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Discrete Mathematics with Applications, by Susanna S. Epp
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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.
- Sales Rank: #677715 in Books
- Published on: 1996-09-26
- Original language: English
- Number of items: 1
- Dimensions: 10.50" h x 8.50" w x 1.25" l, 5.00 pounds
- Binding: Hardcover
- 828 pages
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 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.
Most helpful customer reviews
127 of 135 people found the following review helpful.
Good Improvements
By B. Goddard
I've taught discrete math from the 3rd Edition of this book at least 6 times, and struggled with several issues. (The textbook for our Discrete Math course is chosen by a committee in our department.) Much of a discrete math course involves looking closely at some very simple mathematics. Most of the mathematics is already known to a typical university freshman; what a set is, what a prime is, what an ordered pair is, etc. Of course they have had little rigor in these elementary topics, but still, they have the notions and vocabulary. The 3rd Edition pretended that sets, e.g., did not exist until one finally arrived at the chapter on sets. It's unnatural to lecture one's way through two chapters on logic and a chapter on techniques of proof, without being able to draw on simple examples from set theory. One gets tired quickly of examples of dogs and cats in highly artificial situations, and would like to say something about primes or the set of even integers.
The 4th Edition corrects this problem by the addition of an introductory chapter which fixes the vocabulary and notation. This was a needed change. The 3rd Edition required considerable acrobatics in avoiding words like "is an element of" until Chapter 5 (Set Theory.) Really? I'm supposed to cover the proof technique of "division into cases" and I can't say "the set of integers of the form 4k+1?" So good change.
Every semester, I get e-mails from my students asking if the previous edition of the text will suffice for my course. Usually, I say yes. In the case of my discrete math course, I'll have to say no. The modifications of this text are substantial. Besides the above, the old Chapter 8 (Recursion) is now incorporated into the new (much expanded) Chapter 5 (Sequences and Induction.) That is also a sensible change.
My remaining complain about the text is that it's a bit condescending. I think it's bad form to always present mathematics apologetically. "There, there now, I know it's difficult, but we'll go extremely slowly and take tiny, tiny bites covered in catsup so you can scarcely taste them." There's no need for us at the university level to re-enforce the bad attitudes the students learned in high school. It's math. It's hard. You can do it, not because math is made easy, but because you are, in fact, clever enough.
I would not have recommended the 3rd Edition to anyone, but I would recommend the 4th. I'm very happy with the changes.
0 of 0 people found the following review helpful.
Computer science students should be exposed to discrete mathematic like one presented in this book asap!
By Duc-Anh
This book brings a broad range of mathematic subjects - set theory, logic, how to write proof, induction proof, basic number theory, algorithm complexity and so on - that will benefit computer science students. Knowledge is broad but deep enough for ones to understand algorithm proof writing found in other algorithm books and certain mathematic concepts (which you may find it helpful/motivating later if deciding to have a look at/self-study some pure mathematic).
23 of 23 people found the following review helpful.
Before you buy
By Malfal
Hello all,
Just like many reviewers, I give this book 5 stars, why? First of all I am a senior
majoring CSE and I hate all college text books. This book is an exception. The first three chapters is introduction to logics nothing much. From chapter four on the good stuff starts, induction, set theory, recursion, representations, and more. The book has lots of examples and exercises, also the answers to selected exercise are on the back of the book, (not just answers also the work). Above all this book is really good but before you buy it hear this:
/***********************************************************************************
I wouldn't recommend that you buy this book why? Because the second edition
is same as this book, the only difference is the cover Image and the exercise
problems. So copy the homework problems from the copy at your college's library
and use the second edition as a reference. Also the second edition costs only $5.0
or less
**********************************************************************************/
Thank you and good luck
cheers
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