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Discrete Mathematics and Its Applications (Hardcover)

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Key Phrases: generating functions, recurrence relations, handshake theorem, Writing Project, The Foundations, Advanced Counting Techniques (more...)

3.1 out of 5 stars See all reviews (93 customer reviews)

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Editorial Reviews

Product Description

Discrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, expansive discussion, and detailed exercise sets. These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

About the Author

Kenneth H. Rosen is a Distinguished Member of the Technical Staff at AT&T Laboratories in Middletown, New Jersey. His current assignment involves the assessment of new technology and the creation of new services for AT&T. Dr. Rosen has written several leading textbooks and many articles. Rosen received his Ph.D. from MIT.

Product Details

Hardcover: 896 pages
Publisher: McGraw-Hill Science/Engineering/Math; 5 edition (April 22, 2003)
Language: English
ISBN-10: 0072930330
ISBN-13: 978-0072930337
Product Dimensions: 10.2 x 8.3 x 1.4 inches
Shipping Weight: 4.1 pounds

Average Customer Review: 3.1 out of 5 stars See all reviews (93 customer reviews)

Amazon.com Sales Rank: #569,905 in Books (See Bestsellers in Books)

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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!

Inside This Book (learn more)
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Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generating functions, recurrence relations, handshake theorem, planar graphs, sleepy hare, intransitive verb adverb, main inner loops, generalized pigeonhole principle, bracketed symbols, edge chromatic number, assume the inductive hypothesis, nonisomorphic trees, given recurrence relation, ternary strings, solving recurrence relations, resulting directed graph, symmetric closure, outermost operator, next permutation, computer algebra package, nth month, recursive part, prenex form, writing these essays, decreasing subsequence

Key Phrases - Capitalized Phrases (CAPs): (learn more)
Writing Project, The Foundations, Advanced Counting Techniques, Mathematical Reasoning, New York, The Fundamentals, San Francisco, Modeling Computation, Boolean Algebra, Finite-State Machines, Los Angeles, Term String, Kevin Bacon, Mathematical Reviews, Fundamental Theorem of Arithmetic, Recursive Definitions, Methods of Proof, The Basics of Counting, Step Reason, New Jersey, Closures of Relations, Probability Theory, Kuratowski's Theorem, Applications of Number Theory, Partial Orderings

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Citations (learn more)

This book cites 79 books:

Discrete Mathematics by Wiley on 4 pages
Game of Life by J. John on page 77, and page 362
Discrete Mathematics and Its Applications by Kenneth H. Rosen in Front Matter (1), and Front Matter (2)
An Introduction to the History of Mathematics (Saunders Series) by Howard Eves in Back Matter
Logic Machines and Diagrams by Martin Gardner in Back Matter

See all 79 books this book cites

53 books cite this book:

Handbook of Discrete and Combinatorial Mathematics, Second Edition by Kenneth H. Rosen on 5 pages
Authentication Codes and Combinatorial Designs (Discrete Mathematics and Its Applications) by Dingyi Pei in Front Matter (1), and Front Matter (2)
Computing with Mathematica, Second Edition by Margret H. Hoft on page 307, and page 308
Fundamentals of the Theory of Computation by Raymond Greenlaw on page 15, and Back Matter
Reliability of Computer Systems and Networks: Fault Tolerance, Analysis, and Design by Martin L. Shooman on page 323, and page 380

See all 53 books citing this book

What Do Customers Ultimately Buy After Viewing This Item?

	61% buy the item featured on this page: Discrete Mathematics and Its Applications 3.1 out of 5 stars (93)
	22% buy Discrete Mathematics and Its Applications 2.6 out of 5 stars (24) $143.97
	12% buy Student's Solutions Guide to accompany Discrete Mathematics and Its Applications 2.5 out of 5 stars (4) $48.25
	4% buy Schaum's Outline of Discrete Mathematics, 3rd Ed. (Schaum's Outline Series) 4.3 out of 5 stars (6) $14.78

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Customer Reviews

93 Reviews

5 star:		(36)
4 star:		(9)
3 star:		(6)
2 star:		(16)
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3.1 out of 5 stars (93 customer reviews)

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41 of 46 people found the following review helpful:

4.0 out of 5 stars The best Discrete Math book, but..., January 6, 2001

By	Jonathan D. Decarlo (Thomaston, Connecticut USA) - See all my reviews (REAL NAME)

This review is from: Discrete Mathematics and its Applications (Hardcover)

This is probably the best Discrete Math book that I have found. It's very thorough and covers all the topics of Discrete Mathematics that one would expect it to. There is a proof for most major theorems and numerous examples.

The "but..." is that this book, like almost every math text that I have ever come across, is NOT very readable and gets EXTREMELY boring at parts. I would say that math books can only be so interesting, but I have come across one math text that I honestly enjoyed from beginning to end: "Linear Algebra and Its Applications," by Lay. That book is proof that it can be done, but this book sure isn't.

