On Numbers and Games
Autor John H. Conwayen Limba Engleză Hardback – 11 dec 2000
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Specificații
ISBN-13: 9781568811277
ISBN-10: 1568811276
Pagini: 254
Ilustrații: 130 Illustrations.(some col.).
Dimensiuni: 152 x 229 x 19 mm
Greutate: 0.63 kg
Ediția:Revised
Editura: CRC Press
Colecția A K Peters/CRC Press
ISBN-10: 1568811276
Pagini: 254
Ilustrații: 130 Illustrations.(some col.).
Dimensiuni: 152 x 229 x 19 mm
Greutate: 0.63 kg
Ediția:Revised
Editura: CRC Press
Colecția A K Peters/CRC Press
Public țintă
Professional Practice & DevelopmentCuprins
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 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
Notă biografică
John H. Conway- John von Neumann Professor of Mathematics, Princeton University
Descriere
Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class that includes both real numbers and ordinal numbers: surreal numbers. The second edition presents developments in mathematical game theory, focusing on surreal numbers and the additive theory of partizan games.