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离散数学结构PDF|Epub|txt|kindle电子书版本网盘下载

离散数学结构
  • （美）Bernard Kolman等著 著
  • 出版社： 北京：高等教育出版社
  • ISBN：7040100967
  • 出版时间：2001
  • 标注页数：505页
  • 文件大小：40MB
  • 文件页数：524页
  • 主题词：

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图书目录

1 Fundamentals1

1.1 Sets and Subsets1

1.2 Operations on Sets5

1.3 Sequences13

1.4 Division in the Integers21

1.5 Matrices30

1.6 Mathematical Structures38

2.1 Propositions and Logical Operations46

2 Logic46

2.2 Conditional Statements52

2.3 Methods of Proof58

2.4 Mathematical Induction64

3 Counting73

3.1 Permutations73

3.2 Combinations78

3.3 Pigeonhole Principle83

3.4 Elements of Probability86

3.5 Recurrence Relations95

4 Relations and Digraphs103

4.1 Product Sets and Partitions103

4.2 Relations and Digraphs107

4.3 Paths in Relations and Digraphs115

4.4 Properties of Relations121

4.5 Equivalence Relations128

4.6 Computer Representation of Relations and Digraphs133

4.7 Operations on Relations140

4.8 Transitive Closure and Warshall s Algorithm150

5 Functions161

5.1 Functions161

5.2 Functions for Computer Science170

5.3 Growth of Functions175

5.4 Permutation Functions180

6 Order Relations and Structures191

6.1 Partially Ordered Sets191

6.2 Extremal Elements of Partially Orderd Sets202

6.3 Lattices207

6.4 Finite Boolean Algebras217

6.5 Functions on Boolean Algebras225

6.6 Circuit Designs229

7 Trees245

7.1 Trees245

7.2 Labeled Trees250

7.3 Tree Searching254

7.4 Undirected Trees264

7.5 Minimal Spanning Trees271

8.1 Graphs280

8 Topics in Graph Theory280

8.2 Euler Paths and Circuits286

8.3 Hamiltonian Paths and Circuits293

8.4 Transport Networks297

8.5 Matching Problems305

8.6 Coloring Graphs311

9 Semigroups and Groups319

9.1 Binary Operations Revisited319

9.2 Semigroups324

9.3 Products and Quotients of Semigroups331

9.4 Grouos338

9.5 Products and Quotients of Groups349

10 Languages and Finite-State Machines357

10.1 Languages357

10.2 Representations of Special Grammars and Languages366

10.3 Finite-State Machines375

10.4 Semigroups, Machines, and Languages381

10.5 Machines and Regular Languages386

10.6 Simplification of Machines393

11 Groups and Coding401

11.1 Coding of Binary Information and Error Detection401

11.2 Decoding and Error Correction413

Appendix A: Algorithms and Pseudocode425

Appendix B: Experiments in Discrete Mathematics438

Answers to Odd-Numbered Exercises455

Answers to Chapter Self-Tests489

Index502

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