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Counting and configurations计数和配置

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最低价：￥614.70

定价：￥683.00

作者：JiriHerman，RadanKucera　等著著

出版社：

出版时间：2003-1-1

I S B N：9780387955520

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Counting and configurations计数和配置

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价格
614.70元

Counting and configurations计数和配置

送货上门

价格
614.70元

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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）。

作者简介

Preface
Symbols
1 Combinatorics
　1　Fundamental Rules
　2　Standard Concepts
　3　Problems with Boundary Conditions
　4　Distributions into Bins
5　Proving Identities
6　The Inclusion Exclusion Principle
7　Basics of Pdlya's Theory of Enumeration
8　Recursive Methods
2　Combinatorial Arithmetic
　1　Arrangements
　2　Sequences
　3　Arrays
　4　Unordered Configurations
　5　Iterations
3　Combinatorial Geometry
　1　Systems of Points and Curves
　2　Systems of Curves and Regions
　3　Coverings and Packings
　4　Colorings
4　Hints and Answers
　1　Hints and Answers to Chapter 1
　2　Hints and Answers to Chapter 2
　3　Hints and Answers to Chapter 3
Bibliography
Index