WILEY

KNOWLEDGE FOR GENERATIONS

WILEY - KNOWLEDGE FOR GENERATIONS

United States Change Location

cart.gif CART |  MY ACCOUNT |  CONTACT US |  HELP    
Wiley.com
Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games (EHEP000485) cover image
Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games
Douglas E. Ensley (Shippensburg Univ. ), J. Winston Crawley (Shippensburg Univ. )
October 2005, ©2006

  • Overview
  • Resources for Instructors
  • Resources for Students
These active and well-known authors have come together to create a fresh, innovative, and timely approach to Discrete Math.  One innovation uses several major threads to help weave core topics into a cohesive whole.  Throughout the book the application of mathematical reasoning is emphasized to solve problems while the authors guide the student in thinking about, reading, and writing proofs in a wide variety of contexts.  Another important content thread, as the sub-title implies, is the focus on mathematical puzzles, games and magic tricks to engage students.
Table of Contents
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.

Selected Answers and Hints.

References and Further Reading.

Index.

 

Author Information
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.

Hallmark Features
-Text is replete with “real world excursions” reinforcing the utility of discrete mathematics. 
-Online applications help improve students’ mathematical reasoning with intriguing, interactive flash-based applications which illustrate key mathematical concepts and help develop students’ ability to reason mathematically, solve problems and work with proofs.  Explore More Icons in the text direct the student to online activities at www.wiley.com/college/ensley.
- Every section contains a number of practice problems and at the conclusion of each chapter a section review outlines the major terms, concepts and skills covered in that chapter.
-Over 1,000 exercises ranging from routine reinforcement to conceptual challenges. 
-Appendices on basic matrix operations as well as an appendix explaining the basic rules and terminology for many of the games used for examples in the book. 
-Answers and hints are given in the back of the book and more detailed solutions to those exercises are found in a supplementary student solutions manual. 
 
Professor Reviews
"I like the book's approach to Discrete Math - consider it a set of puzzles we have to solve. This makes a supposedly "dry" subject quite interesting."

 -Saurabh Bagchi, Purdue University

Available Versions

Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games
by Douglas E. Ensley, J. Winston Crawley
ISBN 978-0-471-47602-3
October 2005, ©2006
Hardcover, 704 pages
US $183.95 Add to Cart
Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games, Desktop Edition
by Douglas E. Ensley, J. Winston Crawley
ISBN 978-1-1180-9089-3
June 2011, ©2011
E-Book: Wiley Desktop Edition
Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games, Textbook and Student Solutions Manual
by Douglas E. Ensley, J. Winston Crawley
ISBN 978-0-470-08642-1
May 2006, ©2006
Hardcover
US $231.95 Add to Cart
Share This    Printer-ready version