Book:John H. Conway/On Numbers And Games

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