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Discrete Mathematics with Applications, by Susanna S. Epp
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Susanna Epp's DISCRETE MATHEMATICS, THIRD 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.
- Sales Rank: #127682 in Books
- Brand: Cengage Learning
- Published on: 2003-12-22
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 1.31" h x 8.04" w x 10.36" l, 3.87 pounds
- Binding: Hardcover
- 928 pages
- Used Book in Good Condition
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
115 of 117 people found the following review helpful.
Comparison of the top 3 Discrete Math Texts
By Michael Yasumoto
I have read "Discrete Mathematics" by Epp, Rosen and Ross which are the three most common discrete math texts that I encounter at university.
Of these three, I would rate Epp's book as my favorite because it has the clearest explanations and is so easy to read that you can't help but feel like you understand all of the content completely. The only failing that Epp's book might have is that it is not as thorough in its coverage of the material as some of the more technical books. I would say that it covers about 90% of the material and leaves out some of the more obscure topics.
Rosen's book would be the most thorough, covering every topic in meticulous detail and offering a jumping point for other texts in cryptography and number theory. Although this book is more complete than Epp's, it is also less readable and requires more effort to get through. Ideally you would use Epp's book to learn the material and then go to Rosen's book for a technical reference.
For those of you who are considering Ross's book, I have one thing to say and that is don't. Although I have read this book and done a lot of the problems in the first 3/4 of the text, this book is neither clear in its explanations like Epp nor is it as complete as Rosen's book. If you are assigned this book for a course, my suggestion would be to buy Epp's book and photocopy the Ross homework problems from a friend's textbook.
Take the advice of someone who has read all three books. If you have to buy just one, then get the Epp book. It is better to understand 90% of the material completely rather than 100% of the material partially.
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).
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