On numbers and games

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On numbers and games / J.H. Conway

版:: 2nd ed
資料種別:: 図書
出版情報:: Natick, Mass. : A K Peters, c2001
形態:: xi, 242 p. ; 24 cm
著者名:: Conway, John Horton <DA01048920>
ISBN:: 9781568811277 [1568811276]
書誌ID:: BA50758438

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注記:

Includes bibliographical references and index
Publishing place of some printings: Wellesley, Mass

主題:

Game theory; Number theory

言語:

英語

目次情報:

Prologue

Preface

... On Numbers / Part 0：

All Numbers Great and Small / Chapter 0：

The Class No is a Field / Chapter 1：

The Real and Ordinal Numbers / Chapter 2：

The Structure of the Genral Surreal Number / Chapter 3：

Algebra and Analysis of Numbers / Chapter 4：

Number Theory in the Land of Oz / Chapter 5：

The Curious Field On[subscript 2] / Chapter 6：

Appendix to Part Zero

... and Games / Part 1：

Playing Several Games at Once / Chapter 7：

Some Games are Already Numbers / Chapter 8：

On Games and Numbers / Chapter 9：

Simplifying Games / Chapter 10：

Impartial Games and the Game of Nim / Chapter 11：

How to Lose when you Must / Chapter 12：

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

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

Ups, Downs and Bynumbers / Chapter 15：

The Long and the Short and the Small / Chapter 16：

Epilogue

Appendix

Index

Prologue

Preface

... On Numbers / Part 0：

All Numbers Great and Small / Chapter 0：

The Class No is a Field / Chapter 1：

The Real and Ordinal Numbers / Chapter 2：

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