Discrete Mathematics with Applications / Edition 4

by Susanna S. Epp

Overview

Susanna Epp's Discrete Mathematics with Applications, Second Edition provides a clear introduction to discrete mathematics. Epp has always been recognized for her lucid, accessible prose that explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. The text is suitable for many course structures, including one-semester or full-year classes. Its emphasis on reasoning provides strong preparation for computer science or more advanced mathematics courses.

Product Details

ISBN-13:	9780495391326
Publisher:	Cengage Learning
Publication date:	08/04/2010
Edition description:	Older Edition
Pages:	984
Product dimensions:	8.20(w) x 10.10(h) x 1.60(d)

About the Author

Susanna S. Epp received her Ph.D. in 1968 from the University of Chicago, taught briefly at Boston University and the University of Illinois at Chicago, and is currently Vincent DePaul Professor Emerita of Mathematical Sciences at DePaul University. After initial research in commutative algebra, she became interested in cognitive issues associated with teaching analytical thinking and proof and published a number of articles related to this topic, one of which was chosen for inclusion in The Best Writing on Mathematics 2012. She has spoken widely on discrete mathematics and organized sessions at national meetings on discrete mathematics instruction. In addition to Discrete Mathematics with Applications and Discrete Mathematics: An Introduction to Mathematical Reasoning, she is co-author of Precalculus and Discrete Mathematics, which was developed as part of the University of Chicago School Mathematics Project. The third edition of Discrete Mathematics with Applications received a Texty Award for Textbook Excellence in June 2005. Epp co-organized an international symposium on teaching logical reasoning, sponsored by the Institute for Discrete Mathematics and Theoretical Computer Science (DIMACS), and she was an associate editor of Mathematics Magazine from 1991 to 2001. Long active in the Mathematical Association of America (MAA), she is a co-author of the curricular guidelines for undergraduate mathematics programs: CUPM Curriculum Guide 2004. She received the Hay Award for Contributions to Mathematics Education in 2005 and the Award for Distinguished Teaching given by the Illinois Section of the MAA in 2010.

Table of Contents

1. The Logic of Compound Statements. 2. The Logic of Quantified Statements. 3. Elementary Number Theory and Methods of Proof. 4. Sequences and Mathematical Induction. 5. Set Theory. 6. Counting. 7. Functions. 8. Recursion. 9. O-Notation and the Efficiency of Algorithms. 10. Relations. 11. Graphs and Trees. Appendix A: Properties of the Real Numbers. Appendix B: Solutions and Hints to Selected Exercises. Index.