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Discrete Mathematics with Applications

By Susanna S. Epp

5th Edition © 2020
Discipline:Mathematics
Course:Discrete Mathematics
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Known for its accessible, precise approach, Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, introduces discrete mathematics with clarity and precision. Coverage emphasizes the major themes of discrete mathematics as well as the reasoning that underlies mathematical thought. Students learn to think abstractly as they study the ideas of logic and proof. While learning about logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that ideas of discrete mathematics underlie and are essential to today’s science and technology. The author’s emphasis on reasoning provides a foundation for computer science and upper-level mathematics courses.

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AboutTable of contentsResourcesPricing & formatsRelated products

About this product

Known for its accessible, precise approach, Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, introduces discrete mathematics with clarity and precision. Coverage emphasizes the major themes of discrete mathematics as well as the reasoning that underlies mathematical thought. Students learn to think abstractly as they study the ideas of logic and proof. While learning about logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that ideas of discrete mathematics underlie and are essential to today’s science and technology. The author’s emphasis on reasoning provides a foundation for computer science and upper-level mathematics courses.

Features, definitions, theorems, and exercise types are clearly marked and easily navigable, making the book an excellent reference that students will want to keep and continually refer back to in their later courses.

A large number of computer science applications are included, both to motivate students and to ease their transition into more advanced computer science courses.

Epp addresses inherent difficulties in understanding logic and language with very concrete and easy-to-conceptualize examples, an approach that helps students with a variety of backgrounds better comprehend basic mathematical reasoning, and enables them to construct sound mathematical arguments.

More than 2500 exercises provide ample practice for students, with numerous applied problems covering an impressive array of applications.

Table of contents

Chapters

Cover Page
Title Page
Copyright Page
Dedication
Preface
Acknowledgments
Chapter 1. Speaking Mathematically*Preview this chapter
Chapter 2. The Logic of Compound Statements
Chapter 3. The Logic of Quantified Statements
Chapter 4. Elementary Number Theory and Methods of Proof
Chapter 5. Sequences, Mathematical Induction, and Recursion
Chapter 6. Set Theory
Chapter 7. Properties of Functions
Chapter 8. Properties of Relations
Chapter 9. Counting and Probability
Chapter 10. Theory of Graphs and Trees
Chapter 11. Analysis of Algorithm Efficiency
Chapter 12. Regular Expressions and Finite-State Automata
Appendix A. Properties of the Real Numbers
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Chapter 1. Speaking MathematicallyPreview this chapter ↗

1.1
Variables
Preview this section ↗
Some Important Kinds of Mathematical Statements ↗
Universal Conditional Statements ↗
Universal Existential Statements ↗
Existential Universal Statements ↗
Test Yourself ↗
Exercise Set 1.1 ↗
1.2
The Language of Sets
Preview this section ↗
Subsets ↗
Cartesian Products ↗
Test Yourself ↗
Exercise Set 1.2 ↗
1.3
The Language of Relations and Functions
Preview this section ↗
Arrow Diagram of a Relation ↗
Functions ↗
Function Machines ↗
Test Yourself ↗
Exercise Set 1.3 ↗
1.4
The Language of Graphs
Preview this section ↗
Examples of Graphs ↗
Test Yourself ↗
Exercise Set 1.4 ↗
Show more

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