
Boolean Algebra Essentials
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Content
- Intro
- Title Page
- Copyright Page
- WHAT "THE ESSENTIALS" WILL DO FOR YOU
- Table of Contents
- CHAPTER 1 - SET THEORY
- 1.1 WHAT ARE SETS?
- 1.2 INCLUSION RELATIONS BETWEEN SETS
- 1.3 THE UNION AND INTERSECTION OF SETS
- 1.4 THE ALGEBRA OF SETS
- 1.5 MEASURING THE SIZE OF A SET
- 1.6 CARTESIAN PRODUCTS AND BINARY RELATIONS
- 1.7 ADDITIONAL SET THEORY CONCEPTS
- CHAPTER 2 - SENTENTIAL CALCULUS
- 2.1 FUNDAMENTAL CONCEPTS
- 2.2 TRUTH TABLES AND BASIC LOGICAL OPERATIONS
- 2.3 LOGICAL EQUIVALENCE
- 2.4 FUNDAMENTAL PROPERTIES OF OPERATIONS
- 2.5 SENTENCES, LITERALS AND FUNDAMENTAL CONJUNCTIONS
- 2.6 ADEQUATE SYSTEMS OF CONNNECTIVES AND DUALITY
- 2.7 LOGIC EQUIVALENCE CLASSES
- CHAPTER 3 - FUNDAMENTAL IDEAS OF BOOLEAN ALGEBRAS
- 3.1 PRELIMINARY REMARKS
- 3.2 DEFINITION OF A BOOLEAN ALGEBRA
- 3.3 BASIC PROPERTIES OF A BOOLEAN ALGEBRA
- 3.4 ORDER RELATIONS
- 3.5 REVERSE POLISH NOTATION
- 3.6 BOOLEAN FUNCTIONS
- CHAPTER 4 - LATTICES, RINGS AND BOOLEAN ALGEBRAS
- 4.1 BOOLEAN ALGEBRAS AND LATTICES
- 4.2 BOOLEAN ALGEBRAS AND RINGS
- CHAPTER 5 - THE STRUCTURE OF A BOOLEAN ALGEBRA
- 5.1 ISOMORPHISMS
- 5.2 COLLECTIONS OF SETS CLOSED UNDER UNION, INTERSECTION AND COMPLEMENT
- 5.3 ATOMS - BUILDING BLOCKS OF BOOLEAN ALGEBRAS
- 5.4 IDEALS - PARTITIONING A BOOLEAN ALGEBRA
- CHAPTER 6 - BOOLEAN ALGEBRA IN COMMUNICATIONS SYSTEMS
- 6.1 BACKGROUND REMARKS
- 6.2 SWITCHES AND CIRCUITS
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