Concrete Mathematics

A Foundation for Computer Science

Ronald Graham, Donald Knuth, Oren Patashnik

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English

Addison Wesley
28 February 1994

Mathematics & Sciences; Mathematics; Mathematical theory of computation

"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"

By: Ronald Graham, Donald Knuth, Oren Patashnik
Imprint: Addison Wesley
Country of Publication: United Kingdom
Edition: 2nd Revised edition
Dimensions: Height: 244mm, Width: 201mm, Spine: 38mm
Weight: 1.200kg
ISBN: 9780201558029
ISBN 10: 0201558025
Pages: 672
Publication Date: 28 February 1994
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

1. Recurrent Problems. 2. Sums. 3. Integer Functions. 4. Number Theory. 5. Binomial Coefficients. 6. Special Numbers. 7. Generating Functions. 8. Discrete Probability. 9. Asymptotics. A. Answers to Exercises. B. Bibliography. C. Credits for Exercises. Index.

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.