Table of contents

  1. Front Matter
    Pages I-VIII
  2. Problems

    1. Front Matter
      Pages 1-1
    2. Titu Andreescu, Bogdan Enescu
      Pages 3-36
    3. Titu Andreescu, Bogdan Enescu
      Pages 37-69
    4. Titu Andreescu, Bogdan Enescu
      Pages 71-98
  3. Solutions

    1. Front Matter
      Pages 99-99
    2. Titu Andreescu, Bogdan Enescu
      Pages 101-148
    3. Titu Andreescu, Bogdan Enescu
      Pages 149-196
    4. Titu Andreescu, Bogdan Enescu
      Pages 197-247
  4. Back Matter
    Pages 249-253

About this book

Introduction

"I took great pleasure in reading Mathematical Olympiad Treasures, by Titu Andreescu and Bogdan Enescu. This book is the fruit of the prodigious activity of two well-known creators of mathematics problems in various mathematical journals.... In all the chapters, the reader can find numerous challenging problems. All featured solutions are interesting, given in increasing level of difficulty; some of them are real gems that will give great satisfaction to any math lover attempting to solve the problems—or even extend them. I believe strongly that Mathematical Olympiad Treasures will reveal the beauty of mathematics to all students, teachers, and all math lovers." 

—MAA Online (Review of the First Edition)

"...this is one of a long recent series of challenging secondary math books, coauthored by Dr. Titu Andreescu and published by Birkhäuser, a series that has definitely enriched the literature on secondary mathematics—a credit to the coauthor and to the wisdom of the editor."

—Zentralblatt MATH (Review of the First Edition)

This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for solving real-world problems, with new sections, revisions, and many more Olympiad-like problems at various levels of difficulty.

The problems are clustered by topic into three self-contained chapters. The book begins with elementary facts, followed by carefully selected problems and detailed, step-by-step solutions, which then lead to more complicated, challenging problems and their solutions. Reflecting the vast experience of two professors and Mathematical Olympiad coaches, the text will be invaluable to teachers, students, and puzzle enthusiasts. The advanced reader is challenged to find alternative solutions and extensions of the proposed problems.

Keywords

Algebra Combinatorics Mathematical Olympiad Mathematics Education Number Theory Topology

Authors and affiliations

  • Titu Andreescu
    • 1
  • Bogdan Enescu
    • 2
  1. 1.Natural Sciences and MathematicsUniversity of Texas at DallasRichardsonUSA
  2. 2.Department of Mathematics"BP Hasdeu" National CollegeBuzauRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-8253-8
  • Copyright Information Springer Science+Business Media, LCC 2012
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-8252-1
  • Online ISBN 978-0-8176-8253-8
  • About this book