On Numbers and Games

On Numbers and Games

Forfatter: John H. Conway
Forlag: CRC Press
Utgave: 1
Utgivelsesår: 2000
ISBN: 1568811276

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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.

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