On Numbers And Games

Author : John H. Conway
Publisher : CRC Press
ISBN 13 : 9781568811277
Total Pages : 268 pages
Book Rating : 4.76/5 ( download)

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Download or read book On Numbers and Games written by John H. Conway and published by CRC Press. This book was released on 2000-12-11 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. 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, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.

Author : John H. Conway
Publisher : CRC Press
ISBN 13 : 1439864152
Total Pages : 253 pages
Book Rating : 4.59/5 ( download)

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Download or read book On Numbers and Games written by John H. Conway and published by CRC Press. This book was released on 2000-12-11 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but

Author : John Horton Conway
Publisher :
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.42/5 ( download)

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Download or read book On Numbers and Games written by John Horton Conway and published by . This book was released on 1976 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Elwyn R. Berlekamp
Publisher : CRC Press
ISBN 13 : 0429945558
Total Pages : 296 pages
Book Rating : 4.57/5 ( download)

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Download or read book Winning Ways for Your Mathematical Plays written by Elwyn R. Berlekamp and published by CRC Press. This book was released on 2018-05-08 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Donald Ervin Knuth
Publisher : Addison-Wesley Professional
ISBN 13 : 9780201038125
Total Pages : 130 pages
Book Rating : 4.29/5 ( download)

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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

Author : Paul Teller
Publisher : Princeton University Press
ISBN 13 : 0691216290
Total Pages : 190 pages
Book Rating : 4.94/5 ( download)

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Download or read book An Interpretive Introduction to Quantum Field Theory written by Paul Teller and published by Princeton University Press. This book was released on 2020-07-21 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics is a subject that has captured the imagination of a surprisingly broad range of thinkers, including many philosophers of science. Quantum field theory, however, is a subject that has been discussed mostly by physicists. This is the first book to present quantum field theory in a manner that makes it accessible to philosophers. Because it presents a lucid view of the theory and debates that surround the theory, An Interpretive Introduction to Quantum Field Theory will interest students of physics as well as students of philosophy. Paul Teller presents the basic ideas of quantum field theory in a way that is understandable to readers who are familiar with non-relativistic quantum mechanics. He provides information about the physics of the theory without calculational detail, and he enlightens readers on how to think about the theory physically. Along the way, he dismantles some popular myths and clarifies the novel ways in which quantum field theory is both a theory about fields and about particles. His goal is to raise questions about the philosophical implications of the theory and to offer some tentative interpretive views of his own. This provocative and thoughtful book challenges philosophers to extend their thinking beyond the realm of quantum mechanics and it challenges physicists to consider the philosophical issues that their explorations have encouraged.

Author : Richard Evan Schwartz
Publisher : American Mathematical Soc.
ISBN 13 : 1470422093
Total Pages : 246 pages
Book Rating : 4.97/5 ( download)

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Download or read book You Can Count on Monsters written by Richard Evan Schwartz and published by American Mathematical Soc.. This book was released on 2015-03-19 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique teaching tool that takes math lovers on a journey designed to motivate kids (and kids at heart) to learn the fun of factoring and prime numbers. This volume visually explores the concepts of factoring and the role of prime and composite numbers. The playful and colorful monsters are designed to give children (and even older audiences) an intuitive understanding of the building blocks of numbers and the basics of multiplication. The introduction and appendices can also help adult readers answer questions about factoring from their young audience. The artwork is crisp and creative and the colors are bright and engaging, making this volume a welcome deviation from standard math texts. Any person, regardless of age, can profit from reading this book. Readers will find themselves returning to its pages for a very long time, continually learning from and getting to know the monsters as their knowledge expands. You Can Count on Monsters is a magnificent addition for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the visually fascinating world of the numbers 1 through 100.

Author : Shane White
Publisher : Harvard University Press
ISBN 13 : 9780674051072
Total Pages : 314 pages
Book Rating : 4.76/5 ( download)

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Download or read book Playing the Numbers written by Shane White and published by Harvard University Press. This book was released on 2010-05-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most ubiquitous feature of Harlem life between the world wars was the game of “numbers.” Thousands of wagers were placed daily. Playing the Numbers tells the story of this illegal form of gambling and the central role it played in the lives of African Americans who flooded into Harlem in the wake of World War I.

Author : Jonah Keri
Publisher : Basic Books
ISBN 13 : 0465003737
Total Pages : 520 pages
Book Rating : 4.30/5 ( download)

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Download or read book Baseball Between the Numbers written by Jonah Keri and published by Basic Books. This book was released on 2007-02-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the numbers-obsessed sport of baseball, statistics don't merely record what players, managers, and owners have done. Properly understood, they can tell us how the teams we root for could employ better strategies, put more effective players on the field, and win more games. The revolution in baseball statistics that began in the 1970s is a controversial subject that professionals and fans alike argue over without end. Despite this fundamental change in the way we watch and understand the sport, no one has written the book that reveals, across every area of strategy and management, how the best practitioners of statistical analysis in baseball-people like Bill James, Billy Beane, and Theo Epstein-think about numbers and the game. Baseball Between the Numbers is that book. In separate chapters covering every aspect of the game, from hitting, pitching, and fielding to roster construction and the scouting and drafting of players, the experts at Baseball Prospectus examine the subtle, hidden aspects of the game, bring them out into the open, and show us how our favorite teams could win more games. This is a book that every fan, every follower of sports radio, every fantasy player, every coach, and every player, at every level, can learn from and enjoy.

Author : Tim Glynne-Jones
Publisher : Arcturus Publishing
ISBN 13 : 1848584407
Total Pages : pages
Book Rating : 4.02/5 ( download)

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Download or read book The Book of Numbers written by Tim Glynne-Jones and published by Arcturus Publishing. This book was released on 2011-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: From zero to infinity, The Book of Numbers is a handy-sized volume which opens up a new realm of knowledge. Where else in one place could you find out how the illegal numbers racket worked, what makes some people see numbers as colours, why the standard US rail gauge exactly matches the axle width of an ancient Roman chariot, and the numerologic...