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Discrete Mathematics and Its Applications 4th Edition

3.5 out of 5 stars 60 customer reviews
ISBN-13: 978-0072899054
ISBN-10: 0072899050
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Editorial Reviews

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. --This text refers to an out of print or unavailable edition of this title.
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Product Details

  • Hardcover: 824 pages
  • Publisher: William C Brown Pub; 4th edition (December 11, 1998)
  • Language: English
  • ISBN-10: 0072899050
  • ISBN-13: 978-0072899054
  • Product Dimensions: 1.2 x 8.5 x 10.5 inches
  • Shipping Weight: 3.8 pounds
  • Average Customer Review: 3.5 out of 5 stars  See all reviews (60 customer reviews)
  • Amazon Best Sellers Rank: #202,847 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

Format: 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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By A Customer on September 27, 2002
Format: 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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Format: Hardcover
First some background: I'm not a math major or someone with a lot of experience in math. I can't speak about the usefulness or benefit of this book as an introduction to more advanced dicrete math topics because I've never studied anything more advanced. What I can tell you is that I used this book a couple of years ago when I returned to school after 20 years to finish my Bachelor's degree. I found the book useful and quite adequate to learn the basics of the subject, and this book was one of the reasons Discrete became my favorite math class. There is a ton of material packed in between the covers -- mathematics history, biographical sketches, spartan but helpful illustrations, web links, additional book and periodical resources -- everything you need to get through the course and more.
Be warned though -- the first two or three chapters are kind of dry and difficult. Rosen explains things, but he doesn't spoon feed you. There's quite a bit of vocabulary and new ideas to digest; mathematical induction is just plain hard to understand in the beginning and it takes quite a while (and a lot of practice) to learn to construct well-formed proofs. Do yourself a favor and spend the extra money on the solution manual. What you don't understand just by reading the text is usually, though not always, made much clearer by working through the problems while reviewing the answers with the solution process laid out for you. WORK A LOT OF PROBLEMS. You will never really understand the concepts or retain the information without spending hours wrestling with this stuff. This isn't Art Appreciation 101 or Intro to Government. You're not going to grasp everything just by attending class and (maybe) reading the book. You've got to do some real analytical processing and wear out some erasers.
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By A Customer on April 19, 1999
Format: Hardcover
I have used all four editions of Rosen's book with much success with mathematics and computer science students in discrete mathematics courses for over ten years. Discrete mathematics should not be approached as a cookbook subject, and Rosen does not take a cookbook approach to the material in his book. Students are not spoonfed; they need to work carefully through the text. Rosen is very successful in helping students learn to think mathematically. Students who are serious about their study of discrete mathematics and computing will profit greatly from working through many of the more than 650 well-chosen examples and applications, ranging from easy to difficult. The new fourth edition has added many new applications, including system specifications, Web searching, and the reve's puzzle. The exercises (over 3000) are unequaled in any other discrete mathematics textbook --- they range from elementary and routine to very challenging. Answers to odd-numbered problems are in the back of the book. The new accompanying Web site includes over 250 additional exercises with answers; its many features are certainly worth exploring. A very student-friendly Student Solutions Guide provides detailed solutions to the odd-numbered exercises with much additional information on the material and how to approach it. Especially noteworthy is a companion paperback, "Applications of Discrete Mathematics" (McGraw-Hill, 1991) edited by J. Michaels and K. Rosen, consisting of 24 chapters, each devoted to an interesting application of discrete mathematics and well-suited to either classroom coverage or individual reading; some examples are bin packing, coding theory, Catalan numbers, legislative apportionment, network survivability, graph multicoloring.
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