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Index
Title Page
Copyright Page
Preface
Contents
Chapter 1. The Algebra of Sets
1–1 Introduction
1–2 Element and set
1–3 The combination of sets
1–4 Venn diagrams
1–5 Fundamental laws
1–6 Expanding, factoring, and simplifying
1–7 Properties of set inclusion
1–8 Conditional equations
1–9 Solution of equations
1–10 The number of elements in a set
Chapter 2. Boolean Algebra
2–1 Introduction
2–2 Preliminary definitions
2–3 Definition and properties of a Boolean algebra
2–4 Disjunctive normal form
2–5 Conjunctive normal form
2–6 Representation of a Boolean algebra
Chapter 3. Symbolic Logic and the Algebra of Propositions
3–1 Introduction
3–2 Propositions and definitions of symbols
3–3 Truth tables
3–4 Object logic and syntax logic
3–5 Material implication
3–6 Truth sets for propositions
3–7 Quantifiers
3–8 Valid arguments
3–9 Indirect proofs
3–10 Functionally complete sets of operations
3–11 Special problems
Chapter 4. Switching Algebra
4–1 Introduction
4–2 Definition of the algebraic symbols
4–3 Simplification of circuits
4–4 Non-series-parallel circuits
4–5 Design of circuits from given properties
4–6 Design of n-terminal circuits
4–7 Symmetric functions and their circuits
Chapter 5. Relay Circuits and Control Problems
5–1 Introduction
5–2 Basic relay control paths
5–3 n-terminal circuits and the uses of transfer contacts
5–4 Operate and hold paths
5–5 Sequential circuits and sequence diagrams
5–6 Design of sequential relay circuits from given conditions
5–7 Special problems involving the design of relay circuits
Chapter 6. Circuits for Arithmetic Computation
6–1 Introduction
6–2 The binary number system
6–3 Logical circuit elements
6–4 Addition of binary numbers
6–5 Subtraction of binary numbers
6–6 Accumulation
6–7 Binary multiplication
Chapter 7. Introduction to Probability in Finite Sample Spaces
7–1 Introduction
7–2 Event, sample space, probability
7–3 Conditional probability
7–4 Some aids to counting
7–5 Bernoulli trials, binomial distribution
Answers to Selected Problems
Index
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