- Hardcover: 672 pages
- Publisher: Addison-Wesley Professional; 2 edition (March 10, 1994)
- Language: English
- ISBN-10: 0201558025
- ISBN-13: 978-0201558029
- Product Dimensions: 7.6 x 1.6 x 9.4 inches
- Shipping Weight: 3 pounds (View shipping rates and policies)
- Average Customer Review: 62 customer reviews
- Amazon Best Sellers Rank: #79,761 in Books (See Top 100 in Books)
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Concrete Mathematics: A Foundation for Computer Science (2nd Edition) 2nd Edition
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From the Back Cover
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline.
Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study.
Major topics include:
- Integer functions
- Elementary number theory
- Binomial coefficients
- Generating functions
- Discrete probability
- Asymptotic methods
This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
About the Author
Donald E. Knuth is known throughout the world for his pioneering work on algorithms and programming techniques, for his invention of the Tex and Metafont systems for computer typesetting, and for his prolific and influential writing. Professor Emeritus of The Art of Computer Programming at Stanford University, he currently devotes full time to the completion of these fascicles and the seven volumes to which they belong.
Top customer reviews
The book is great for self -study. As with TAOCP, problems are graded. Solutions exist to all problems - except research ones- but trying to solve them yourself will be the best way to use this book.
Overall, worth every penny. A classic reference and must have.
Graham, Patashnik and Knuth have done great job. Thank you guys!
It's extremely dense, which is great for me because I will keep learning from it for months or years to come.
If you're relatively new to the subject, like me, a lot of this book won't be easy to comprehend the first time around, however with determination and online resources for help, you can get through it.
Even without online resources, if you keep going when you don't understand something, and try to work out the examples on paper, you will get far.
After studying this book for a while, go back to the sections that you missed the first time and they should make more sense.
Try as many of the exercises as you can, some are very difficult, but others can be accomplished the first time around.
This book is not for the faint of heart. If you aren't using it for a class, it will take a lot of dedication to make it through. That said, it's one of the best resources for learning discrete and continuous mathematics that relate to computer science.
A great precursor to many of the great algorithm books.
Most recent customer reviews
This book is for entertainment.
Very good book.