**by Al Doerr, Ken Levasseur**

DescriptionTable of ContentsDetailsHashtagsReport an issue ### Book Description

Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces.

Applied Discrete Structures is designed for use in a university course in discrete mathematics spanning up to two semesters. Its original design was for computer science majors to be introduced to the mathematical topics that are useful in computer science. It can also serve the same purpose for mathematics majors, providing a first exposure to many essential topics. ### Table of Contents

### Book Details

### Related Books

Applied Discrete Structures is designed for use in a university course in discrete mathematics spanning up to two semesters. Its original design was for computer science majors to be introduced to the mathematical topics that are useful in computer science. It can also serve the same purpose for mathematics majors, providing a first exposure to many essential topics.

This open book is licensed under a Creative Commons License (CC BY-NC-SA). You can download Applied Discrete Structures ebook for free in PDF format (25.4 MB).

Chapter 1

Set Theory

Chapter 2

Combinatorics

Chapter 3

Logic

Chapter 4

More on Sets

Chapter 5

Introduction to Matrix Algebra

Chapter 6

Relations

Chapter 7

Functions

Chapter 8

Recursion and Recurrence Relations

Chapter 9

Graph Theory

Chapter 10

Trees

Chapter 11

Algebraic Structures

Chapter 12

More Matrix Algebra

Chapter 13

Boolean Algebra

Chapter 14

Monoids and Automata

Chapter 15

Group Theory and Applications

Chapter 16

An Introduction to Rings and Fields

Appendix A

Algorithms

Appendix B

Python and SageMath

Appendix C

Determinants

Appendix D

Hints and Solutions to Selected Exercises

Appendix E

Notation

Title

Applied Discrete Structures

Subject

Science and Mathematics

Publisher

Self-publishing

Published

2020

Pages

568

Edition

3

Language

English

ISBN13 Digital

9781105559297

ISBN10 Digital

1105559297

PDF Size

25.4 MB

License

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