The Art of Computer Programming, Volume 4A

Combinatorial Algorithms

Author: Donald E. Knuth

Publisher: Addison-Wesley Professional

ISBN: 0133488853

Category: Computers

Page: 912

View: 8452

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The Art of Computer Programming, Volume 4A: Combinatorial Algorithms, Part 1 Knuth’s multivolume analysis of algorithms is widely recognized as the definitive description of classical computer science. The first three volumes of this work have long comprised a unique and invaluable resource in programming theory and practice. Scientists have marveled at the beauty and elegance of Knuth’s analysis, while practicing programmers have successfully applied his “cookbook” solutions to their day-to-day problems. The level of these first three volumes has remained so high, and they have displayed so wide and deep a familiarity with the art of computer programming, that a sufficient “review” of future volumes could almost be: “Knuth, Volume n has been published.” —Data Processing Digest Knuth, Volume n has been published, where n = 4A. In this long-awaited new volume, the old master turns his attention to some of his favorite topics in broadword computation and combinatorial generation (exhaustively listing fundamental combinatorial objects, such as permutations, partitions, and trees), as well as his more recent interests, such as binary decision diagrams. The hallmark qualities that distinguish his previous volumes are manifest here anew: detailed coverage of the basics, illustrated with well-chosen examples; occasional forays into more esoteric topics and problems at the frontiers of research; impeccable writing peppered with occasional bits of humor; extensive collections of exercises, all with solutions or helpful hints; a careful attention to history; implementations of many of the algorithms in his classic step-by-step form. There is an amazing amount of information on each page. Knuth has obviously thought long and hard about which topics and results are most central and important, and then, what are the most intuitive and succinct ways of presenting that material. Since the areas that he covers in this volume have exploded since he first envisioned writing about them, it is wonderful how he has managed to provide such thorough treatment in so few pages. —Frank Ruskey, Department of Computer Science, University of Victoria The book is Volume 4A, because Volume 4 has itself become a multivolume undertaking. Combinatorial searching is a rich and important topic, and Knuth has too much to say about it that is new, interesting, and useful to fit into a single volume, or two, or maybe even three. This book alone includes approximately 1500 exercises, with answers for self-study, plus hundreds of useful facts that cannot be found in any other publication. Volume 4A surely belongs beside the first three volumes of this classic work in every serious programmer’s library. 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


Arithmetik

Aus der Reihe The Art of Computer Programming

Author: Donald E. Knuth

Publisher: Springer-Verlag

ISBN: 3642564321

Category: Computers

Page: 538

View: 3996

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Das Buch Arithmetik ist eine Übersetzung des vierten Kapitels der legendären Werkreihe "The Art of Computer Programming" von Donald E. Knuth in der neuesten Fassung. Es handelt sich um eine umfangreiche Einführung in die Computeralgebra, die den neuesten Stand der Forschung berücksichtigt. Donald E. Knuth versteht es, die Algorithmen didaktisch sehr geschickt und ohne Kompromisse bei der Strenge aufzubereiten. Das Buch enthält außerdem Hunderte von Aufgaben verschiedener Schwierigkeitsgrade mit Lösungen. Der Übersetzer, Prof. Dr. R. Loos, lehrt an der Universität Tübingen.

