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.
- ISBN10 0121863506
- ISBN13 9780121863500
- Publish Date 1 January 1976
- Publish Status Out of Print
- Out of Print 14 August 1992
- Publish Country US
- Publisher Elsevier Science Publishing Co Inc
- Imprint Academic Press Inc
- Format Hardcover
- Pages 247
- Language English