The Art of Computer Programming

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Author :
Publisher : Pearson Education
ISBN 13 : 9780201896855
Total Pages : 810 pages
Book Rating : 4.8/5 (968 download)

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Book Synopsis The Art of Computer Programming by : Donald Ervin Knuth

Download or read book The Art of Computer Programming written by Donald Ervin Knuth and published by Pearson Education. This book was released on 1997 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Donald Knuth is Professor Emeritus of the Art of Computer Programming at Stanford University, and is well-known worldwide as the creator of the Tex typesetting language. Here he presents the third volume of his guide to computer programming.

The Art of Computer Programming, Volume 4B

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Author :
Publisher : Addison-Wesley Professional
ISBN 13 : 0137926812
Total Pages : 995 pages
Book Rating : 4.1/5 (379 download)

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Book Synopsis The Art of Computer Programming, Volume 4B by : Donald E. Knuth

Download or read book The Art of Computer Programming, Volume 4B written by Donald E. Knuth and published by Addison-Wesley Professional. This book was released on 2022-10-11 with total page 995 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Art of Computer Programming is Knuth's multivolume analysis of algorithms. 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. These algorithms are of keen interest to software designers because ". . . a single good idea can save years or even centuries of computer time." The book begins with coverage of Backtrack Programming, together with a set of data structures whose links perform "delightful dances" and are ideally suited to this domain. New techniques for important applications such as optimum partitioning and layout are thereby developed. Knuth's writing is playful, and he includes dozens of puzzles to illustrate the algorithms and techniques, ranging from popular classics like edge-matching to more recent crazes like sudoku. Recreational mathematicians and computer scientists will not be disappointed! In the second half of the book, Knuth addresses Satisfiability, one of the most fundamental problems in all of computer science. Innovative techniques developed at the beginning of the twenty-first century have led to game-changing applications, for such things as optimum scheduling, circuit design, and hardware verification. Thanks to these tools, computers are able to solve practical problems involving millions of variables that only a few years ago were regarded as hopeless. The Mathematical Preliminaries Redux section of the book is a special treat, which presents basic techniques of probability theory that have become prominent since the original "preliminaries" were discussed in Volume 1. As in every volume of this remarkable series, the book includes hundreds of exercises that employ Knuth's ingenious rating system, making it easy for readers of varying degrees of mathematical training to find challenges suitable to them. Detailed answers are provided to facilitate self-study. "Professor Donald E. Knuth has always loved to solve problems. In Volume 4B he now promotes two brand new and practical general problem solvers, namely (0) the Dancing Links Backtracking and (1) the SAT Solver. To use them, a problem is defined declaratively (0) as a set of options, or (1) in Boolean formulae. Today's laptop computers, heavily armoured with very high speed processors and ultra large amounts of memory, are able to run either solver for problems having big input data. Each section of Volume 4B contains a multitudinous number of tough exercises which help make understanding surer. Happy reading!" --Eiiti Wada, an elder computer scientist, UTokyo "Donald Knuth may very well be a great master of the analysis of algorithms, but more than that, he is an incredible and tireless storyteller who always strikes the perfect balance between theory, practice, and fun. [Volume 4B, Combinatorial Algorithms, Part 2] dives deep into the fascinating exploration of search spaces (which is quite like looking for a needle in a haystack or, even harder, to prove the absence of a needle in a haystack), where actions performed while moving forward must be meticulously undone when backtracking. It introduces us to the beauty of dancing links for removing and restoring the cells of a matrix in a dance which is both simple to implement and very efficient." --Christine Solnon, Department of Computer Science, INSA Lyon Register your book for convenient access to downloads, updates, and/or corrections as they become available.

