Mathematical Olympiad Challenges

  • Titu Andreescu
  • Răzvan Gelca

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Problems

  3. Solutions

  4. Back Matter
    Pages 277-283

About this book


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.


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...I strongly recommend this book for anyone interested in creative problem-solving 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 (Review of the First Edition)


Addition Algebra Combinatorics Math Olympiads Problem solving Problem-solving Trigonometry calculus geometry mathematical contests mathematics number theory problem-solving techniques

Authors and affiliations

  • Titu Andreescu
    • 1
  • Răzvan Gelca
    • 2
  1. 1.University of Texas at DallasSchool of Natural Sciences and MathematicsRichardsonUSA
  2. 2.Department of Mathematics and StatisticsTexas Tech UniversityLubbockUSA

Bibliographic information