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\(\newcommand{\R}{\mathbb{R}} \newcommand{\Z}{\mathbb{Z}} \newcommand{\Pow}{\mathcal{P}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)
Discrete Mathematics for Computer Science
Mark A. Fitch
Contents
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Contents
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Front Matter
Colophon
About Mark A. Fitch
Preface
1
Basics
Terminology
Sets
Set Operations
Sets in Relational Database
Combinatorics: First Counts
Sorting: Part 0
2
Logic
Formal Logic
Circuits
Predicate Logic
Mathematical Proof
3
Functions
Functions
Boolean Algebra
Modulo Arithmetic
Combinatorics: Second Counts
Proof by Contradiction
4
Relations
Example: Error Correcting Codes
Mathematical Relations
Equivalence Relations
Partially Ordered Sets
Combinatorics: Inclusion/Exclusion
5
Graph Theory
Discovering Graphs
Properties of Graphs
Graph Isomorphism
Paths
Cycles
Trees
Linear Recurrence Relations
Back Matter
A
University Database Example
B
Glossary
Authored in PreTeXt
Appendix
B
Glossary
Symbol
Description
Location
\(\Z\)
The set of the integers
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\(\R\)
The set of the real numbers
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\(\Z^+\)
The set of the positive integers
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