Discrete Mathematics
Mathematical Reasoning and Proof with Puzzles, Patterns, and Games
1. Auflage November 2005
704 Seiten, Hardcover
Wiley & Sons Ltd
Kurzbeschreibung
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.
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.
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.
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.