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'sThe 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.
Networks of workstations, 267, 390. Neumann, John von (= Margittai Neumann János), 8, 159, 385. Newcomb, Simon, 42, 45. Newell, Allen, 729. Newman, Donald Joseph, 505. Nielsen, Jakob, 511–512. Nievergelt, Jürg, 476, 480, 549, 564.
Particularly noteworthy in this third edition is Knuth's new treatment of random number generators, and his discussion of calculations with formal power series.
With the addition of this new volume, it continues to be the definitive description of classical computer science. Volume 4B, the sequel to Volume 4A, extends Knuth's exploration of combinatorial algorithms.
Generating All Trees: History of Combinatorial Generation
I am sure that every serious computer scientist will find this book rewarding in many ways." —From the Foreword by Donald E. Knuth
The MMIX Supplement: Supplement to The Art of Computer Programming Volumes 1, 2, 3 by Donald E. Knuth “I encourage serious programmers everywhere to sharpen their skills by devouring this book.” –Donald E. Knuth In the first edition ...
The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e ISBN: 0321751043 Art of Computer Programming, Volume 1, Fascicle 1, The: MMIX -- A RISC Computer for the New Millennium This multivolume work on the analysis of algorithms has ...
The Art of Computer Programming
With this rule Guo and Hall proved that the 3 × 3 automaton will preserve the connectivity structure of the image, in a strong sense that we will discuss below. Furthermore their algorithm obviously leaves an image intact if it is ...
V.1 - Fundamentals algorithms: Basic concepts. Algorithms. Mathematical preliminaries. MIX. Some fundamental programming techniques. Information structures. Linear lists. Trees. Multilinked structures. Dynamic storage allocation. History and bibliography. Random numbers. Generating...