# On Numbers And Games

John Conway

## 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 On

_{2}

Appendix to Part Zero

*First Part ... and Games*

Chapter 7: Playing Several Games at OnceChapter 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

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