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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)

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作 者：[美]布鲁奥地 著 著

出 版 社：机械工业出版社

出版时间：2002-1-1

I S B N：9787111091585

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    内容简介
    　 This third edition of Introductory Combinatorics contains extensive rewriting of some sections and the inclusion of some new material and exercises. There is enough material in this third edition for a two-semester course. A first semester could have an emphasis on counting and a second semester an emphasis on graph theory. It is difficult to assess the prerequisites for this book. Perhaps they can be best described as the mathematical maturity achieved by the successful completion of the calculus sequence and an elementary course on linear algebra. Use of calculus is minimal, and the references to linear algebra are few and should not cause any problem to those not familiar with it.

    作者简介

    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

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