Mathematical Olympiad Treasures

by Titu Andreescu, Bogdan Enescu

Overview

Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems.

Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.

Product Details

ISBN-13:	9780817682521
Publisher:	Birkhäuser Boston
Publication date:	09/20/2011
Edition description:	2nd ed. 2012
Pages:	253
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

About the Author

Andreescu, Titu, Enescu, Bogdan

Table of Contents

I Problems.-

1 Algebra.- 2 Geometry and Trigonometry.- 3 Number Theory and Combinatorics.- II Solutions.- 4 Algebra.- 5 Geometry and Trigonometry.- 6 Number Theory and Combinatorics

Editorial Reviews

"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....

Treasures is organized in six chapters. The first three deal with problems from algebra, geometry and trigonometry, number theory and combinatorics. Chapters 4, 5 and 6 give the solutions to problems presented in the first three chapters. 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

"...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

From the Publisher