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Discrete Mathematics and Its Applications 5th Edition

2.9 out of 5 stars 33 customer reviews
ISBN-13: 978-0072930337
ISBN-10: 0072930330
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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: 8.2 x 1.4 x 10.1 inches
  • Shipping Weight: 4.1 pounds
  • Average Customer Review: 2.9 out of 5 stars  See all reviews (33 customer reviews)
  • Amazon Best Sellers Rank: #1,115,269 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

15 of 17 people found the following review helpful By Charles Ashbacher HALL OF FAMETOP 500 REVIEWERVINE VOICE on March 2, 2005
Format: Hardcover
Textbooks for discrete mathematics define a broad spectrum in terms of the level of difficulty. At the lower end, there are the books that present the theorems, but rarely if ever include a proof. Then, armed with the theorem, it goes on to apply the theorem to solve the appropriate problems. At the higher end, there are the books that follow the theorem-proof design, with a smaller number of applications. This one is at the higher end; there are very few theorems that are not proven.

Following the trend in computer science, the breadth of coverage in discrete mathematics has also increased over the years. This is reflected in the size of the book, the text section, without appendices, solutions and index is almost eight hundred pages. The coverage is complete, and it starts exactly where it should, with logic, basic set theory and functions. After that, there is a chapter on algorithms and matrices, one on proof strategies with induction and recursion, three chapters covering counting principles and discrete probability, and ending with chapters on relations, graphs, trees, Boolean algebra and modeling computation.

The explanations are sound, although the mathematical depth is a bit on the high end, which no doubt explains some of the very negative reviews. There are many exercises at the end of the sections and solutions to the odds are included in an appendix. In my opinion, this is an absolute necessity, I will not even consider a book that doesn't include the solutions to many of the problems. At the end of each chapter there is a set of supplementary exercises, a list of projects to be solved by writing a computer program and a list of suggested writing projects.

What I liked most about the book has nothing to do with the discrete mathematics.
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14 of 17 people found the following review helpful By A Customer on April 22, 2003
Format: Hardcover
This is a pretty standard college math book. This book has its good parts and its bad parts (mostly bad parts). Some important stuff is hidden away in the questions to the sections, like the definition of "disjunctive normal form". And even then, it doesn't explain what it means clearly (luckly the teacher explained it in English). I think this book covers way too much in so little space. If you think the page count is large, you probably don't own the book. I think there should be at least twice the amount of pages for the amount of stuff it tries to cram in. The sections are hard to read and some of the proofs are hard to understand (if they prove anything at all). There are absolutely no derivations either, it's all proofs at the most. Also, there are too few examples and many of the questions are very difficult compared to the examples they give in the chapter. Speaking of examples, they don't really explain why, they just explain how. This is especially apparent in the counting and the probability theory chapters. My favorite has to be the examples in the counting chapter where they just say what is done in English and directly convert what they just said in English to a formula. I'd rather have an explaination of why they did what they did than have a formula translated directly to English.
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11 of 13 people found the following review helpful By Nobody's Business on March 29, 2005
Format: Hardcover
The text itself is brief, but still a good overview of discrete mathematics. The main problem is the student and instructor guides. The answers frequently have errors and problems are not reiterated in the text, so a student or a grader has to flip back and forth between at least two books to make sense of the solutions. Even more frustrating for students is the fact that some problems do not have good answers: the author admits that he cannot solve the problem and refers to answers from other problems instead. This is simply not fair to students who may be struggling with the material.

As a teaching assistant, it is not up to me to select the text books. If it were, I would look for a replacement.
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21 of 28 people found the following review helpful By A Customer on February 25, 2004
Format: Hardcover
On the surface this seems like a great book - all of the topics in a Discrete Mathematics course are covered, the information is cleanly laid out, and the quality of the binding is excellent. At closer observation, though, this book has some serious flaws that should keep it from being considered from any universitie's curriculum.
Discrete math should be the class that introduces students to the beauty that can be found in math through proofs. Proofs are the foundation of mathematics and - especailly in an introductory text - should be comprehensive. This book leaves out important steps in a good deal of the proofs, making the proofs themselves hard to read. This should be an easy, clear class for anyone intrested in math. If you are struggling, you owe it to yourself to find a real text on proofs to see what mathematical beauty really is.
My advise is - if you have to use this text - buy a good book on proofs and another good book on number theory. There are plenty on Amazon.
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10 of 13 people found the following review helpful By Bookworm on September 14, 2004
Format: Hardcover
Attention, students! Don't be fooled by those words like "best book in the field", "unrivaled content."

This book contains lots of examples but NONE of them is interesting. Really. The explanations are too vague. Mr Rosen must be thinking that an "obvious" example needs no further explanation.

I've read a few math books and found a lot of fascinating applications but the applications in this book are just too theoretical rather than practical.

The stuff about Logic (the very beginning section) is more confusing than really useful, especially the section about how to translate between English sentences and mathematical statements.

I believe there are much better books out there. Before you buy this book, think carefully.
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