ABSTRACT

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

part |2 pages

Zeroth Part ... On Numbers

chapter 0|12 pages

All Numbers Great and Small

chapter 1|8 pages

The Class No is a Field

chapter 2|6 pages

The Real and Ordinal Number

chapter 3|10 pages

The Structure of the Genral Surreal Number

chapter 4|6 pages

Algebra and Analysis of Numbers

chapter 5|5 pages

Number Theory in the Land of OZ

chapter 6|19 pages

The Curious Field On2

part |2 pages

First Part ... and Games

chapter 7|10 pages

Playing Several Games at Once

chapter 8|16 pages

Some Games are Already Numbers

chapter 9|12 pages

On Games and Numbers

chapter 10|13 pages

Simplifying Games

chapter 11|14 pages

Impartial Games and the Game of Nim

chapter 12|17 pages

How to Lose when you Must

chapter 15|17 pages

Ups, Downs and Bynumbers

chapter 16|20 pages

The Long and the Short and the Small