Concrete Mathematics

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Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Concrete Mathematics by : Ronald L. Graham

Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

The MMIX Supplement

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Author :
Publisher : Addison-Wesley Professional
ISBN 13 : 013399287X
Total Pages : 257 pages
Book Rating : 4.1/5 (339 download)

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Book Synopsis The MMIX Supplement by : Martin Ruckert

Download or read book The MMIX Supplement written by Martin Ruckert and published by Addison-Wesley Professional. This book was released on 2015-05-19 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MMIX Supplement: Supplement to The Art of Computer ProgrammingVolumes 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 of Volume 1 of The Art of Computer Programming, Donald E. Knuth introduced the MIX computer and its machine language: a teaching tool that powerfully illuminated the inner workings of the algorithms he documents. Later, with the publication of his Fascicle 1, Knuth introduced MMIX: a modern, 64-bit RISC replacement to the now-obsolete MIX. Now, with Knuth’s guidance and approval, Martin Ruckert has rewritten all MIX example programs from Knuth’s Volumes 1-3 for MMIX, thus completing this MMIX update to the original classic. Building on contributions from the international MMIXmasters volunteer group, Ruckert fully addresses MMIX basic concepts, information structures, random numbers, arithmetic, sorting, and searching. In the preparation of this supplement, about 15,000 lines of MMIX code were written and checked for correctness; over a thousand test cases were written and executed to ensure the code is of the highest possible quality. The MMIX Supplement should be read side by side with The Art of Computer Programming, Volumes 1-3, and Knuth’s Fascicle 1, which introduces the MMIX computer, its design, and its machine language. Throughout, this supplement contains convenient page references to corresponding coverage in the original volumes. To further simplify the transition to MMIX, Ruckert stayed as close as possible to the original–preserving programming style, analysis techniques, and even wording, while highlighting differences where appropriate. The resulting text will serve as a bridge to the future, helping readers apply Knuth’s insights in modern environments, until his revised, “ultimate” edition of The Art of Computer Programming is available. From Donald E. Knuth’s Foreword: “I am thrilled to see the present book by Martin Ruckert: It is jam-packed with goodies from which an extraordinary amount can be learned. Martin has not merely transcribed my early programs for MIX and recast them in a modern idiom. He has penetrated to their essence and rendered them anew with elegance and good taste. His carefully checked code represents a significant contribution to the art of pedagogy as well as to the art of programming.” Dr. Martin Ruckert maintains the MMIX home page at mmix.cs.hm.edu. He is professor of mathematics and computer science at Munich University of Applied Sciences in Munich, Germany.

An Introduction to the Analysis of Algorithms

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Author :
Publisher : Addison-Wesley
ISBN 13 : 0133373487
Total Pages : 734 pages
Book Rating : 4.1/5 (333 download)

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Book Synopsis An Introduction to the Analysis of Algorithms by : Robert Sedgewick

Download or read book An Introduction to the Analysis of Algorithms written by Robert Sedgewick and published by Addison-Wesley. This book was released on 2013-01-18 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully introducing primary techniques and results in the field. Robert Sedgewick and the late Philippe Flajolet have drawn from both classical mathematics and computer science, integrating discrete mathematics, elementary real analysis, combinatorics, algorithms, and data structures. They emphasize the mathematics needed to support scientific studies that can serve as the basis for predicting algorithm performance and for comparing different algorithms on the basis of performance. Techniques covered in the first half of the book include recurrences, generating functions, asymptotics, and analytic combinatorics. Structures studied in the second half of the book include permutations, trees, strings, tries, and mappings. Numerous examples are included throughout to illustrate applications to the analysis of algorithms that are playing a critical role in the evolution of our modern computational infrastructure. Improvements and additions in this new edition include Upgraded figures and code An all-new chapter introducing analytic combinatorics Simplified derivations via analytic combinatorics throughout The book’s thorough, self-contained coverage will help readers appreciate the field’s challenges, prepare them for advanced results—covered in their monograph Analytic Combinatorics and in Donald Knuth’s The Art of Computer Programming books—and provide the background they need to keep abreast of new research. "[Sedgewick and Flajolet] are not only worldwide leaders of the field, they also are masters of exposition. I am sure that every serious computer scientist will find this book rewarding in many ways." —From the Foreword by Donald E. Knuth

The Art of Computer Programming, Volume 1, Fascicle 1

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Author :
Publisher : Addison-Wesley Professional
ISBN 13 : 0321657314
Total Pages : 141 pages
Book Rating : 4.3/5 (216 download)

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Book Synopsis The Art of Computer Programming, Volume 1, Fascicle 1 by : Donald E. Knuth

Download or read book The Art of Computer Programming, Volume 1, Fascicle 1 written by Donald E. Knuth and published by Addison-Wesley Professional. This book was released on 2005-02-09 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Check out the boxed set that brings together Volumes 1 - 4B in one elegant case. The Art of Computer Programming, Volumes 1-4B Boxed Set ISBN: 9780137935109 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

