Andreescu T., Gelca R. Mathematical Olympiad Challenges

2nd ed. — Birkhauser, 2009. — 283 p.This signficantly 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, professional teacher development seminars and workshops, self-study, or as a training resource for mathematical competitions.