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Concrete Mathematics:

Foundation for Computer Science
Przednia okładka
17 Recenzje
Addison-Wesley, 1994 - 657

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.



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Review: Concrete Mathematics: A Foundation for Computer Science

Recenzja użytkownika  - Jamie - Goodreads

A classic. May be useful to me someday. Przeczytaj pełną recenzję

Review: Concrete Mathematics: A Foundation for Computer Science

Recenzja użytkownika - Goodreads

I had the great fortune to take this course at Stanford from Ron Graham, with Oren Patashnik as my TA, and we used Don Knuth's "Art Of Computer Programming: Vol. 1 - Fundamental Algorithms" as our ...

Wszystkie recenzje 7 »

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Spis treści

Recurrent Problems
1
Sums
21
Integer Functions
67
Prawa autorskie

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Inne wydania - Wyświetl wszystko

Concrete mathematics: a foundation for computer science
Concrete mathematics: a foundation for computer science
Ronald L. Graham,Donald Ervin Knuth,Oren Patashnik
Widok krótkiego opisu - 1994
Concrete mathematics: a foundation for computer science
Concrete mathematics: a foundation for computer science
Ronald L. Graham,Donald Ervin Knuth,Oren Patashnik
Widok krótkiego opisu - 1989
Concrete mathematics: a foundation for computer science
Concrete mathematics: a foundation for computer science
Ronald L. Graham,Donald Ervin Knuth,Oren Patashnik
Widok krótkiego opisu - 1989
Wyświetl wszystko »

Kluczowe wyrazy i wyrażenia

algorithm answer approximation asymptotic Bernoulli numbers binomial coefficients binomial theorem calculations Chapter closed form coefficient of zn complex numbers compute Concrete Mathematics constant converges convolution defined denominator derivation distribution divides dominoes equal equation Euclid's algorithm Euler's summation formula evaluate example exercise factor Fibonacci numbers Find a closed finite follows fraction gives Gosper's harmonic numbers hence Hint hypergeometric terms identity induction infinite sum look mathematics mean and variance method multiple multiset negative Newton series nonnegative integer nonzero notation parameters Pascal's triangle permutation polynomial positive integer power series Pr(X prime probability probability generating function probability space problem proof prove random variable rational function real numbers recurrence replace sequence solution solve Stern-Brocot Stern-Brocot tree Stirling numbers Stirling's approximation Table term ratio there's upper index zero

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Odniesienia ze stron internetowych

Graham, Knuth, and Patashnik: Concrete Mathematics
by Ronald L. Graham, Donald E. Knuth, and Oren Patashnik (Reading, Massachusetts: Addison-Wesley, 1994), xiii+657pp. ISBN 0-201-55802-5 ...
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Concrete Mathematics - Wikipedia, the free encyclopedia
Concrete Mathematics: A Foundation for Computer Science, by Ronald Graham, Donald Knuth, and Oren Patashnik, is a perennial textbook in university computer ...
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JSTOR: Concrete Mathematics: A Foundation for Computer Science.
1991] REVIEWS 779 Concrete Mathematics: A Foundation for Computer Science. By Ronald Lewis Graham, Donald Ervin Knuth, and Oren Patashnik, Addison-Wesley, ...
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CONCRETE MATHEMATICS: A Foundation for Computer Science 2nd ed by Ronald L. Graham, Donald Ervin Knuth, and Oren Patashnik. Addison-Wesley Publishing Co. ...
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Concrete Mathematics: A Foundation for Computer Science, Graham, Ronald L. Graham, Hardcover, REV, 2, Book, ISBN: 0201558025, Science, Computers - General ...
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Addison-Wesley (E) - Concrete Mathematics:A Foundation for ...
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Informacje o autorze (1994)

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.



Informacje bibliograficzne

QR code for Concrete Mathematics
TytułConcrete Mathematics: Foundation for Computer Science
A foundation for computer science
AutorzyRONALD L AUTOR GRAHAM, DONALD E AUTOR KNUTH, Oren Patashnik
Wydanie2, ilustrowane, reprint
WydawcaAddison-Wesley, 1994
W formie oryginalnejUniwersytet Michigan
W formie cyfrowej15 Lis 2007
ISBN0201558025, 9780201558029
Liczba stron657
  
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