Algorithmen und Datenstrukturen

Author: Thomas Ottmann,Peter Widmayer

Publisher: Springer-Verlag

ISBN: 3827428041

Category: Computers

Page: 780

View: 731

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Dieses bestens eingeführte Lehrbuch wendet sich an Studierende der Informatik in Grund- und Hauptstudium. Es behandelt gut verständlich alle Themen, die üblicherweise in der Standardvorlesung "Algorithmen und Datenstrukturen” vermittelt werden. Die einzelnen Algorithmen werden theoretisch fundiert dargestellt; ihre Funktionsweise wird ausführlich anhand vieler Beispiele erläutert. Zusätzlich zur halbformalen Beschreibung werden wichtige Algorithmen in Java formuliert. Das Themenspektrum reicht von Algorithmen zum Suchen und Sortieren über Hashverfahren, Bäume, Manipulation von Mengen bis hin zu Geometrischen Algorithmen und Graphenalgorithmen. Dabei werden sowohl der Entwurf effizienter Algorithmen und Datenstrukturen als auch die Analyse ihres Verhaltens mittels mathematischer Methoden behandelt. Durch eine übersichtliche Gliederung, viele Abbildungen und eine präzise Sprache gelingt den Autoren in vorbildlicher Weise die Vermittlung des vielschichtigen Themengebiets. Die 5. Auflage ist vollständig durchgesehen und überarbeitet. Neu aufgenommen wurden Einführungen in die Themen Dynamisches Programmieren, Backtracking, Onlinealgorithmen, Approximationsalgorithmen sowie einige Algorithmen für spezielle Probleme wie die schnelle Multiplikation von Matrizen, von ganzen Zahlen, und die Konstruktion der konvexen Hülle von Punkten in der Ebene. Das Buch eignet sich zur Vorlesungsbegleitung, zum Selbststudium und zum Nachschlagen. Eine Vielzahl von Aufgaben dient der weiteren Vertiefung des Gelernten. Unter http://ad.informatik.uni-freiburg.de/bibliothek/books/ad-buch/ werden Java-Programme für die wichtigsten Algorithmen und ergänzende Materialien zum Buch bereitgestellt.

Insel der Zahlen

Eine zahlentheoretische Genesis im Dialog

Author: Donald Ervin Knuth

Publisher: Springer-Verlag

ISBN: 3322906507

Category: Mathematics

Page: 124

View: 9278

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The Art of Computer Programming

Volume 1: Fundamental Algorithms

Author: Donald E. Knuth

Publisher: Addison-Wesley Professional

ISBN: 0321635744

Category: Computers

Page: 672

View: 687

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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 This first volume in the series begins with basic programming concepts and techniques, then focuses more particularly on information structures–the representation of information inside a computer, the structural relationships between data elements and how to deal with them efficiently. Elementary applications are given to simulation, numerical methods, symbolic computing, software and system design. Dozens of simple and important algorithms and techniques have been added to those of the previous edition. The section on mathematical preliminaries has been extensively revised to match present trends in research.

Algorithmen - Eine Einführung

Author: Thomas H. Cormen,Charles E. Leiserson,Ronald Rivest,Clifford Stein

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110522012

Category: Computers

Page: 1339

View: 9400

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Der "Cormen" bietet eine umfassende und vielseitige Einführung in das moderne Studium von Algorithmen. Es stellt viele Algorithmen Schritt für Schritt vor, behandelt sie detailliert und macht deren Entwurf und deren Analyse allen Leserschichten zugänglich. Sorgfältige Erklärungen zur notwendigen Mathematik helfen, die Analyse der Algorithmen zu verstehen. Den Autoren ist es dabei geglückt, Erklärungen elementar zu halten, ohne auf Tiefe oder mathematische Exaktheit zu verzichten. Jedes der weitgehend eigenständig gestalteten Kapitel stellt einen Algorithmus, eine Entwurfstechnik, ein Anwendungsgebiet oder ein verwandtes Thema vor. Algorithmen werden beschrieben und in Pseudocode entworfen, der für jeden lesbar sein sollte, der schon selbst ein wenig programmiert hat. Zahlreiche Abbildungen verdeutlichen, wie die Algorithmen arbeiten. Ebenfalls angesprochen werden Belange der Implementierung und andere technische Fragen, wobei, da Effizienz als Entwurfskriterium betont wird, die Ausführungen eine sorgfältige Analyse der Laufzeiten der Programme mit ein schließen. Über 1000 Übungen und Problemstellungen und ein umfangreiches Quellen- und Literaturverzeichnis komplettieren das Lehrbuch, dass durch das ganze Studium, aber auch noch danach als mathematisches Nachschlagewerk oder als technisches Handbuch nützlich ist. Für die dritte Auflage wurde das gesamte Buch aktualisiert. Die Änderungen sind vielfältig und umfassen insbesondere neue Kapitel, überarbeiteten Pseudocode, didaktische Verbesserungen und einen lebhafteren Schreibstil. So wurden etwa - neue Kapitel zu van-Emde-Boas-Bäume und mehrfädigen (engl.: multithreaded) Algorithmen aufgenommen, - das Kapitel zu Rekursionsgleichungen überarbeitet, sodass es nunmehr die Teile-und-Beherrsche-Methode besser abdeckt, - die Betrachtungen zu dynamischer Programmierung und Greedy-Algorithmen überarbeitet; Memoisation und der Begriff des Teilproblem-Graphen als eine Möglichkeit, die Laufzeit eines auf dynamischer Programmierung beruhender Algorithmus zu verstehen, werden eingeführt. - 100 neue Übungsaufgaben und 28 neue Problemstellungen ergänzt. Umfangreiches Dozentenmaterial (auf englisch) ist über die Website des US-Verlags verfügbar.

