Concrete Mathematics: Foundation for Computer Science

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9780201558029: Concrete Mathematics: Foundation for Computer Science
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Book by Graham Ronald L Knuth Donald E Patashnik Oren

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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.

Contraportada:

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.

 

Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP),http://msp.org

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9788131708415: Concrete Mathematics: A Foundation for Computer Science (2nd Edition)

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ISBN 10:  8131708411 ISBN 13:  9788131708415
Verlag: TBS, 1994
Softcover

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Graham, Ronald:
Verlag: Reading, Mass., Addison-Wesley, (1994)
ISBN 10: 0201558025 ISBN 13: 9780201558029
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Buchbeschreibung Reading, Mass., Addison-Wesley, 1994. 2. ed.. 657 Ex-library book in GOOD condition, some treces of use, with stamp and signature. Ehem. Bibliotheksexemplar mit Stempel und Signatur, ein paar Gebrauchsspuren. 0201558025 Sprache: Englisch Gewicht in Gramm: 1100. Artikel-Nr. 716538

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Graham, Ronald L.; Knuth, Donald E.; Patashnik, Oren
Verlag: Addison-Wesley, Upper Saddle River, NJ, USA (1994)
ISBN 10: 0201558025 ISBN 13: 9780201558029
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Buchbeschreibung Addison-Wesley, Upper Saddle River, NJ, USA, 1994. Hardcover. Zustand: Very Good. Hardcover in very good condition. No jacket. Second edition. This printing incorporates the final corrections made in 1998, and a few dozen more. Front upper edge is bumped and nicked. Pages are clean and contents are clear throughout. HCW. Used. Artikel-Nr. 477155

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