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On Numbers and Games

2000-12-11 Mathematics
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Release : 2000-12-11
Genre : Mathematics
Kind : eBook
Book Rating : 277/5 ( reviews)

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Book Synopsis On Numbers and Games by : John H. Conway

Download or read book On Numbers and Games written by John H. Conway. This book was released on 2000-12-11. 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.

On Numbers and Games

2000-12-11 Mathematics
Download On Numbers and Games PDF Online Free

Author :
Release : 2000-12-11
Genre : Mathematics
Kind : eBook
Book Rating : 152/5 ( reviews)

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Book Synopsis On Numbers and Games by : John H. Conway

Download or read book On Numbers and Games written by John H. Conway. This book was released on 2000-12-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

On Numbers and Games

1976 Mathematics
Download On Numbers and Games PDF Online Free

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Release : 1976
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis On Numbers and Games by : John Horton Conway

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

Winning Ways for Your Mathematical Plays

2018-05-08 Mathematics
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Release : 2018-05-08
Genre : Mathematics
Kind : eBook
Book Rating : 590/5 ( reviews)

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Book Synopsis Winning Ways for Your Mathematical Plays by : Elwyn R. Berlekamp

Download or read book Winning Ways for Your Mathematical Plays written by Elwyn R. Berlekamp. This book was released on 2018-05-08. 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.

Surreal Numbers

1974 Computers
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Release : 1974
Genre : Computers
Kind : eBook
Book Rating : 125/5 ( reviews)

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Book Synopsis Surreal Numbers by : Donald Ervin Knuth

Download or read book Surreal Numbers written by Donald Ervin Knuth. This book was released on 1974. 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

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