Table of Contents
Preface
Part I – Basic Concepts of Discrete Math
Chapter 1: Key Concepts, Notation, Set Theory, Relations, and Functions
What is discrete mathematics?
Elementary set theory
Definition–Sets and set notation
Definition: Elements of sets
Definition: The empty set
Example: Some examples of sets
Definition: Subsets and supersets
Definition: Set-builder notation
Example: Using set-builder notation
Definition: Basic set operations
Definition: Disjoint sets
Example: Even and odd numbers
Theorem: De Morgan's laws
Example: De Morgan's Law
Definition: Cardinality
Example: Cardinality
Functions and relations
Definition: Relations, domains, and ranges
Definition: Functions
Examples: Relations versus functions
Example: Functions in elementary ...
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