Winning Ways for Your Mathematical Plays, Volume 4

Winning Ways for Your Mathematical Plays, Volume 4
Title Winning Ways for Your Mathematical Plays, Volume 4 PDF eBook
Author Elwyn R. Berlekamp
Publisher CRC Press
Pages 224
Release 2004-03-30
Genre Mathematics
ISBN 0429945582

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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 4, the authors present a Diamond of a find, covering one-player games such as Solitaire.




Winning Ways for Your Mathematical Plays

Winning Ways for Your Mathematical Plays
Title Winning Ways for Your Mathematical Plays PDF eBook
Author Elwyn R. Berlekamp
Publisher CRC Press
Pages 343
Release 2018-05-08
Genre Mathematics
ISBN 0429945590

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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.




Winning Ways for Your Mathematical Plays, Volume 3

Winning Ways for Your Mathematical Plays, Volume 3
Title Winning Ways for Your Mathematical Plays, Volume 3 PDF eBook
Author Elwyn R. Berlekamp
Publisher CRC Press
Pages 364
Release 2018-05-08
Genre Mathematics
ISBN 0429945574

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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




Winning Ways, for Your Mathematical Plays: Games in particular

Winning Ways, for Your Mathematical Plays: Games in particular
Title Winning Ways, for Your Mathematical Plays: Games in particular PDF eBook
Author Elwyn R. Berlekamp
Publisher
Pages 0
Release 1982
Genre Mathematical recreations
ISBN 9780120911509

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Combinatorial Game Theory

Combinatorial Game Theory
Title Combinatorial Game Theory PDF eBook
Author Aaron N. Siegel
Publisher American Mathematical Soc.
Pages 542
Release 2013-08-01
Genre Mathematics
ISBN 082185190X

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Combinatorial game theory is the study of two-player games with no hidden information and no chance elements. The theory assigns algebraic values to positions in such games and seeks to quantify the algebraic and combinatorial structure of their interactions. Its modern form was introduced thirty years ago, with the publication of the classic Winning Ways for Your Mathematical Plays by Berlekamp, Conway, and Guy, and interest has rapidly increased in recent decades. This book is a comprehensive and up-to-date introduction to the subject, tracing its development from first principles and examples through many of its most recent advances. Roughly half the book is devoted to a rigorous treatment of the classical theory; the remaining material is an in-depth presentation of topics that appear for the first time in textbook form, including the theory of misère quotients and Berlekamp's generalized temperature theory. Packed with hundreds of examples and exercises and meticulously cross-referenced, Combinatorial Game Theory will appeal equally to students, instructors, and research professionals. More than forty open problems and conjectures are mentioned in the text, highlighting the many mysteries that still remain in this young and exciting field. Aaron Siegel holds a Ph.D. in mathematics from the University of California, Berkeley and has held positions at the Mathematical Sciences Research Institute and the Institute for Advanced Study. He was a partner at Berkeley Quantitative, a technology-driven hedge fund, and is presently employed by Twitter, Inc.




On Numbers and Games

On Numbers and Games
Title On Numbers and Games PDF eBook
Author John H. Conway
Publisher CRC Press
Pages 253
Release 2000-12-11
Genre Mathematics
ISBN 1439864152

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Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class that includes both real numbers and ordinal numbers: surreal numbers. The second edition presents developments in mathematical game theory, focusing on surreal numbers and the additive theory of partizan games.




Winning Ways for Your Mathematical Plays, Volume 2

Winning Ways for Your Mathematical Plays, Volume 2
Title Winning Ways for Your Mathematical Plays, Volume 2 PDF eBook
Author Elwyn R. Berlekamp
Publisher CRC Press
Pages 252
Release 2018-05-08
Genre Mathematics
ISBN 0429945604

Download Winning Ways for Your Mathematical Plays, Volume 2 Book in PDF, Epub and Kindle

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