On Numbers and Games
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.
What people are saying - Write a review
My Favourite Mathematical book. I first tried to read this in 8th grade, and got me into the realm of mathematics. I owe Conway my life's dream. Thank you for writing this.
One of the Best book I ever read. This is simply a beautiful mathematic construction.
The Class No is a Field
The Real and Ordinal Numbers
The Structure of the General Surreal Number
Algebra and Analysis of Numbers
Number Theory in the Land of Oz
The Curious Field On₂
Appendix to Part Zero
FIRST PART AND GAMES
Impartial Games and the Game of Nim
How to Lose when you Must
Animating Functions Welters 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
Playing Several Games at Once
Some Games are Already Numbers
On Games and Numbers