On Numbers and Games Conway Professor John H.
On Numbers and Games Conway Professor John H. 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…
Specifikacia On Numbers and Games Conway Professor John H.
On Numbers and Games Conway Professor John H.
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. 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. 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.
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 These surreal numbers are applied in the author's mathematical analysis of game strategies.