Mathematical Olympiad Challenges

This significantly revised and expanded second edition of 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 from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems. New to the second edition: * Completely rewritten discussions precede each of the 30 units, adopting a more user-friendly style with more accessible and inviting examples * Many new or expanded examples, problems, and solutions * Additional references and reader suggestions have been incorporated Featuring enhanced motivation for advanced high school and beginning college students, as well as instructors and Olympiad coaches, this text can be used for creative problem-solving courses, for professional teacher development seminars and workshops, for self-study, or as a resource for training for mathematical competitions. ----- From a review of the first edition: "This [book] isa? 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 masterya? . The book is aimed at motivated high school and beginning college students and instructors. It 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. I strongly recommend this book for anyone interested in creative problem-solving in mathematicsa? . It has already taken up a prized position in my personal library, and is bound to provide me with many hours of intellectual pleasure." a?The Mathematical GazetteAndreescu, Titu is the author of 'Mathematical Olympiad Challenges' with ISBN 9780817641559 and ISBN 0817641556.