Discrete Mathematics with Applications

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Cengage Learning, Aug 4, 2010 - Mathematics - 984 pages
3 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.
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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

User Review - Flag as inappropriate

Sorry, the I do not agree with the other reviews. This is a very confusing book and expensive! The examples are given with steps skipped, the sections give basic, very basic, examples and the exercises are very in depth with little explanation, making this a very frustrating semester for me!! The author clearly knows her subject, but maybe to well. When I spend this much on a text book, I expect it to be clear and understandable with the outcome that I actually learned something! I have learned very little and am very angry at one paying for a professor who selected this book and two paying the hefty price the publisher asks for this book! 

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

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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.

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