Mathematical Olympiad Series, Vol. 2

Problems of Number Theory in Mathematical Competitions

(数学竞赛中的数论问题)

    《Problems of number theory in mathematical competitions》将于2010年1月正式出版。该书为系列丛书“Mathematical Olympiad Series”中的第二 卷（第一卷为《A First Step to Mathematical Olympiad Problems》，作者为 Derek Holton)。本书是根据华东师范大学出版社出版的由苏州大学余红兵编写的中文图书《数学竞赛中的数论问题》翻译的英文译本，由华东师范大学数学系林磊翻译， 华东师范大学出版社、新加坡 World Scientific Publishing Co. Pte. Ltd. 联合出版。ISSN: 1793-8570。ISBN-13 978-981-4271-14-1(pbk), ISBN-10 981-4271-14-4(pbk)。116pp。价格：US$25 / £19。读者对象：爱好数学的高中生及高中数学老师，数学奥林匹克教练，数学专业的本科生及研究生，以及对数学竞赛感兴趣的非数学工作者。

内容简介

Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers  are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.

各章目录

Introduction
1.  Divisibility

2.  Greatest Common Divisors and Least Common Multiples

3.  Prime Numbers and Unique Factorization Theorem

4.  Indeterminate Equations ( I )

5.  Selected Lectures on Competition Problems ( I )

6.  Congruence

7.  Some Famous Theorems in Number Theory

8.  Order and its Application

9.  Indeterminate Equations ( II )

10. Selected Lectures on Competition Problems ( II)

Appendix: Answers of Exercises

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出版社网址


          华东师范大学出版社：http://www.hdsdbook.com.cn

          新加坡 World Scientific：http://www.worldscientific.com



(2009年11月9日创建)