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离散数学结构(第4版 影印版)

离散数学结构(第4版 影印版)

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作 者: (美)Bernard Kolman等著
出版社: 高等教育出版社
丛编项: 国外优秀信息科学与技术系列教学用书
标 签: 离散数学

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ISBN: 9787040100969 出版时间: 2001-01-01 包装: 简装
开本: 24cm 页数: 524 字数:  

内容简介

  English Reprint Copyright 2001 by PEARSON EDUCATION ,NORTH ASIA LIMIED and HIGHEREDUCATION PRESSDiscrete Mathematical structure from prentice Halls edition of the workDiscrete Mathematical Structure, 4th edition by Bernard Kolman, Robert C, Busby, Sharon CutlerRoss Copyright20911996All Rights ReservedPublished by arrangement with Prentice Hall, Inc., a Pwarson Education companyThis edition is authorized for sale only in the Peoples Republic of China (excluding the SpecialAdministrative Regions of Hong Kong nd Maeau)目录1Fundamentals 12Logic463Counting 734 Relations and Digraphs 1035 Functions 1616 Order Relations and Structures 1917 Trees 2458 Topics in Graph Theory2809Semigroups and Groups 319l0 Languages and Finite-State Machines 357Appendix A: Algorithms and Pseudocode 425Appendix B: Experiments in Discrete Mathematics 438Answers to Odd-Numbered Exercises 455Answers to Chapter Self-Tests 489Index 502

作者简介

暂缺《离散数学结构(第4版 影印版)》作者简介

图书目录

Preface 
1 Fundamentals
1.1 Sets and Subsets
1.2 Operations on Sets
1.3 Sequences
1.4 Divison in the Integers
1.5 Matrices 
1.6 Matematical Structures
2 Logic 
2.1 Propositions and Logical operations
2.2 Conditional Statements
2.3 Methods of Proof 
2.4 Mathematical Induction
3 Counting 
3.1 Permutations
3.2 Combinations
3.3 Pigeonhole Principle 
3.4 Elements of Probability
3.5 Recurrence Relations
4 Relations and Digraphs
4.1 Product Sets and Partitions
4.2 Relations and Digraphs
4.3 Paths in Relations and Digraphs
4.4 Properties of Relations 
4.5 Equivalence Relations
4.6 Computer Rrpresentation of Relations and Digraphs
4.7 Operations on Relations
4.8 Transitive and Warshall’s Algorithm 
5 Functions
5.1 Functions
5.2 Functions for Computer Science
5.3 Growth of Functions
5.4 Permutation Functions
6 Order Relations and Structures 
6.1 Partially Ordered Sets
6.2 Extremal Elements of Partially Ordered Sets 
6.3 Lattices
6.4 Finite Boolean algebras
6.5 Functions on Boolean Algebras 
6.6 Circuit Designs 
7 Trees 
7.1 Trees 
7.2 Labeled Trees
7.3 Tree Searching 
7.4 Undirected Trees
7.5 Minimal Spanning Trees 
8 Topics in Graph Theory 
8.1 Graphs 
8.2 Euler Paths and Circuits 
8.3 Hamiltonian Paths and Circuits 
8.4 Transport Networks 
8.5 Matching Problems
8.6 Coloring Graphs
9 Semigroups and Groups
9.1 Binary Operations Revisited 
9.2 Semigroups 
9.3 Products and Quotients of Semigroups
9.4 Groups
9.5 Products and Quotients of Groups 
10 Languages and Finite-State Machines 
10.1 Languages 
10.2 Rrpresentations of Special Grammars and Languages 
10.3 Finite-State Machines 
10.4 Semigroups,Machines,and Languages
10.5 Machines and Regulat Languages 
10.6 Sunplification of Machines 
11 Groups and Coding
11.1 Coding of Binary Information and Error Detection
11.2 Decoding and Error Correction
Appendix A:Algorithms and Pseudocode 
Appendix B:Experiments in Discrete Mathematics
Answers to Odd-Numbered Exercises 
Answers to Chapter Self-Tests 
Index 

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