Book:John H. Conway/On Numbers And Games

John H. Conway: On Numbers And Games

Published $\text {1976}$, A K Peters, Ltd.

ISBN 1-56881-127-6

Subject Matter

• Game Theory

Contents

Prologue

Preface

Zeroth Part ... On Numbers

Chapter 0: All Numbers Great and Small

Chapter 1: The Class No is a Field

Chapter 2: The Real and Ordinal Numbers

Chapter 3: The Structure of the General Surreal Number

Chapter 4: Algebra and Analysis of Numbers

Chapter 5: Number Theory in the Land of Oz

Chapter 6: The Curious Field On₂

Appendix to Part Zero

First Part ... and Games

Chapter 7: Playing Several Games at Once

Chapter 8: Some Games are Already Numbers

Chapter 9: On Games and Numbers

Chapter 10: Simplifying Games

Chapter 11: Impartial Games and the Game of Nim

Chapter 12: How to Lose when you Must

Chapter 13: Animating Functions, Welter's Game and Hackenbush Unrestrained

Chapter 14: How to Play Several Games at Once in a Dozen Different Ways

Chapter 15: Ups, Downs and Bynumbers

Chapter 16: The Long and the Short and the Small

Epilogue

Appendix

Index

Further Editions

• 2001: John H. Conway: On Numbers And Games (2nd ed.)