titu Andreescu, Razvan Gelca

版	1st ed. 2000.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2000
本文言語	英語
大きさ	XVI, 260 p : online resource
著者標目	*Andreescu, Titu author Gelca, Razvan author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Algebra LCSH:Geometry LCSH:Number theory FREE:Mathematics FREE:Algebra FREE:Geometry FREE:Number Theory
一般注記	I Problems -- 1 Geometry and Trigonometry -- 2 Algebra and Analysis -- 3 Number Theory and Combinatorics -- II Solutions -- 1 Geometry and Trigonometry -- 2 Algebra and Analysis -- 3 Number Theory and Combinatorics -- A Appendix A: Definitions and Notation -- A.1 Glossary of Terms -- A.2 Glossary of Notation -- About the Authors 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. An important feature of the work is the comprehensive background material provided with each grouping of problems. 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. 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 HTTP:URL=https://doi.org/10.1007/978-1-4612-2138-8

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