On numbers and games /

"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."--Cover.

Bibliographic Details
Main Author:	Conway, John H. (John Horton)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Natick, Mass. : A.K. Peters, ©2001.
Edition:	2nd ed.
Subjects:	Number theory. Game theory. Game Theory Jeux, Théorie des. Nombres, Théorie des. Théorie des nombres. Théorie des jeux. Game theory Number theory Mathematisches Spiel Spieltheorie Transfinite Zahl Zahlentheorie Speltheorie. Getaltheorie. Teoria dos jogos. Teoria dos números. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

All Numbers Great and Small
The Class No is a Field
The Real and Ordinal Numbers
The Structure of the Genral Surreal Number
Algebra and Analysis of Numbers
Number Theory in the Land of Oz
The Curious Field On[subscript 2]
Playing Several Games at Once
Some Games are Already Numbers
On Games and Numbers
Simplifying Games
Impartial Games and the Game of Nim
How to Lose when you Must
Animating Functions, Welter's Game and Hackenbush Unrestrained
How to Play Several Games at Once in a Dozen Different Ways
Ups, Downs and Bynumbers
The Long and the Short and the Small.