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

4.6 4.6 out of 5 stars 217 ratings

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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

Ronald L. Graham (1935–2020) was for many years the Chief Scientist at AT&T Labs Research. He was also a Professor of Computer and Information Science at the University of California, San Diego, and a former President of the American Mathematical Society and the Mathematical Association of America. He was the coauthor of seven other mathematics books.

Donald E. Knuth is Professor Emeritus of The Art of Computer Programming at Stanford University. His prolific writings include four volumes on The Art of Computer Programming, and five books related to his TEX and METAFONT typesetting systems.

Oren Patashnik is a member of the research staff at the Center for Communications Research, La Jolla, California. He is also the author of BibTEX, a widely used bibliography processor.

Product details

  • Publisher ‏ : ‎ Addison-Wesley Professional; 2nd edition (February 28, 1994)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 672 pages
  • ISBN-10 ‏ : ‎ 0201558025
  • ISBN-13 ‏ : ‎ 978-0201558029
  • Item Weight ‏ : ‎ 2.65 pounds
  • Dimensions ‏ : ‎ 9.38 x 7.82 x 1.44 inches
  • Customer Reviews:
    4.6 4.6 out of 5 stars 217 ratings

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Customer reviews

4.6 out of 5 stars
4.6 out of 5
217 global ratings

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Top reviews from other countries

ジャージー
5.0 out of 5 stars 整数論が好きになる本
Reviewed in Japan 🇯🇵 on December 2, 2017
6 people found this helpful
Report
ult
1.0 out of 5 stars Kindle版は購入してはいけない
Reviewed in Japan 🇯🇵 on July 11, 2018
Customer image
ult
1.0 out of 5 stars Kindle版は購入してはいけない
Reviewed in Japan 🇯🇵 on July 11, 2018
大量の誤字脱字、数式はめちゃくちゃ、図は全て欠落、レイアウトも酷い。Kindle版は最低です。
クヌース先生は自身のWebサイトで、The Art of Computer Programming のKindle版は購入しない
ようにと呼びかけていますが、この本にも同じことが言えると思います。
写真はKindle版と同じ部分のPDF版です。写真は1ページですが、全ページ通してこの調子です。
本来は表になっている部分も横並びの行の項目がレイアウトが縦並びにくずれているし、
欄外に書かれたコメントも本文とごちゃ混ぜになっています。
写真とは別ページですが、クヌース先生の本で有名な
「最初に間違いを見つけた人に$2.56進呈します」
という一文は、
"A reward of $ 2.56 will gratefully be paid to the rst nder of any error, ..."
となっていて rst や nder という謎の単語が出てきます。
find や finder の "fi"の文字が欠落しているのですが、これも全ページにまたがっています。
TeXで合字処理される文字の並びが正しくKindle用に変換されていないものと思われます。
PDFなどの電子データをコピペだけして作成したデータで、スペルチェッカーすら通さずに
販売しているのでしょう。
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19 people found this helpful
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Conor Fairclough
5.0 out of 5 stars Many fun but difficult excercises, weak explanations
Reviewed in the United Kingdom 🇬🇧 on December 31, 2021
One person found this helpful
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Damian Griffiths
3.0 out of 5 stars A Great book but no easy read.
Reviewed in the United Kingdom 🇬🇧 on August 30, 2018
3 people found this helpful
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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
3 people found this helpful
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