由科曼等編著的《離散數學結構》可作為離散數學基本概念的入門書，並作為向***數學概念發展的基礎。如果**於此，那麼書中涉及計算機科學的一些特定應用可以略去或者單獨作為重要的例子選用。本書可作為計算機科學或者電子與計算機工程課程的教材，它也為計算機相關的許多基本概念打下基礎，並且為這些概念提供延伸、發展和共同的主題。通過參考每章的**知識，教師很容易設計出與各章內容相一致的、適當的教學大綱。

Preface
A Word to Students
1 Fundamentals
l.1 Sets and Subsets
1.2 Operations on Sets
1.3 Sequences
1.4 Properties of Integers
1.5 Matrices
1.6 Mathematical Structures
2 Logic
2.1 Propositions and Logical Operations
2.2 Conditional Statements
2.3 Methods of Proof
2.4 Mathematical Induction
2.5 Mathematical Statements
2.6 Logic and Problem Solving
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 Data Structures for Relations and Digraphs
4.7 Operations on Relations
4.8 Transitive Closure 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 Ex.tremal Elements of Partially Ordered Sets
6.3 Lattices
6.4 Finite Boolean, Algebras
6.5 Functions on Boolean Algebras
6.6 Circuit Design
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
9.6 Other Mathematical Structures
10 Languages and Finite-State Machines
10.1 Languages
10.2 Representations of Special Grammars and Languages
10.3 Finite-State Machines
10.4 Monoids, Machines, and Languages
10.5 Machines and Regular Languages
10.6 Simplification of Machines
11 Groups and Coding
11.1 Coding of Binary Information and Error Detection
11.2 Decoding and Error Correction
11.3 Public Key Cryptology
Appendix A: Algorithms and Pseudocode
Appendix B: Additional Experiments in Discrete Mathematics
Appendix C: Coding Exercises
Answers to Odd-Numbered Exercises
Answers to Chapter Self-Tests
Glossary G-1
Index 1-1
Photo Credits P-1