The Art Of Computer Programming Volume 4 Fascicle 7
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The Art of Computer Programming, Volume 4, Fascicle 7
Author: Donald Knuth
language: en
Publisher: Addison-Wesley Professional
Release Date: 2025-03
This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The four 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 continue the fourth and later volumes of the set, and to update parts of the existing volumes, Knuth has created a series of small books called fascicles, which are published at regular intervals. Each fascicle encompasses a section or more of wholly new or revised 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. The Art of Computer Programming, Volume 4, Fascicle 7, is brimming with lively examples and forms the first third of what will eventually become hardcover Volume 4C. It introduces and explores an important general framework for modeling and solving combinatorial problems, called the Constraint Satisfaction Problem (CSP). The concluding sections of Volume 4B contain expositions of two analogous frameworks, namely XCC ("exact covering with colors") and SAT ("Boolean satisfiability"); the XCC solvers and SAT solvers are now joined by CSP solvers, completing a powerful trio of techniques. Each member of the trio has its own strengths, while separately helping to understand the other two. Fascicle 7 illuminates how the CSP framework is tied to dozens of other parts of computer science: Scene analysis (computer vision); efficient algorithms that embed one graph in another; fascinating instances of "graceful graphs"; new ways to look ahead when backtracking; new heuristics to guide a search that backtracks through a massive space of possibilities; situations when backtracking isn't necessary. New sparse-set data structures are introduced, leading to a technique called "dancing cells"--which often is even better than "dancing links"! Recreational topics appear throughout, including some new takes on the classic problem of a knight's tour, as well as modern puzzles such as fillomino. Nearly 500 exercises are provided, arranged carefully for self-instruction, together with detailed answers (in fact, sometimes also with answers to the answers). All the while, the author pays significant attention to the history of the subject and its human dimensions.
The Art of Computer Programming, Volume 4, Fascicle 7
Author: Donald E. Knuth
language: en
Publisher: Addison-Wesley Professional
Release Date: 2025-03-20
The Art of Computer Programming is a multivolume work on the analysis of algorithms and has long been recognized as the definitive description of classical computer science. The five volumes published to date--Volumes 1, 2, 3, 4A, and 4B--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 continue the set, and to update parts of the existing volumes, Knuth has created a series of small books called fascicles, which are published at regular intervals. Each fascicle encompasses a section or more of wholly new or revised 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 7, which is brimming with lively examples, forms the first third of what will eventually become hardcover Volume 4C. It introduces and explores an important general framework for modeling and solving combinatorial problems, called the Constraint Satisfaction Problem (CSP). The concluding sections of Volume 4B contain expositions of two analogous frameworks, namely XCC ("exact covering with colors") and SAT ("Boolean satisfiability"); the XCC solvers and SAT solvers are now joined by CSP solvers, completing a powerful trio of techniques. Each member of the trio has its own strengths, while separately helping to understand the other two. This fascicle illuminates how the CSP framework is tied to dozens of other parts of computer science: Scene analysis (computer vision); efficient algorithms that embed one graph in another; fascinating instances of "graceful graphs"; new ways to look ahead when backtracking; new heuristics to guide a search that backtracks through a massive space of possibilities; situations when backtracking isn't necessary. New sparse-set data structures are introduced, leading to a technique called "dancing cells"--which often is even better than "dancing links"! Recreational topics appear throughout, including some new takes on the classic problem of a knight's tour, as well as modern puzzles such as fillomino. Nearly 500 exercises are provided, arranged carefully for self-instruction, together with detailed answers (in fact, sometimes also with answers to the answers). All the while, the author pays significant attention to the history of the subject and its human dimensions.
The Art of Computer Programming
Author: Donald E. Knuth
language: en
Publisher: Addison-Wesley Professional
Release Date: 1998-04-24
The bible of all fundamental algorithms and the work that taught many of today's software developers most of what they know about computer programming. –Byte, September 1995 I can't begin to tell you how many pleasurable hours of study and recreation they have afforded me! I have pored over them in cars, restaurants, at work, at home... and even at a Little League game when my son wasn't in the line-up. –Charles Long If you think you're a really good programmer... read [Knuth's] Art of Computer Programming... You should definitely send me a resume if you can read the whole thing. –Bill Gates It's always a pleasure when a problem is hard enough that you have to get the Knuths off the shelf. I find that merely opening one has a very useful terrorizing effect on computers. –Jonathan Laventhol The first revision of this third volume is the most comprehensive survey of classical computer techniques for sorting and searching. It extends the treatment of data structures in Volume 1 to consider both large and small databases and internal and external memories. The book contains a selection of carefully checked computer methods, with a quantitative analysis of their efficiency. Outstanding features of the second edition include a revised section on optimum sorting and new discussions of the theory of permutations and of universal hashing. Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP),http://msp.org