Concrete Mathematics: A Foundation for Computer Science
- ISBN-10
- 0134389980
- ISBN-13
- 9780134389981
- Series
- Concrete Mathematics
- Category
- Computers
- Pages
- 811
- Language
- English
- Published
- 1994-02-28
- Publisher
- Addison-Wesley Professional
- Authors
- Donald E. Knuth, Ronald L. Graham, Oren Patashnik
Description
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.
Get the book
Other editions
-
- 1994
- 642 pages
- Paperback
- Pearson Education India
Similar books
-
Family History Digital Libraries
By William Sims BainbridgeOne named Sara and Timberlake had 11 male workers, 1 female worker, and 4 children workers, so it might have employed the Minor family.
-
Foundation Dreamweaver MX
By Craig Grannell, Jerome Turner, Matt StephensSo here's what we need to do to arrive at our layout: s Create the main table to hold all the page elements. s Deal with the navigation area which is ...
-
Cisco CCNA Certification, 2 Volume Set: Exam 200-301
By Todd LammleThis inclusive, two-book set provides what you need to know to succeed on the new CCNA exam. The set includes Understanding Cisco Networking Technologies: Volume 1 and the CCNA Certification Study Guide: Volume 2.
-
CompTIA Network+ Study Guide: Exam N10-006
By Todd Lammle... you can use: –a –A –c –n –r –R –S –s All nbtstat switches are case sensitive. Generally speaking, lowercase switches deal with NetBIOS names of hosts, ...
-
CompTIA Network+ Study Guide with Online Labs: N10-007 Exam
By Todd Lammle, Jon Buhagiar... you can use: –a –A –c –n –r –R –S –s All nbtstat switches are case sensitive. Generally speaking, lowercase switches deal with NetBIOS names of hosts, ...
-
CCNA: Cisco Certified Network Associate FastPass
By Todd LammleS The S reference point defines the point between the customer router and an ... with the letter E deal with using ISDN on the existing telephone network.
-
Stranger in the Chat Room
By Todd Hafer, Jedd HaferA sequel to In the Chat Room With God finds a group of teens contacted by a mysterious and increasingly malevolent character who claims to know about their encounters with the Almighty and challenges their beliefs. Original.
-
Error Correction Coding: Mathematical Methods and Algorithms
By Todd K. MoonM M−1∑ k=0 −∞ ∞ k=0 The average energy per signal E s ∫ can be related to the ... we will deal primarily with additive white Gaussian noise (AWGN), ...
-
Security+ Training Guide
By Todd King... to deal with most , but unfortunately not all , of these potential threats . ... The S / MIME standard implements encryption for message content using ...
-
CCDA: Cisco Certified Design Associate Study Guide: Exam 640-861
By Todd Lammle, Andy BarklS reference point The S reference point defines the reference point between ... with the letter E deal with using ISDN on the existing telephone network.