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.
0201558025B04062001
This book, updated and improved, introduces the mathematics that support advanced computer programming and the analysis of algorithms. The book's primary aim is to provide a solid and relevant base of mathematical skills. It is an indispensable text and reference for computer scientists and serious programmers in virtually every discipline.

zlib/Computers/Computer Science/Unknown/具体数学：计算机科学基础（第2版）_17514531.epub

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

Ronald L Graham; Donald Ervin Knuth; Oren Patashnik

Graham, Ronald, Knuth, Donald, Patashnik, Oren

Addison-Wesley Professional

Da Capo Press, Incorporated

Hachette Books

Basic Books

Pearson Education (US), [Place of publication not identified], 1994

2nd ed., [corr. impression, Reading, Mass, 1998, ©1994

2nd ed., Reading, Mass, Massachusetts, 1994

United States, United States of America

Second edition, Reading, Mass, ©1994

2nd ed, Reading, Massachusetts, 1998

Second Edition, US, 1994

Includes bibliographical references (p. 604-631) and index.

Es un libro de texto integral que proporciona una sólida base de principios y técnicas matemáticas necesarias para la programación informática avanzada y el análisis de algoritmos. Escrito por Ronald L. Graham, Donald E. Knuth y Oren Patashnik, este libro abarca una mezcla de matemáticas continuas y discretas para presentar una visión clara de los aspectos relevantes de las matemáticas contemporáneas tal como se aplican a la informática. Los temas incluyen, pero no se limitan a, combinatoria, teoría de números y probabilidad. Es un excelente recurso para cualquier persona que busque profundizar su comprensión de la informática desde una perspectiva matemática.

"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."--from Amazon.com.

2021-10-09