Mathematics for the Analysis of Algorithms: Edition 3

Springer Science & Business Media
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A quantitative study of the efficiency of computer methods requires an in-depth understanding of both mathematics and computer science. This monograph, derived from an advanced computer science course at Stanford University, builds on the fundamentals of combinatorial analysis and complex variable theory to present many of the major paradigms used in the precise analysis of algorithms, emphasizing the more difficult notions. The authors cover recurrence relations, operator methods, and asymptotic analysis in a format that is terse enough for easy reference yet detailed enough for those with little background. Approximately half the book is devoted to original problems and solutions from examinations given at Stanford.

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Publisher
Springer Science & Business Media
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Published on
May 21, 2009
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Pages
132
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ISBN
9780817647292
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Best For
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Language
English
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Genres
Computers / Data Processing
Computers / Information Technology
Computers / Programming / Algorithms
Mathematics / Counting & Numeration
Mathematics / Discrete Mathematics
Mathematics / Number Systems
Mathematics / Numerical Analysis
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This content is DRM protected.
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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.



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 1, Fascicle 1, The: MMIX -- A RISC Computer for the New Millennium

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 1, Fascicle 1

This first fascicle updates The Art of Computer Programming, Volume 1, Third Edition: Fundamental Algorithms, and ultimately will become part of the fourth edition of that book. Specifically, it provides a programmer's introduction to the long-awaited MMIX, a RISC-based computer that replaces the original MIX, and describes the MMIX assembly language. The fascicle also presents new material on subroutines, coroutines, and interpretive routines.

Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP),http://msp.org



Some years ago, "new math" took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of "new math" have been eliminated and its positive elements assimilated into classroom instruction.
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math": groups, sets, subsets, topology, Boolean algebra, and more. According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics. No advanced mathematical background is needed (a smattering of algebra, geometry, and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much more.
By the time readers have finished this book, they'll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying "new math" leads toward a genuine comprehension of the nature of mathematics itself.

Již více než 40 let nejvlivnější učebnice programování! Ponořte se do jedné z nejvýznamnějších učebnic programování a informatiky vůbec a objevte důvody, proč se série knih Umění programování (The Art of Computer Programming) stala tak průlomovým dílem. Výuková publikace i referenční příručka plná nejdůležitějších programátorských rad, zásad a principů probraných do nejhlubších matematických detailů obsahuje stovky cvičebních úkolů a otázek včetně odpovědí a řešení většiny cvičení. Tento svazek je průnikem celé série, neboť obsahuje základní výkladový materiál používaný i v dalších svazcích. 8 důvodů unikátnosti série knih The Art of Computer Programming: - Začala vznikat na začátku 60. let a přes obrovský rozmach v oblasti IT jsou její tvrzení platná dodnes. - Dokáže ji vstřebat každý čtenář se znalostmi středoškolské algebry. - Všechna matematická tvrzení jsou náležitě dokázána. - Může sloužit k samostudiu obecných programátorských pravidel a datových struktur, praktického programování ve strojovém jazyce, ale i ke studiu diskrétní matematiky. - Autor demonstruje algoritmy na strojově orientovaném jazyce, aby tak mohl pracovat s elementárními počítačovými instrukcemi. - Aby autor dosáhl úplné obecnosti, vytvořil pro účely výkladu univerzální počítač. - Dobrovolníci vytvořili simulátory Knuthova počítače, takže je možné vše si i prakticky vyzkoušet. - Programování je tu pojato i z estetické stránky; propojuje se tak exaktní a umělecká činnost. „Bible všech základních algoritmů a dílo, které dnešní vývojáře učí vše, co by o programování měli znát.“ – magazín Byte, září 1995 „Pokud si myslíte, že jste dobrý programátor, přečtěte si Knuthovo Umění Programování. A určitě mi pošlete resumé, pokud jeho dílo dočtete až do konce.“ – Bill Gates, zakladatel společnosti Microsoft „Je příjemné, když je problém tak složitý, že musíte sáhnout do poličky pro Knutha. Mám pocit, že pouhé otevření té knihy je pro počítače užitečné.“ – Jonathan Laventhol, vedoucí technolog společnosti Imagination O autorovi: Donald Erwin Knuth, emeritní profesor Stanfordovy univerzity v Kalifornii, je jedním z nejuznávanějších světových odborníků v oblasti informačních technologií. Vytvořil systémy TeX a METAFONT, které se staly standardy počítačové sazby. Napsal přes 20 knih a 160 odborných publikací o programování, sazbě či obecně o informačních technologiích. Na sérii knih Umění programování (The Art of Computer Programming) začal pracovat již v roce 1962, kdy absolvoval kalifornský Institute of Technology, a novým dílům se věnuje dodnes. Je nositelem mnoha vyznamenání v oboru informatiky včetně Turingovy ceny, IEEE Computer Pioneer Award nebo americké národní medaile za vědu. V roce 1996 navštívil Českou republiku, aby převzal titul Doctor honoris causa v oboru informatika na Masarykově univerzitě v Brně.
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 1, Fascicle 1, The: MMIX -- A RISC Computer for the New Millennium

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 1, Fascicle 1

This first fascicle updates The Art of Computer Programming, Volume 1, Third Edition: Fundamental Algorithms, and ultimately will become part of the fourth edition of that book. Specifically, it provides a programmer's introduction to the long-awaited MMIX, a RISC-based computer that replaces the original MIX, and describes the MMIX assembly language. The fascicle also presents new material on subroutines, coroutines, and interpretive routines.

Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP),http://msp.org



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