The Pragmatic Programmer

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Publisher : Addison-Wesley Professional
ISBN 13 : 0135956919
Total Pages : 390 pages
Book Rating : 4.1/5 (359 download)

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Book Synopsis The Pragmatic Programmer by : David Thomas

Download or read book The Pragmatic Programmer written by David Thomas and published by Addison-Wesley Professional. This book was released on 2019-07-30 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: “One of the most significant books in my life.” –Obie Fernandez, Author, The Rails Way “Twenty years ago, the first edition of The Pragmatic Programmer completely changed the trajectory of my career. This new edition could do the same for yours.” –Mike Cohn, Author of Succeeding with Agile , Agile Estimating and Planning , and User Stories Applied “. . . filled with practical advice, both technical and professional, that will serve you and your projects well for years to come.” –Andrea Goulet, CEO, Corgibytes, Founder, LegacyCode.Rocks “. . . lightning does strike twice, and this book is proof.” –VM (Vicky) Brasseur, Director of Open Source Strategy, Juniper Networks The Pragmatic Programmer is one of those rare tech books you’ll read, re-read, and read again over the years. Whether you’re new to the field or an experienced practitioner, you’ll come away with fresh insights each and every time. Dave Thomas and Andy Hunt wrote the first edition of this influential book in 1999 to help their clients create better software and rediscover the joy of coding. These lessons have helped a generation of programmers examine the very essence of software development, independent of any particular language, framework, or methodology, and the Pragmatic philosophy has spawned hundreds of books, screencasts, and audio books, as well as thousands of careers and success stories. Now, twenty years later, this new edition re-examines what it means to be a modern programmer. Topics range from personal responsibility and career development to architectural techniques for keeping your code flexible and easy to adapt and reuse. Read this book, and you’ll learn how to: Fight software rot Learn continuously Avoid the trap of duplicating knowledge Write flexible, dynamic, and adaptable code Harness the power of basic tools Avoid programming by coincidence Learn real requirements Solve the underlying problems of concurrent code Guard against security vulnerabilities Build teams of Pragmatic Programmers Take responsibility for your work and career Test ruthlessly and effectively, including property-based testing Implement the Pragmatic Starter Kit Delight your users Written as a series of self-contained sections and filled with classic and fresh anecdotes, thoughtful examples, and interesting analogies, The Pragmatic Programmer illustrates the best approaches and major pitfalls of many different aspects of software development. Whether you’re a new coder, an experienced programmer, or a manager responsible for software projects, use these lessons daily, and you’ll quickly see improvements in personal productivity, accuracy, and job satisfaction. You’ll learn skills and develop habits and attitudes that form the foundation for long-term success in your career. You’ll become a Pragmatic Programmer. Register your book for convenient access to downloads, updates, and/or corrections as they become available. See inside book for details.

MMIXware

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Author :
Publisher : Springer
ISBN 13 : 3540466118
Total Pages : 559 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis MMIXware by : Donald E. Knuth

Download or read book MMIXware written by Donald E. Knuth and published by Springer. This book was released on 2003-06-26 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: MMIX is a RISC computer designed by Don Knuth to illustrate machine-level aspects of programming. In the author's book series "The Art of Computer Programming", MMIX replaces the 1960s-style machine MIX. A particular goal in the design of MMIX was to keep its machine language simple, elegant, and easy to learn. At the same time, all of the complexities needed to achieve high performance in practice are taken into account. This book constitutes a collection of programs written in CWEB that make MMIX a virtual reality. Among other utilities, an assembler converting MMIX symbolic files to MMIX objects and two simulators executing the programs in given object files are provided. The latest version of all programs can be downloaded from MMIX's home page. The book provides a complete documentation of the MMIX computer and its assembly language. It also presents mini-indexes, which make the programs much easier to understand. A corrected reprint of the book has been published in August 2014, replacing the version of 1999.

