Art of Computer Programming, Volume 4, Fascicle 2: Generating All Tuples and Permutations

Art of Computer Programming, Volume 4, Fascicle 2: Generating All Tuples and Permutations

by Donald E. Knuth
     
 

ISBN-10: 0201853930

ISBN-13: 9780201853933

Pub. Date: 02/15/2005

Publisher: Addison-Wesley

Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually.

The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e

Overview

Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually.

The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e

ISBN: 0321751043

Art of Computer Programming, Volume 4, Fascicle 2, The: Generating All Tuples and Permutations: Generating All Tuples and Permutations

This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The three complete volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth's writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his "cookbook" solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books.

To begin the fourth and later volumes of the set, and to update parts of the existing three, Knuth has created a series of small books called fascicles, which will be published t regular intervals. Each fascicle will encompass a section or more of wholly new or evised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete.

Volume 4, Fascicle 2

This fascicle inaugurates the eagerly awaited publication of Knuth's The Art of Computer Programming, Volume 4: Combinatorial Algorithms. Part of what will be a long chapter on combinatorial searching, the fascicle begins his treatment of how to generate all possibilities. Specifically, it discusses the generation of all n-tuples, then extends those ideas to all permutations. Such algorithms provide a natural motivation by means of which many of the key ideas of combinatorial mathematics can be introduced and explored. In this and other fascicles of Volume 4, Knuth illuminates important theories by discussing related games and puzzles. Even serious programming can be fun.

Product Details

ISBN-13:
9780201853933
Publisher:
Addison-Wesley
Publication date:
02/15/2005
Edition description:
New Edition
Pages:
144
Product dimensions:
6.20(w) x 9.40(h) x 0.60(d)

Table of Contents

Chapter 7: Combinatorial Searching

7.2. Generating All Possibilities 1

7.2.1. Generating Basic Combinatorial Patterns 1

7.2.1.1. Generating all n-tuples 1

7.2.1.2. Generating all permutations 39

Answers to Exercises 76

Index and Glossary 122

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