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正版新书]离散数学概要:第3版,英文(美)D.J.亨特著9787519248512
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Preface
How to Use This Book
Chapter 1 Logical Thinking
1.1 Formal Logic
1.1.1 Inquiry Problems
1.1.2 Connectives and Propositions
1.1.3 Truth Tables
1.1.4 Logical Equivalences
Exercises 1.1
1.2 Propositional Logic
1.2.1 Tautologies and Contradictions
1.2.2 Derivation Rules
1.2.3 Proof Sequences
1.2.4 Forward-Backward
Exercises 1.2
1.3 Predicate Logic
1.3.1 Predicates
1.3.2 Quantifiers
1.3.3 Translation
1.3.4 Negation
1.3.5 Two Common Constructions
Exercises 1.3
1.4 Logic in Mathematics
1.4.1 The Role of Definitions in Mathematics
1.4.2 Other Types of Mathematical Statements
1.4.3 Counterexamples
1.4.4 Axiomatic Systems
Exercises 1.4
1.5 Methods of Proof
1.5.1 Direct Proofs
1.5.2 Proof by Contraposition
1.5.3 Proof by Contradiction
Exercises 1.5
Chapter 2 Relational Thinking
2.1 Graphs
2.1.1 Edges and Vertices
2.1.2 Terminology
2.1.3 Modeling Relationships with Graphs
Exercises 2.1
2.2 Sets
2.2.1 Membership and Containment
2.2.2 New Sets from Old
2.2.3 Identities
Exercises 2.2
2.3 Functions
2.3.1 Definition and Examples
2.3.2 One-to-One and Onto Functions
2.3.3 New Functions from Old
Exercises 2.3
2.4 Relations and Equivalences
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