Elwyn R Berlekamp's Books

Winning Ways for Your Mathematical Plays, Volume 3

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Winning Ways for Your Mathematical Plays, Volume 3

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 3, the authors examine Games played in Clubs, giving case studies for coin and paper-and-pencil games, such as Dots-and-Boxes and Nimstring. From the Table of Contents: - Turn and Turn About - Chips and Strips - Dots-and-Boxes - Spots and Sprouts - The Emperor and His Money - The King and the Consumer - Fox and Geese; Hare and Hounds - Lines and Squares

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Page Count

426

Publisher

CRC Press

Published Date

ISBN 10

0429945612

ISBN 13

9780429945618

Winning Ways for Your Mathematical Plays, Volume 2

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Winning Ways for Your Mathematical Plays, Volume 2

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 2, the authors have a Change of Heart, bending the rules established in Volume 1 to apply them to games such as Cut-cake and Loopy Hackenbush. From the Table of Contents: - If You Can't Beat 'Em, Join 'Em! - Hot Bottles Followed by Cold Wars - Games Infinite and Indefinite - Games Eternal--Games Entailed - Survival in the Lost World

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Page Count

252

Publisher

CRC Press

Published Date

ISBN 10

0429945604

ISBN 13

9780429945601

Winning Ways for Your Mathematical Plays

Volume 1

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Winning Ways for Your Mathematical Plays

Volume 1

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order to develop winning strategies.

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Page Count

296

Publisher

CRC Press

Published Date

ISBN 10

0429945558

ISBN 13

9780429945557

Winning Ways for Your Mathematical Plays, Volume 4

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Winning Ways for Your Mathematical Plays, Volume 4

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Page Count

224

Publisher

CRC Press

Published Date

ISBN 10

0429945582

ISBN 13

9780429945588

The Dots and Boxes Game

Sophisticated Child's Play

By: Elwyn R. Berlekamp

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The Dots and Boxes Game

Sophisticated Child's Play

By: Elwyn R. Berlekamp

The game of Dots-and-Boxes, the popular game in which two players take turns connecting an array of dots to form squares, or boxes has long been considered merely a child's game. In this book, however, the author reveals the surprising complexity of the game, along with advanced strategies that will allow the reader to win at any level of gamepla

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Page Count

144

Publisher

CRC Press

Published Date

ISBN 10

1482208490

ISBN 13

9781482208498

Mathematical Go

Chilling Gets the Last Point

By: Elwyn Berlekamp,David Wolfe

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Mathematical Go

Chilling Gets the Last Point

By: Elwyn Berlekamp,David Wolfe

The ancient game of Go is one of the less obvious candidates for mathematical analysis. With the development of new concepts in combinatorial game theory, the authors have been able to analyze Go games and find solutions to real endgame problems that have stumped professional Go players. Go players with an interest in mathematics and mathematicians

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Page Count

256

Publisher

CRC Press

Published Date

ISBN 10

1439863555

ISBN 13

9781439863558

Winning Ways for Your Mathematical Plays

Volume 1

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Winning Ways for Your Mathematical Plays

Volume 1

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Page Count

343

Publisher

CRC Press

Published Date

ISBN 10

0429945590

ISBN 13

9780429945595

Winning Ways for Your Mathematical Plays, Volume 3

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Winning Ways for Your Mathematical Plays, Volume 3

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Page Count

426

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CRC Press

Published Date

ISBN 10

0429945612

ISBN 13

9780429945618

Winning Ways for Your Mathematical Plays, Volume 2

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

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Winning Ways for Your Mathematical Plays, Volume 2

By: Elwyn R. Berlekamp,John H. Conway,Richard K. Guy

In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 2, the authors have a Change of Heart, bending the rules established in Volume 1 to apply them to games such as Cut-cake and Loopy Hackenbush. From the Table of Contents: - If You Can't Beat 'Em, Join 'Em! - Hot Bottles Followed by Cold Wars - Games Infinite and Indefinite - Games Eternal--Games Entailed - Survival in the Lost World

