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

ISBN-13: 9780471476023 / Angielski / Twarda / 2005 / 704 str.

Doug Ensley; J. Winston Crawley; Douglas E. Ensley

Opis

Did you know that games and puzzles have given birth to many of today's deepest mathematical subjects? Now, with Douglas Ensley and Winston Crawley's Introduction to Discrete Mathematics, you can explore mathematical writing, abstract structures, counting, discrete probability, and graph theory, through games, puzzles, patterns, magic tricks, and real-world problems. You will discover how new mathematical topics can be applied to everyday situations, learn how to work with proofs, and develop your problem-solving skills along the way.

Online applications help improve your mathematical reasoning.
Highly intriguing, interactive Flash-based applications illustrate key mathematical concepts and help you develop your ability to reason mathematically, solve problems, and work with proofs. Explore More icons in the text direct you to online activities at www.wiley.com/college/ensley.

Improve your grade with the Student Solutions Manual.
A supplementary Student Solutions Manual contains more detailed solutions to selected exercises in the text.

Spis treści

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.

 

O autorze

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.