Discrete Mathematics : Mathematical Reasoning and Proof with Puzzles, Patterns, and Games

by Ensley, Douglas E.; Crawley, J. Winston

• ISBN13: 9780471476023
• ISBN10: 0471476021
• eBook ISBN(s): 9781118090893
• Edition: 1st
• Format: Hardcover
• Copyright: 2005-10-07
• Publisher: WILEY
• More Book Details

Summary

Based on the ACM guidelines, Discrete Mathematics will help readers master and apply the central topics of discrete math. As they progress through the early chapters, they'll quickly learn how to think and write about mathematics. The book then explores abstract mathematics, providing a detailed look at sets and functions. Readers will also find in-depth discussions on probabilities and their applications to games of chance. And they'll discover the basic techniques of graph theory and how to apply them using puzzles and games.

Author Biography

Doug Ensley is a full professor at Shippenshburg University with a Ph.D. from Carnegie Mellon.  He is an active participant in national and regional committees determining the future of the discrete math curriculum, and he regularly speaks at Joint Math and MathFest.

Winston Crawley is a full professor and chair of the math department at Shippensburg University.  He has a Ph.D. from University of Tennessee-Knoxville.  Crawley developed the undergraduate computer science curriculum at Shippensburg.

Table of Contents

How to Use this Book.

Preface for Students.

1. Puzzles, Patterns, and Mathematical Language.

2. A Primer of Mathematical Writing.

3. Sets and Boolean Algebra.

4. Functions and Relations.

5. Combinatorics.

6. Probability.

7. Graphs and Trees.

Appendix A: Rules of the Game.

Appendix B: Matrices and Their Operations.

References.

Index.

Selected Solutions.