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Age

Page Count

252

Publisher

CRC Press

Published Date

ISBN 10

0429945604

ISBN 13

9780429945601

The Dots and Boxes Game

Sophisticated Child's Play

By: Elwyn R. Berlekamp

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The Dots and Boxes Game

Sophisticated Child's Play

By: Elwyn R. Berlekamp

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Page Count

144

Publisher

CRC Press

Published Date

ISBN 10

1482208490

ISBN 13

9781482208498

Algebraic Coding Theory (Revised Edition)

By: Elwyn R Berlekamp

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Algebraic Coding Theory (Revised Edition)

By: Elwyn R Berlekamp

This is the revised edition of Berlekamp's famous book, 'Algebraic Coding Theory', originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field. One of these is an algorithm for decoding Reed-Solomon and Bose-Chaudhuri-Hocquenghem codes that subsequently became known as the Berlekamp-Massey Algorithm. Another is the Berlekamp algorithm for factoring polynomials over finite fields, whose later extensions and embellishments became widely used in symbolic manipulation systems. Other novel algorithms improved the basic methods for doing various arithmetic operations in finite fields of characteristic two. Other major research contributions in this book included a new class of Lee metric codes, and precise asymptotic results on the number of information symbols in long binary BCH codes.Selected chapters of the book became a standard graduate textbook.Both practicing engineers and scholars will find this book to be of great value.

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Page Count

501

Publisher

World Scientific

Published Date

ISBN 10

981463591X

ISBN 13

9789814635912

Combinatorial Games

By: Elwyn R. Berlekamp

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Combinatorial Games

By: Elwyn R. Berlekamp

The subject of combinatorics is only slowly acquiring respectability and combinatorial games will clearly take longer than the rest of combinatorics. Perhaps this partly stems from the puritanical view that anything amusing can't possibly involve any worthwhile mathematics." from the Preface.Based on lectures presented at the AMS Short Course on Combinatorial Games, held at the Joint Mathematics Meetings , the ten papers in this volume will provide readers with insight into this exciting new field. (BULLET) In the opening paper, Guy contrasts combinatorial games, which have complete information and no chance moves, with those of classical game theory. Conway introduces a new theory of numbers, which has emerged as a special case of the theory of games. Guy describes impartialgames, with the same options for both players, and the Sprague-Grundy theory. Conway discusses a variety of ways in which games can be played simultaneously. Berlekamp uses the theory of "hot" games to make remarkable progress in the analysis of Go Endgames. Pless demostrates the close connectionbetween several impartial games and error-correcting codes. Fraenkel explains the way in which complexity theory is very well illustrated by combinatorial games, which supply a plethora of examples of harder problems than most of those which have been considered in the past. Nowakowski outlines the theory of three particular games - Welter's Game, Sylver Coinage, and Dots-and-Boxes. A list of three dozen open problems and bibliography of 400 items are appended.

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Age

Page Count

233

Publisher

Amer Mathematical Society

Published Date

ISBN 10

082180166X

ISBN 13

9780821801666

Book's by Elwyn R Berlekamp

Winning Ways for Your Mathematical Plays, Volume 3

Winning Ways for Your Mathematical Plays, Volume 3

Winning Ways for Your Mathematical Plays, Volume 2

Winning Ways for Your Mathematical Plays, Volume 2

Winning Ways for Your Mathematical Plays

Winning Ways for Your Mathematical Plays

Winning Ways for Your Mathematical Plays, Volume 4

Winning Ways for Your Mathematical Plays, Volume 4

The Dots and Boxes Game

The Dots and Boxes Game

Mathematical Go

Mathematical Go

Winning Ways for Your Mathematical Plays

Winning Ways for Your Mathematical Plays

Winning Ways for Your Mathematical Plays, Volume 3

Winning Ways for Your Mathematical Plays, Volume 3

Winning Ways for Your Mathematical Plays, Volume 2

Winning Ways for Your Mathematical Plays, Volume 2

The Dots and Boxes Game

The Dots and Boxes Game

Algebraic Coding Theory (Revised Edition)

Algebraic Coding Theory (Revised Edition)

Combinatorial Games

Combinatorial Games

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