About this book
Introduction
Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and wellknown 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 selfcontained 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 openended 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 selfstudy, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.
Keywords
Bibliographic information
 Book Title Mathematical Olympiad Challenges

Authors
Titu Andreescu
Razvan Gelca
 DOI https://doi.org/10.1007/9781461221388
 Copyright Information Birkhäuser Boston 2000
 Publisher Name Birkhäuser Boston
 eBook Packages Springer Book Archive
 Hardcover ISBN 9780817641900
 Softcover ISBN 9780817641559
 eBook ISBN 9781461221388
 Edition Number 1
 Number of Pages XVI, 260
 Number of Illustrations 0 b/w illustrations, 0 illustrations in colour

Topics
Mathematics, general
Algebra
Geometry
Number Theory
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Reviews
"The authors are experienced problem solvers and coaches of mathematics teams. This expertise shows through and the result is a volume that would be a welcome addition to any mathematician's bookshelf." —MAA Online
"This [book] is…much more than just another collection of interesting, challenging problems, but is instead organized specifically for learning. The book expertly weaves together related problems, so that insights gradually become techniques, tricks slowly become methods, and methods eventually evolve into mastery…. The book is aimed at motivated high school and beginning college students and instructors. It can be used as a text for advanced problemsolving courses, for selfstudy, or as a resource for teachers and students training for mathematical competitions, and for teacher professional development, seminars, and workshops.
I strongly recommend this book for anyone interested in creative problemsolving in mathematics…. It has already taken up a prized position in my personal library, and is bound to provide me with many hours of intellectual pleasure." —The Mathematical Gazette