世界数学奥林匹克经典：数论问题

世界数学奥林匹克经典：数论问题

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作者: 余红兵著

出版社: 世界图书出版公司

出版时间: 2022-09

版次: 1

ISBN: 9787519296117

定价: 36.00

装帧: 其他

开本: 24开

纸张: 胶版纸

字数: 106.000千字

分类: 自然科学

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　　Number theory is an important research field in mathematics. In mathematical competition， problems of elementary number theoryoccur frequently. This kind of problems uses little knowledge and has lots of variations. They are flexible and diverse.In the book we introduce some basic concepts and methods in elementary number theory via problems in mathematics competition.We hope that readers read the book with paper and pencil， and try to solve them by themselves before they read the solutions of examples.Only in this way can they really appreciate the tricks of problem solving. 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
内容简介:
　　Number theory is an important research field in mathematics. In mathematical competition， problems of elementary number theoryoccur frequently. This kind of problems uses little knowledge and has lots of variations. They are flexible and diverse.In the book we introduce some basic concepts and methods in elementary number theory via problems in mathematics competition.We hope that readers read the book with paper and pencil， and try to solve them by themselves before they read the solutions of examples.Only in this way can they really appreciate the tricks of problem solving.
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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