Also, one last word of advise... I found that the student solutions guide that was written for this text is a must have. It has the worked out solutions to many of the books problems, which is a big help considering that Discrete Math is all about how you found the answer.

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14 of 14 people found the following review helpful:

5.0 out of 5 stars A must have companion to Rosen's book, January 6, 2001

By	Jonathan D. Decarlo (Thomaston, Connecticut USA) - See all my reviews (REAL NAME)

This review is from: Student Solutions Guide for Discrete Mathematics and Its Applications (Paperback)

The other reviewer was obviously talking about "Discrete Math and Its Applications," which is the actual text book. This book is the student solutions guide for that text. So don't buy this book thinking that it is a text book, because this book was only meant to suppliment the text.

I found that this guide was a must have companion to "Discrete Math and Its Applications." It has the worked out solutions to many of the exercises in the text, which is very helpful. All-in-all, a definite must-have suppliment to the text.

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28 of 33 people found the following review helpful:

2.0 out of 5 stars Mediocre book costs a fortune, September 27, 2002

By A Customer

This review is from: Discrete Mathematics and its Applications (Hardcover)

Discrete mathematics is a difficult subject. If God himself wrote the best book there could ever be on Discrete Mathematics, and if God was your professor, believe me, it would still be a hard class. The point is: the subject matter is difficult to grasp and this book does little to help you understand anything.

This book is not very good. Here's why: It does not explain Big-0, Big-Omega, Big Theta and other important topics. The author gives the formal definition, but does NOT provide any worked out solutions from which you can follow and learn. In the back of each section where all the problems are listed, the author introduces NEW material that is VERY important to know. So you have to play "detective" with this book and take a "forensic" approach if you want to learn anything. The book tells you to look a few sections ahead to find a definition that will allow you to solve a problem in the current section. The author uses MANY run-on sentences in the book when trying to explain important concepts. Some sections are good though. The sections on logic and sets are good because they actually HAVE worked out problems that are systematic and don't skip steps.

Why can't you just pick up a book, read it and learn? If that's what you want to do, this book's not for you. If you want to spend hours and hours in the library reading over and over but not learning much, then I suggest you buy this book.

If you are the type of person who learns best by reading a textbook and doing the exercises, don't waste your money on this book because the section on the "Growth of Functions" has NOT ONE example of how to prove if f(x) is O( g(x) ), or if f(x) is big-Omega( g(x) ), or if f(x) is big-Theta( g(x) ), for example. The book has all the formal definitions written down for you, but no problems are worked out algebraically. It does not point out the common pitfalls or anything like that either.

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Most Recent Customer Reviews

4.0 out of 5 stars Great help in a proofs class.
I had this book for a discrete math class about 10 years ago. I'm glad I held onto it. It's been great for a proofs class which uses a completely indecipherable text (A Transition... Read more

Published 1 month ago by John McCormick

1.0 out of 5 stars Took 2 months just to ship
Took two months to ship. It was for a class. Dropped the class two weeks ago. Received the book two days ago! School started about a month ago. Read more

Published 2 months ago by A. Fernandez

3.0 out of 5 stars In chinese?
When I received my book, the front cover was half in chinese and there were excerpts throughout that were also in Chinese. I was very confused. Read more

Published 9 months ago by David Shefchik

5.0 out of 5 stars this amazon listing is not clear whether this is the text or the solutions manual.
This listing is not clear whether the item is the paperback text book or solutions manual. There is a paperback version of this text at my college bookstore. Read more

Published 10 months ago by Michael J. Clark

5.0 out of 5 stars Great Book
I have learned a lot from this book. I understand why some might say that it's hard to follow, but you need to understand, this book is not directed towards people who struggle in... Read more

Published 12 months ago by L. Burton

3.0 out of 5 stars Updating reviews...
December 2007.
I gave 1 out of 5 stars to this book on my previous review based on the fact that many of the problems in the books asked about things never discussed. Read more

Published 14 months ago by Gio Thoang

2.0 out of 5 stars Alright for supplementary work... HORRIBLE as a primary...
I took an accelerated 6 week class on discrete math... and though I've never studied that hard (in my life) the class was very rewarding. Read more

Published 16 months ago by avgvstvs

1.0 out of 5 stars The author is difficult to follow
I would NOT reccoment this text for anyone that is returning to school after being away for any length of time. Read more

Published 18 months ago by second time student

5.0 out of 5 stars Great buy
Purchased for computer science course since it was required. Great price, good book.

Published on March 15, 2007 by N. Hoover

5.0 out of 5 stars A good book
I like this book and use it for teaching my students. As a teacher, you have the opportunity to select similar problems for class activity and homework assignment. Read more

Published on May 19, 2006 by Pavel B. Dubovski

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