On Numbers and Games / / John H. Conway
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| Autore: |
Conway John H.
|
| Titolo: |
On Numbers and Games / / John H. Conway
|
| Pubblicazione: | Boca Raton, FL : , : CRC Press, , 2000 |
| Edizione: | Second edition. |
| Descrizione fisica: | 1 online resource (xi, 242 pages) : illustrations |
| Disciplina: | 519.3 |
| Soggetto topico: | Game theory |
| Number theory | |
| Note generali: | Includes index. |
| Nota di contenuto: | part 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 Number -- chapter 3 The Structure of the Genral Surreal Number -- chapter 4 Algebra and Analysis of Numbers -- chapter 5 Number Theory in the Land of OZ -- chapter 6 The Curious Field On2 -- part 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. |
| Sommario/riassunto: | "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 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, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games."--Provided by publisher. |
| Titolo autorizzato: | On numbers and games |
| ISBN: | 9781040053133 |
| 1040053130 | |
| 9780429062438 | |
| 0429062435 | |
| 9781439864159 | |
| 1439864152 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910959710203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |