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组合数学(英文版·第3版)
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组合数学(英文版·第3版)


副标题
英文版
作者
Richard A.Brualdi
ISBN
7111091582
页数
636
开本
16开
高度
25 毫米
重量
600 克
封面形式
简裝本
出版社
机械工业出版社
出版日期
2003-1-1
NT$
333
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 内容简介  
  《经典原版书库》系列丛书是响应教育部提出的使用原版国外教材的号召,为国内高校的计算机教学度身打造的。在广泛地征求并听取丛书的“专家指导委员会”的意见后,最终选定了30多种篇幅内容适度、讲解鞭辟入里的教材,其中的大部分已经被M.I.T、Stanford、U.C.Berkley、C.M.U.等世界名牌大学采用。丛书不仅涵盖了程序设计、数据结构、操作系统、计算机体系结构、数据库、编译原理、软件工程、图形学、通信与网络、离散数学等国内大学计算机专业普遍开设的核心课程,而且各具特色——有的出自语言设计者之手、有的历三十年而不衰,有的已被全世界的几百所高校采用。在这些圆熟通博的名师大作的指引之下,读者必将在计算机科学的宫殿中由登堂而入室。 本书是其中一册。
 本书目录  
  Preface
Chapter 1.What is Combinatorics?
Chapter 2.The Pigeonhole Principle
Chapter 3.Permutations and Combinations
Chapter 4.Generating Permutations and Combinations
Chapter 5.The Binomial Coefficients
Chapter 6.The Inclusion-Exclusion Principle and Applications
Chapter 7.Recurrence Relations and Generating Functions
Chapter 8.Special Counting Sequences
Chapter 9.Matchings in Bipartite Graphs
Chapter 10.Combinatorial Designs
Chapter 11.Introduction to Graph Theory
Chapter 12.Digraphs and Networks
Chapter 13.More on Graph Theory
Chapter 14.Polya Counting
Answers and Hints to Exercises
Bibliography
Index
 文章节选  
  Chapter 1 What is Combinatorics? It would be surprising indeed if a reader of this book had never solved a combinatorial problem. Have you ever counted the number of games n teams would play if each team played every other team exactly once? Have you ever constructed magic squares? Have you ever attempted to trace through a network without removing your pencil from the paper and without tracing any part of the network more than once? Have you ever counted the number of poker hands which are full houses in order to determine what the odds against a full house are? There are all combinatorial problems. As ematical recreations and games. Many problems that were studied in the past, either for amusement or for their aesthetic appeal, are today of great importance in pure and applied science.
 


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