Art of Computer Programming, Volume 4, Fascicle 4,The

Generating All Trees--History of Combinatorial Generation

Author: Donald E. Knuth

Publisher: Addison-Wesley Professional

ISBN: 0132702347

Category: Computers

Page: 128

View: 1796

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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 4,The: Generating All Trees--History of Combinatorial Generation: Generating All Trees--History of Combinatorial Generation 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 at regular intervals. Each fascicle will encompass 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 4 This latest fascicle covers the generation of all trees, a basic topic that has surprisingly rich ties to the first three volumes of The Art of Computer Programming. In thoroughly discussing this well-known subject, while providing 124 new exercises, Knuth continues to build a firm foundation for programming. To that same end, this fascicle also covers the history of combinatorial generation. Spanning many centuries, across many parts of the world, Knuth tells a fascinating story of interest and relevance to every artful programmer, much of it never before told. The story even includes a touch of suspense: two problems that no one has yet been able to solve.

Applied Discrete Structures - Part 2- Algebraic Structures

Author: Ken Levasseur,Al Doerr

Publisher: Lulu.com

ISBN: 1105618986

Category: Science

Page: 266

View: 744

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Applied Discrete Structures, Part II - Algebraic Structures, is an introduction to groups, monoids, vector spaces, lattices, boolean algebras, rings and fields. It corresponds with the content of Discrete Structures II at UMass Lowell, which is a required course for students in Computer Science. It presumes background contained in Part I - Fundamentals. Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.

Combinatorial Algorithms

22th International Workshop, IWOCA 2011, Victoria, Canada, July 20-22, 2011, Revised Selected Papers

Author: Costas S. Iliopoulos,William F. Smyth

Publisher: Springer Science & Business Media

ISBN: 3642250106

Category: Computers

Page: 387

View: 2894

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With endocrinologists deploying nuclear medicine on a daily basis, and with the rapid development of the latter, this concise and up-to-date guide to the vital information required has been designed to maximize relevance and ease of use in clinical practice.

Professional C++

Author: Marc Gregoire

Publisher: John Wiley & Sons

ISBN: 1118858131

Category: Computers

Page: 984

View: 6007

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Master complex C++ programming with this helpful, in-depthresource From game programming to major commercial software applications,C++ is the language of choice. It is also one of the most difficultprogramming languages to master. While most competing books aregeared toward beginners, Professional C++, Third Edition,shows experienced developers how to master the latest release ofC++, explaining little known features with detailed code examplesusers can plug into their own codes. More advanced languagefeatures and programming techniques are presented in this newestedition of the book, whose earlier editions have helped thousandsof coders get up to speed with C++. Become familiar with the fullcapabilities offered by C++, and learn the best ways to design andbuild applications to solve real-world problems. Professional C++, Third Edition has been substantiallyrevised and revamped from previous editions, and fully covers thelatest (2014) C++ standard. Discover how to navigate thesignificant changes to the core language features and syntax, andextensions to the C++ Standard Library and its templates. Thispractical guide details many poorly understood elements of C++ andhighlights pitfalls to avoid. Best practices for programming style, testing, anddebugging Working code that readers can plug into their own apps In-depth case studies with working code Tips, tricks, and workarounds with an emphasis on goodprogramming style Move forward with this comprehensive, revamped guide toprofessional coding with C++.