The Art of Computer Programming

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Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (135 download)

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Book Synopsis The Art of Computer Programming by : Donald Ervin Knuth

Download or read book The Art of Computer Programming written by Donald Ervin Knuth and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Art of Computer Programming is Knuth's multivolume analysis of algorithms. 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. These algorithms are of keen interest to software designers because ". . . a single good idea can save years or even centuries of computer time." The book begins with coverage of Backtrack Programming, together with a set of data structures whose links perform "delightful dances" and are ideally suited to this domain. New techniques for important applications such as optimum partitioning and layout are thereby developed. Knuth's writing is playful, and he includes dozens of puzzles to illustrate the algorithms and techniques, ranging from popular classics like edge-matching to more recent crazes like sudoku. Recreational mathematicians and computer scientists will not be disappointed! In the second half of the book, Knuth addresses Satisfiability, one of the most fundamental problems in all of computer science. Innovative techniques developed at the beginning of the twenty-first century have led to game-changing applications, for such things as optimum scheduling, circuit design, and hardware verification. Thanks to these tools, computers are able to solve practical problems involving millions of variables that only a few years ago were regarded as hopeless. The Mathematical Preliminaries Redux section of the book is a special treat, which presents basic techniques of probability theory that have become prominent since the original "preliminaries" were discussed in Volume 1. As in every volume of this remarkable series, the book includes hundreds of exercises that employ Knuth's ingenious rating system, making it easy for readers of varying degrees of mathematical training to find challenges suitable to them. Detailed answers are provided to facilitate self-study. "Professor Donald E. Knuth has always loved to solve problems. In Volume 4B he now promotes two brand new and practical general problem solvers, namely (0) the Dancing Links Backtracking and (1) the SAT Solver. To use them, a problem is defined declaratively (0) as a set of options, or (1) in Boolean formulae. Today's laptop computers, heavily armoured with very high speed processors and ultra large amounts of memory, are able to run either solver for problems having big input data. Each section of Volume 4B contains a multitudinous number of tough exercises which help make understanding surer. Happy reading!" --Eiiti Wada, an elder computer scientist, UTokyo "Donald Knuth may very well be a great master of the analysis of algorithms, but more than that, he is an incredible and tireless storyteller who always strikes the perfect balance between theory, practice, and fun. [Volume 4B, Combinatorial Algorithms, Part 2] dives deep into the fascinating exploration of search spaces (which is quite like looking for a needle in a haystack or, even harder, to prove the absence of a needle in a haystack), where actions performed while moving forward must be meticulously undone when backtracking. It introduces us to the beauty of dancing links for removing and restoring the cells of a matrix in a dance which is both simple to implement and very efficient." --Christine Solnon, Department of Computer Science, INSA Lyon Register your book for convenient access to downloads, updates, and/or corrections as they become available.

Mathematics for Machine Learning

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Publisher : Cambridge University Press
ISBN 13 : 1108569323
Total Pages : 392 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Mathematics for Machine Learning by : Marc Peter Deisenroth

Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.

MIX

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Author :
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis MIX by : Donald Ervin Knuth

Download or read book MIX written by Donald Ervin Knuth and published by Addison Wesley Publishing Company. This book was released on 1970 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A brief outline of the MIX computer, so that MIX can be used in introductory programming classes as a typical example of "machine language"--Preface

R for Data Science

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Author :
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1491910364
Total Pages : 521 pages
Book Rating : 4.4/5 (919 download)

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Book Synopsis R for Data Science by : Hadley Wickham

Download or read book R for Data Science written by Hadley Wickham and published by "O'Reilly Media, Inc.". This book was released on 2016-12-12 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to use R to turn raw data into insight, knowledge, and understanding. This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You'll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you've learned along the way. You'll learn how to: Wrangle—transform your datasets into a form convenient for analysis Program—learn powerful R tools for solving data problems with greater clarity and ease Explore—examine your data, generate hypotheses, and quickly test them Model—provide a low-dimensional summary that captures true "signals" in your dataset Communicate—learn R Markdown for integrating prose, code, and results

The Art Of Computer Programming, Volume 2: Seminumerical Algorithms, 3/E

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Author :
Publisher : Pearson Education India
ISBN 13 : 9788177583359
Total Pages : 784 pages
Book Rating : 4.5/5 (833 download)

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Book Synopsis The Art Of Computer Programming, Volume 2: Seminumerical Algorithms, 3/E by : Knuth

Download or read book The Art Of Computer Programming, Volume 2: Seminumerical Algorithms, 3/E written by Knuth and published by Pearson Education India. This book was released on 1998-09 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Digital Typography

