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　　分類: 图书,进口原版书,科学与技术 Science & Techology ,

作者： Jiri Herman，Radan Kucera等著

出 版 社：

出版时间： 2003-1-1字数：版次： 1页数： 392印刷时间： 2003/01/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780387955520包装： 精装内容简介

This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics， combinatorial arithmetic， and combinatorial geometry。 In each topic， brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty， and by exercises that range from routine to rather challenging。 While this book emphasizes some methods that are not usually covered in beginning university courses， it nevertheless teaches techniques and skills that are useful not only in the specific topics covered here。 There are approximately 310 examples and 650 exercises。 Jiri Herman is the headmaster of a prestigious secondary school （Gymnazium） in Brno， Radan Kucera is Associate Professor of Mathematics at Masaryk University in Brno， and Jaromir Simsa is a researcher at the Mathematical Institute of the Academy of Sciences of the Czech Republic。 The translator， Karl Dilcher， is Professor of Mathematics at Dalhousie University in Canada。 This book can be seen as a continuation of the previous book by the same authors and also translated by Karl Dilcher， Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory （Springer-Verlag 2000）。

目录

Preface

Symbols

1 Combinatorics

1Fundamental Rules

2Standard Concepts

3Problems with Boundary Conditions

4Distributions into Bins

5Proving Identities

6The Inclusion Exclusion Principle

7Basics of Pdlya's Theory of Enumeration

8Recursive Methods

2Combinatorial Arithmetic

1Arrangements

2Sequences

3Arrays

4Unordered Configurations

5Iterations

3Combinatorial Geometry

1Systems of Points and Curves

2Systems of Curves and Regions

3Coverings and Packings

4Colorings

4Hints and Answers

1Hints and Answers to Chapter 1

2Hints and Answers to Chapter 2

3Hints and Answers to Chapter 3

Bibliography

Index

 

 

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