Concrete mathematics : a foundation for computer science by Ronald L Graham; Donald Ervin Knuth; Oren Patashnik

By Ronald L Graham; Donald Ervin Knuth; Oren Patashnik

Show description

Read or Download Concrete mathematics : a foundation for computer science PDF

Similar algorithms books

Methods in Algorithmic Analysis

Explores the influence of the research of Algorithms on Many parts inside and past machine Science
A versatile, interactive educating structure more suitable via a wide choice of examples and exercises

Developed from the author’s personal graduate-level direction, equipment in Algorithmic research provides quite a few theories, options, and techniques used for studying algorithms. It exposes scholars to mathematical recommendations and techniques which are useful and proper to theoretical facets of laptop science.

After introducing simple mathematical and combinatorial tools, the textual content makes a speciality of a variety of points of likelihood, together with finite units, random variables, distributions, Bayes’ theorem, and Chebyshev inequality. It explores the function of recurrences in machine technological know-how, numerical research, engineering, and discrete arithmetic purposes. the writer then describes the strong device of producing capabilities, that is tested in enumeration difficulties, corresponding to probabilistic algorithms, compositions and walls of integers, and shuffling. He additionally discusses the symbolic process, the main of inclusion and exclusion, and its purposes. The e-book is going directly to express how strings may be manipulated and counted, how the finite nation computer and Markov chains may also help clear up probabilistic and combinatorial difficulties, the right way to derive asymptotic effects, and the way convergence and singularities play top roles in deducing asymptotic details from producing capabilities. the ultimate bankruptcy provides the definitions and houses of the mathematical infrastructure had to accommodate producing functions.

Accompanied through greater than 1,000 examples and workouts, this finished, classroom-tested textual content develops students’ knowing of the mathematical method in the back of the research of algorithms. It emphasizes the real relation among non-stop (classical) arithmetic and discrete arithmetic, that is the foundation of desktop technology.

The Art of Computer Programming, Volume 1, Fascicle 1: MMIX -- A RISC Computer for the New Millennium

Eventually, after a wait of greater than thirty-five years, the 1st a part of quantity four is eventually prepared for ebook. try out the boxed set that brings jointly Volumes 1 - 4A in a single based case, and provides the customer a $50 off the cost of paying for the 4 volumes separately.   The artwork of computing device Programming, Volumes 1-4A Boxed Set, 3/e  ISBN: 0321751043    artwork of computing device Programming, quantity 1, Fascicle 1, The: MMIX -- A RISC computing device for the hot Millennium   This multivolume paintings at the research of algorithms has lengthy been well-known because the definitive description of classical computing device technology.

Knowledge Acquisition: Approaches, Algorithms and Applications: Pacific Rim Knowledge Acquisition Workshop, PKAW 2008, Hanoi, Vietnam, December 15-16, 2008, Revised Selected Papers

This publication constitutes the completely refereed post-workshop lawsuits of the 2008 Pacific Rim wisdom Acquisition Workshop, PKAW 2008, held in Hanoi, Vietnam, in December 2008 as a part of tenth Pacific Rim foreign convention on man made Intelligence, PRICAI 2008. The 20 revised papers provided have been conscientiously reviewed and chosen from fifty seven submissions and went via rounds of reviewing and development.

Additional info for Concrete mathematics : a foundation for computer science

Example text

GD,+(n+1)3 = t (k+l)3 = Obk

If the manipulation of the first sum seems mysterious, here it is again in slow motion: 2 x akbk = 2 x x akh l$k$n l

Method 2: Perturb the sum. 25). We extract the first and last terms of q I,,+~ in 44 SUMS order to get an equation for 0,: q ,+(n+l)’ = x (k+l)’ = x (k2+2k+l) O

Download PDF sample

Rated 4.28 of 5 – based on 30 votes