On Numbers And Games

Author : John H. Conway
Publisher : CRC Press
Page : 268 pages
File Size : 52,7 Mb
Release : 2000-12-11
Category : Mathematics
ISBN : 1568811276

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On Numbers and Games by John H. Conway Pdf

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
Page : 253 pages
File Size : 47,7 Mb
Release : 2000-12-11
Category : Mathematics
ISBN : 9781439864159

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On Numbers and Games by John H. Conway Pdf

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 : Unknown
Page : 256 pages
File Size : 52,8 Mb
Release : 1976
Category : Mathematics
ISBN : UOM:39015050452161

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On Numbers and Games by John Horton Conway Pdf

Author : Elwyn R. Berlekamp,John H. Conway,Richard K. Guy
Publisher : CRC Press
Page : 296 pages
File Size : 47,8 Mb
Release : 2018-05-08
Category : Mathematics
ISBN : 9780429945557

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Winning Ways for Your Mathematical Plays by Elwyn R. Berlekamp,John H. Conway,Richard K. Guy Pdf

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
Page : 130 pages
File Size : 51,5 Mb
Release : 1974
Category : Computers
ISBN : 0201038129

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Surreal Numbers by Donald Ervin Knuth Pdf

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
Page : 190 pages
File Size : 51,7 Mb
Release : 2020-07-21
Category : Science
ISBN : 9780691216294

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An Interpretive Introduction to Quantum Field Theory by Paul Teller Pdf

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 : David Wells
Publisher : Penguin UK
Page : 235 pages
File Size : 54,9 Mb
Release : 1997-09-04
Category : Mathematics
ISBN : 9780141929408

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The Penguin Dictionary of Curious and Interesting Numbers by David Wells Pdf

Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.

Author : John H. Conway,Richard Guy
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461240723

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The Book of Numbers by John H. Conway,Richard Guy Pdf

"...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL

Author : Michael Blastland,Andrew Dilnot
Publisher : Penguin
Page : 232 pages
File Size : 53,6 Mb
Release : 2008-12-26
Category : Social Science
ISBN : 9781440655289

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The Numbers Game by Michael Blastland,Andrew Dilnot Pdf

The Strunk and White of statistics team up to help the average person navigate the numbers in the news Drawing on their hugely popular BBC Radio 4 show More or Less, journalist Michael Blastland and internationally known economist Andrew Dilnot delight, amuse, and convert American mathphobes by showing how our everyday experiences make sense of numbers. The radical premise of The Numbers Game is to show how much we already know and give practical ways to use our knowledge to become cannier consumers of the media. If you've ever wondered what "average" really means, whether the scare stories about cancer risk should convince you to change your behavior, or whether a story you read in the paper is biased (and how), you need this book. Blastland and Dilnot show how to survive and thrive on the torrent of numbers that pours through everyday life.

Author : T Crump
Publisher : Routledge
Page : 219 pages
File Size : 54,9 Mb
Release : 2012-11-12
Category : Social Science
ISBN : 9781134935581

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Japanese Numbers Game by T Crump Pdf

An almost obsessional use of numbers characterizes Japanese popular culture. A wide variety of numerical formulae and strategies provide the means for explaining events and solving problems occurring in everyday life. These include such matters as the choice of the name for a child, ranking in almost any game or sport, the diagnosis and cure of illness or the decision to accept a new job. This text provides a general study of the field of Japanese popular numeracy. It introduces the reader to a world of numbers in which fortune-telling, the abacus and games involving numbers, as well as curious numerical names (of both people and places), illustrate the importance of systems of counting, calculation and forecasting. The study explores the cultural roots of attitudes towards numbers and makes suggestions about the contemporary implications of a culture in which mechanical numeracy (and number obsession) is general but the highest levels of academic mathematics still fall short of world standards.

Author : Tim Glynne-Jones
Publisher : Arcturus Publishing
Page : 310 pages
File Size : 53,7 Mb
Release : 2011-06-30
Category : Mathematics
ISBN : 9781848584402

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The Book of Numbers by Tim Glynne-Jones Pdf

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 numerological connection between Adolf Hitler and Osama Bin Laden?

Author : Ben Orlin
Publisher : Black Dog & Leventhal
Page : 556 pages
File Size : 48,8 Mb
Release : 2018-09-18
Category : Mathematics
ISBN : 9780316509022

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Math with Bad Drawings by Ben Orlin Pdf

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Author : Graham Flegg
Publisher : Courier Corporation
Page : 304 pages
File Size : 43,7 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486166513

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Numbers by Graham Flegg Pdf

Readable, jargon-free book examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic. "Surprisingly exciting." — Choice.

Author : Richard Evan Schwartz
Publisher : American Mathematical Soc.
Page : 246 pages
File Size : 52,7 Mb
Release : 2015-03-19
Category : Counting
ISBN : 9781470422097

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You Can Count on Monsters by Richard Evan Schwartz Pdf

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 : Jonah Keri,Baseball Prospectus
Publisher : Basic Books
Page : 520 pages
File Size : 47,9 Mb
Release : 2007-02-27
Category : Sports & Recreation
ISBN : 9780465003730

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Baseball Between the Numbers by Jonah Keri,Baseball Prospectus Pdf

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.