# Book:John H. Conway/On Numbers And Games

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## John H. Conway:

## John H. Conway: *On Numbers And Games*

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

- ISBN 1-56881-127-6

### Subject Matter

### 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 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