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Contents Preface Chapter 1 Symbolic Logic 1.1 The Logical Connectives 1.2 Truth-Table Analysis 1.3 Propositions Constructed from Independent Propositions 1.4 The Disjunctive Normal Form 1.5 Tautologies and Valid Arguments 1.6 The Algebra of Propositions 1.7 Applications to Switching Networks 1.8 The Universal Quantifier 1.9 The Existential Quantifier 1.10 Propositions Involving Several Quantifiers Chapter 2 Set Theory 2.1 Sets 2.2 Russell's Paradox 2.3 Operations on Sets 2.4 The Algebra of Sets 2.5 Ordered n-Tuples 2.6 Mappings 2.7 Operations 2.8 Relations 2.9 Equivalence Relations and Partitions 2.10 Measure Chapter 3 The Axiomatic Method and Abstract Algebra 3.1 Algebraic Systems 3.2 The Axiomatic Method 3.3 Semigroups 3.4 Groups 3.5 More Examples of Groups 3.6 Rings; Integral Domains 3.7 Fields; Ordered Fields 3.8 Vector Spaces 3.9 Boolean Algebra Chapter 4 Number Systems 4.1 The Peano System 4.2 The Natural Number System 4.3 The System of Integers 4.4 The Rational Number System Chapter 5 The Real Number System 5.1 Sequences of Decimal Rationals 5.2 The Real Number System 5.3 Almost-Constant Sequences 5.4

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Author

A. H. Lightstone

Publisher

Harper & Row

Published

1965

Language

EN

ISBN

9780063562851

Category

nonfiction