Concrete Mathematics: A Foundation for Computer Science (2nd Edition) 2nd Edition

4.4 out of 5 stars 105 ratings
ISBN-13: 978-0201558029
ISBN-10: 0201558025
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Frequently bought together

  • Concrete Mathematics: A Foundation for Computer Science (2nd Edition)
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  • The Art of Computer Programming, Volumes 1-4A Boxed Set
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  • Introduction to Algorithms, 3rd Edition (The MIT Press)
Total price: $350.91
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Editorial Reviews

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:

  • Sums
  • Recurrences
  • 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.




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4.4 out of 5 stars
4.4 out of 5
105 customer ratings
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Reviewed in the United States on June 17, 2018
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Top international reviews

Damian Griffiths
3.0 out of 5 stars A Great book but no easy read.
Reviewed in the United Kingdom on August 30, 2018
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Anthony Lauder
5.0 out of 5 stars One of the finest computer science books ever written
Reviewed in the United Kingdom on September 25, 2015
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JPW
5.0 out of 5 stars Five Stars
Reviewed in the United Kingdom on August 21, 2016
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A Customer
5.0 out of 5 stars Fantastic
Reviewed in the United Kingdom on December 16, 2014
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José Oriol Valentín-Fernández Gallart
5.0 out of 5 stars enjoy maths wonderfully explained
Reviewed in the United Kingdom on February 5, 2017
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Amazon Customer
5.0 out of 5 stars but great reference work
Reviewed in the United Kingdom on October 11, 2015
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joe rayner
5.0 out of 5 stars Very well written, in a friendly style.
Reviewed in the United Kingdom on September 14, 2013
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paul fairweather
5.0 out of 5 stars Five Stars
Reviewed in the United Kingdom on January 6, 2015
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Dr. T.
5.0 out of 5 stars Ein exzellentes Grundlagen Werk und Genuss.
Reviewed in Germany on October 5, 2014
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K. K Slider
5.0 out of 5 stars A book sent from Legends in Computer Science
Reviewed in Canada on January 20, 2016
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Henning Schulz
1.0 out of 5 stars eBook = Miese Abschrift
Reviewed in Germany on March 22, 2018
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Roman
5.0 out of 5 stars Excellent book for aspiring computer scientists
Reviewed in Canada on September 15, 2013
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Alan
5.0 out of 5 stars Podría simplificarse
Reviewed in Mexico on October 14, 2019
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AmazonCustomer99
5.0 out of 5 stars Great Bokk
Reviewed in India on May 1, 2019
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Claudio
5.0 out of 5 stars Knuth giganteggia
Reviewed in Italy on December 29, 2012
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