دانلود کتاب On numbers and games

فهرست مطالب :

Cover......Page 1
Title page......Page 2
Prologue......Page 4
Preface......Page 6
Zeroth Part ... On Numbers......Page 12
Chapter 0: All Numbers Great and Small......Page 14
Chapter 1: The Class No is a Field......Page 26
Chapter 2: The Real and Ordinal Numbers......Page 34
Chapter 3: The Structure of the General Surreal Number......Page 40
Chapter 4: Aigebra and Analysis of Numbers......Page 50
Chapter 5: Number Theory in the Land of Oz......Page 56
Chapter 6: The Curious Field On₂......Page 61
Appendix to Part Zero......Page 75
First Part ... and Games......Page 80
Chapter 7: Playing Several Games at Once......Page 82
Chapter 8 : Some Games are Already Numbers......Page 92
Chapter 9: On Games and Numbers......Page 108
Chapter 10: Simplifying Games......Page 120
Chapter Il: Impartial Games and the Game of Nim......Page 133
Chapter 12: How to Lose when you Must......Page 147
Chapter 13: Animating Functions, Welter's Game and Hackenbush Unrestrained......Page 164
Chapter 14: How to Play Several Games at Once in a Dozen Different Ways......Page 184
Chapter 15: Ups, Downs and Bynumbers......Page 199
Chapter 16: The Long and the Short and the Small......Page 216
Epilogue......Page 236
Appendix......Page 240
Index......Page 246