On numbers and games /

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ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally written to define the relation between the theories of transfinite numbers and mathematical games, the re...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Conway, John H. (John Horton)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Natick, Mass. : Chapman and Hall/CRC, [2000]
©2000
Edición:Second edition.
Temas:
Game theory.
Number theory.
Game Theory
Théorie des jeux.
Théorie des nombres.
Game theory
Number theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Zeroth part : On numbers ; All numbers great and small
  • The class no is a field
  • The real and ordinal numbers
  • The structure of the general surreal number
  • Algebra and analysis of numbers
  • Number theory in the Land of Oz
  • The curious field On₂
  • Appendix to Part Zero
  • First part : And games ; Playing several games at once
  • Some games are already numbers
  • On games and numbers
  • Simplifying games
  • Impartial games and the game of Nim
  • How to lose when you must
  • Animating functions, Welter's game and Hackenbush unrestrained
  • How to play several games at once in a dozen different ways
  • Ups, downs and bynumbers
  • The long and the short and the small
  • Epilogue.

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