On Numbers and Games

摘要: ONAG, as the book is commonly known, one of those rare publications that sprang to life in a moment creative energy and has remained influential for over quarter century. Originally written define relation between theories transfinite numbers mathematical games, resulting work mathematically sophisticated but eminently enjoyable guide game theory. By defining strengths positions certain author arrives at new class, surreal numbers, includes both real ordinal numbers. These are applied author's analysis strategies. The additions Second Edition present recent developments area theory, with concentration on additive theory partizan games.