Discrete Mathematics with Applications

Front Cover
Cengage Learning, Aug 4, 2010 - Mathematics - 984 pages
6 Reviews
Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp 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. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses.
Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
  

What people are saying - Write a review

User ratings

5 stars
3
4 stars
1
3 stars
1
2 stars
0
1 star
1

LibraryThing Review

User Review  - TheNinthwave - LibraryThing

I found the layout to be confusing and the examples and explanations to be thin, what was not covered in the course was hard to glean directly from the book. This book should have included more of the ... Read full review

Review: Discrete Mathematics with Applications

User Review  - Saad - Goodreads

Best book on discrete math. Learnt a lot! Will also come handy for reference. Read full review

Contents

SPEAKING MATHEMATICALLY
1
THE LOGIC OF COMPOUND STATEMENTS
23
THE LOGIC OF QUANTIFIED STATEMENTS
96
ELEMENTARY NUMBER THEORY AND METHODS OF PROOF
145
SEQUENCES MATHEMATICAL INDUCTION AND RECURSION
227
SET THEORY
336
FUNCTIONS
383
RELATIONS
442
GRAPHS AND TREES
625
ANALYSIS OF ALGORITHM EFFICIENCY
717
REGULAR EXPRESSIONS AND FINITESTATE AUTOMATA
779
PROPERTIES OF THE REAL NUMBERS
A-1
SOLUTIONS AND HINTS TO SELECTED EXERCISES
A-4
INDEX
I-1
CREDITS
I-20
Copyright

COUNTING AND PROBABILITY
516

Common terms and phrases

About the author (2010)

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 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 has published a number of articles and given many talks related to this topic. She has also spoken widely on discrete mathematics and has 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. 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.

Bibliographic information