**AMS/MAA Textbooks**

Volume: 41;
2018;
388 pp;
Hardcover

MSC: Primary 97;

**Print ISBN: 978-1-4704-4696-3
Product Code: TEXT/41**

List Price: $75.00

AMS Member Price: $56.25

MAA Member Price: $56.25

**Electronic ISBN: 978-1-4704-4912-4
Product Code: TEXT/41.E**

List Price: $75.00

AMS Member Price: $56.25

MAA Member Price: $56.25

#### Supplemental Materials

# Journey into Discrete Mathematics

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*Owen D. Byer; Deirdre L. Smeltzer; Kenneth L. Wantz*

MAA Press: An Imprint of the American Mathematical Society

Journey into Discrete Mathematics is designed for use in a
first course in mathematical abstraction for early-career
undergraduate mathematics majors. The important ideas of discrete
mathematics are included—logic, sets, proof writing, relations,
counting, number theory, and graph theory—in a manner that promotes
development of a mathematical mindset and prepares students for
further study. While the treatment is designed to prepare the
student reader for the mathematics major, the book remains attractive
and appealing to students of computer science and other
problem-solving disciplines.

The exposition is exquisite and engaging and features detailed
descriptions of the thought processes that one might follow to attack
the problems of mathematics. The problems are appealing and vary
widely in depth and difficulty. Careful design of the book helps the
student reader learn to think like a mathematician through the
exposition and the problems provided. Several of the core topics,
including counting, number theory, and graph theory, are visited
twice: once in an introductory manner and then again in a later
chapter with more advanced concepts and with a deeper perspective.

Owen D. Byer and Deirdre L. Smeltzer are both Professors of
Mathematics at Eastern Mennonite University. Kenneth L. Wantz is
Professor of Mathematics at Regent University. Collectively the
authors have specialized expertise and research publications ranging
widely over discrete mathematics and have over fifty semesters of
combined experience in teaching this subject.

An instructor's manual for this title is available electronically
to those instructors who have adopted the textbook for classroom use.
Please send email to textbooks@ams.org for more
information.

#### Readership

Undergraduate students interested in discrete mathematics and computer science.

#### Table of Contents

# Table of Contents

## Journey into Discrete Mathematics

- Cover i1
- Title page ii2
- Copyright iii3
- Contents iv4
- Preface viii8
- Chapter 1. Convince Me! 114
- Chapter 2. Mini-Theories 922
- Chapter 3. Logic and Sets 3144
- Chapter 4. Logic and Proof 6780
- Chapter 5. Relations and Functions 101114
- Chapter 6. Induction 133146
- Chapter 7. Number Theory 155168
- Chapter 8. Counting 183196
- Chapter 9. Graph Theory 211224
- Chapter 10. Invariants and Monovariants 253266
- Chapter 11. Topics in Counting 267280
- Chapter 12. Topics in Number Theory 299312
- Chapter 13. Topics in Graph Theory 327340
- Hints 355368
- List of Names 381394
- Bibliography 383396
- Index 385398
- Back Cover 389402