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Winning Ways for Your Mathematical Plays

Winning Ways for Your Mathematical Plays
Author: Elwyn R. Berlekamp
Publisher: CRC Press
Total Pages: 296
Release: 2018-05-08
Genre: Mathematics
ISBN: 0429945558

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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 2

Winning Ways for Your Mathematical Plays, Volume 2
Author: Elwyn R. Berlekamp
Publisher: CRC Press
Total Pages: 251
Release: 2018-05-08
Genre: Mathematics
ISBN: 0429945604

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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 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


Winning Ways for Your Mathematical Plays, Volume 4

Winning Ways for Your Mathematical Plays, Volume 4
Author: Elwyn R. Berlekamp
Publisher: CRC Press
Total 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, Volume 3

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

Download Winning Ways for Your Mathematical Plays, Volume 3 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 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

Winning Ways for Your Mathematical Plays
Author: Elwyn R. Berlekamp
Publisher: CRC Press
Total Pages: 324
Release: 2018-05-08
Genre: Mathematics
ISBN: 0429945590

Download Winning Ways for Your Mathematical Plays Book in PDF, ePub and Kindle

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.


Combinatorial Game Theory

Combinatorial Game Theory
Author: Aaron N. Siegel
Publisher: American Mathematical Soc.
Total 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
Author: John H. Conway
Publisher: CRC Press
Total 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.


How Not to Be Wrong

How Not to Be Wrong
Author: Jordan Ellenberg
Publisher: Penguin
Total Pages: 482
Release: 2015-05-26
Genre: Mathematics
ISBN: 0143127535

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“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.


Games, Puzzles, and Computation

Games, Puzzles, and Computation
Author: Robert A. Hearn
Publisher: CRC Press
Total Pages: 250
Release: 2009-06-30
Genre: Mathematics
ISBN: 1439865051

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The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computation-quite different from the usual models of automata and circuits-offering a new way of thinking about computation. The appen


The Dots and Boxes Game

The Dots and Boxes Game
Author: Elwyn R. Berlekamp
Publisher: CRC Press
Total Pages: 144
Release: 2000-07-18
Genre: Mathematics
ISBN: 1482208490

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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