Combinatorics: Ancient & Modern

Author: John J. Watkins,Ronald Graham

Publisher: Oxford University Press

ISBN: 0199656592

Category: Mathematics

Page: 381

View: 7744

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Combinatorics is the branch of discrete mathematics that studies (and counts) permutations, combinations, and arrangements of sets of elements. This book constitutes the first book-length survey of the history of combinatorics and uniquely assembles research in the area that would otherwise be inaccessible to the general reader.

Art of Computer Programming, Volume 2

Seminumerical Algorithms

Author: Donald E. Knuth

Publisher: Addison-Wesley Professional

ISBN: 0321635760

Category: Computers

Page: 784

View: 1899

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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 second volume offers a complete introduction to the field of seminumerical algorithms, with separate chapters on random numbers and arithmetic. The book summarizes the major paradigms and basic theory of such algorithms, thereby providing a comprehensive interface between computer programming and numerical analysis. Particularly noteworthy in this third edition is Knuth's new treatment of random number generators, and his discussion of calculations with formal power series.


Das BUCH der Beweise

Author: Martin Aigner,Günter M. Ziegler

Publisher: Springer-Verlag

ISBN: 3662064545

Category: Mathematics

Page: 247

View: 3522

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Die elegantesten mathematischen Beweise, spannend und für jeden Interessierten verständlich. "Der Beweis selbst, seine Ästhetik, seine Pointe geht ins Geschichtsbuch der Königin der Wissenschaften ein. Ihre Anmut offenbart sich in dem gelungenen und geschickt illustrierten Buch." Die Zeit


Grundbegriffe der Wahrscheinlichkeitsrechnung

Author: A. Kolomogoroff

Publisher: Springer-Verlag

ISBN: 3642498884

Category: Mathematics

Page: 62

View: 6890

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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Algorithmen für Dummies

Author: John Paul Mueller,Luca Massaron

Publisher: John Wiley & Sons

ISBN: 3527809775

Category: Computers

Page: 320

View: 2356

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Wir leben in einer algorithmenbestimmten Welt. Deshalb lohnt es sich zu verstehen, wie Algorithmen arbeiten. Das Buch präsentiert die wichtigsten Anwendungsgebiete für Algorithmen: Optimierung, Sortiervorgänge, Graphentheorie, Textanalyse, Hashfunktionen. Zu jedem Algorithmus werden jeweils Hintergrundwissen und praktische Grundlagen vermittelt sowie Beispiele für aktuelle Anwendungen gegeben. Für interessierte Leser gibt es Umsetzungen in Python, sodass die Algorithmen auch verändert und die Auswirkungen der Veränderungen beobachtet werden können. Dieses Buch richtet sich an Menschen, die an Algorithmen interessiert sind, ohne eine Doktorarbeit zu dem Thema schreiben zu wollen. Wer es gelesen hat, versteht, wie wichtige Algorithmen arbeiten und wie man von dieser Arbeit beispielsweise bei der Entwicklung von Unternehmensstrategien profitieren kann.

Algorithmic Puzzles

Author: Anany Levitin,Maria Levitin

Publisher: Oxford University Press

ISBN: 0199911770

Category: Mathematics

Page: 280

View: 5660

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While many think of algorithms as specific to computer science, at its core algorithmic thinking is defined by the use of analytical logic to solve problems. This logic extends far beyond the realm of computer science and into the wide and entertaining world of puzzles. In Algorithmic Puzzles, Anany and Maria Levitin use many classic brainteasers as well as newer examples from job interviews with major corporations to show readers how to apply analytical thinking to solve puzzles requiring well-defined procedures. The book's unique collection of puzzles is supplemented with carefully developed tutorials on algorithm design strategies and analysis techniques intended to walk the reader step-by-step through the various approaches to algorithmic problem solving. Mastery of these strategies--exhaustive search, backtracking, and divide-and-conquer, among others--will aid the reader in solving not only the puzzles contained in this book, but also others encountered in interviews, puzzle collections, and throughout everyday life. Each of the 150 puzzles contains hints and solutions, along with commentary on the puzzle's origins and solution methods. The only book of its kind, Algorithmic Puzzles houses puzzles for all skill levels. Readers with only middle school mathematics will develop their algorithmic problem-solving skills through puzzles at the elementary level, while seasoned puzzle solvers will enjoy the challenge of thinking through more difficult puzzles.