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On numbers and games

Auteur : John H Conway
Éditeur: Natick, Mass. : A.K. Peters, ©2001.
Édition/format:   Livre imprimé : Anglais : 2nd edVoir toutes les éditions et tous les formats
Résumé:
"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.
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Détails

Type de document: Livre
Tous les auteurs / collaborateurs: John H Conway
ISBN: 1568811276 9781568811277
Numéro OCLC: 45024457
Notes: Includes index.
Description: xi, 242 pages : illustrations ; 24 cm
Contenu: 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.
Responsabilité: J.H. Conway.

Résumé:

"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.

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Données liées


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