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Author :
Publisher : Center for the Study of Language and Information Publications
ISBN 13 : 9781575860114
Total Pages : 702 pages
Book Rating : 4.8/5 (61 download)

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Book Synopsis Digital Typography by : Donald E. Knuth

Download or read book Digital Typography written by Donald E. Knuth and published by Center for the Study of Language and Information Publications. This book was released on 1999-03-13 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Donald Knuth's influence in computer science ranges from the invention of literate programming to the development of the TeX programming language. One of the foremost figures in the field of mathematical sciences, Knuth has written papers which stand as milestones of development over a wide range of topics. In this collection, the second in the series, Knuth explores the relationship between computers and typography. The present volume, in the words of the author, is the legacy of all the work he has done on typography. When type designers, punch cutters, typographers, book historians, and scholars visited the University while Knuth was working in this field, it gave to Stanford what some consider to be its golden age of digital typography. By the author's own admission, the present work is one of the most difficult books that he has prepared. This is truly a work that only Knuth could have produced.

TEX and METAFONT

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Author :
Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis TEX and METAFONT by : Donald Ervin Knuth

Download or read book TEX and METAFONT written by Donald Ervin Knuth and published by . This book was released on 1979 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Companion to the Papers of Donald Knuth

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Author :
Publisher : Center for the Study of Language and Information Publica Tion
ISBN 13 : 9781575866345
Total Pages : 0 pages
Book Rating : 4.8/5 (663 download)

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Book Synopsis Companion to the Papers of Donald Knuth by : Donald Ervin Knuth

Download or read book Companion to the Papers of Donald Knuth written by Donald Ervin Knuth and published by Center for the Study of Language and Information Publica Tion. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Donald E. Knuth's seminal publications, such as Selected Papers on Fun and Games and Selected Paper on the Design of Algorithms, have earned him a loyal following among scholars and computer scientists, and his award-winning textbooks have becomes classics that are often given credit for shaping the field. In this volume, he explains and comments on the changes he has made to his work over the last twenty years in response to new technologies and the evolving understanding of key concepts in computer science. His commentary is supplemented by a full bibliography of his works and a number of interviews with Knuth himself, which shed light on his professional life and publications, as well as provide interesting biographical details. A giant in the field of computer science, Knuth has assembled materials that offer a full portrait of both the scientist and the man. The final volume of a series of his collected papers, Companion to the Papers of Donald Knuth is essential for the Knuth completist.

Surreal Numbers

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Publisher : Addison-Wesley Professional
ISBN 13 : 9780201038125
Total Pages : 130 pages
Book Rating : 4.0/5 (381 download)

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Book Synopsis Surreal Numbers by : Donald Ervin Knuth

Download or read book Surreal Numbers written by Donald Ervin Knuth and published by Addison-Wesley Professional. This book was released on 1974 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nearly 30 years ago, John Horton Conway introduced a new way to construct numbers. Donald E. Knuth, in appreciation of this revolutionary system, took a week off from work on The Art of Computer Programming to write an introduction to Conway's method. Never content with the ordinary, Knuth wrote this introduction as a work of fiction--a novelette. If not a steamy romance, the book nonetheless shows how a young couple turned on to pure mathematics and found total happiness. The book's primary aim, Knuth explains in a postscript, is not so much to teach Conway's theory as "to teach how one might go about developing such a theory." He continues: "Therefore, as the two characters in this book gradually explore and build up Conway's number system, I have recorded their false starts and frustrations as well as their good ideas. I wanted to give a reasonably faithful portrayal of the important principles, techniques, joys, passions, and philosophy of mathematics, so I wrote the story as I was actually doing the research myself."... It is an astonishing feat of legerdemain. An empty hat rests on a table made of a few axioms of standard set theory. Conway waves two simple rules in the air, then reaches into almost nothing and pulls out an infinitely rich tapestry of numbers that form a real and closed field. Every real number is surrounded by a host of new numbers that lie closer to it than any other "real" value does. The system is truly "surreal." quoted from Martin Gardner, Mathematical Magic Show, pp. 16--19 Surreal Numbers, now in its 13th printing, will appeal to anyone who might enjoy an engaging dialogue on abstract mathematical ideas, and who might wish to experience how new mathematics is created. 0201038129B04062001