03208oam 2200565I 450 991095971020332120230422034640.097810400531331040053130978042906243804290624359781439864159143986415210.1201/9781439864159 (CKB)4100000004817907(Au-PeEL)EBL5379110(CaPaEBR)ebr11554469(OCoLC)1035516087(OCoLC)1027754243(MiAaPQ)EBC5379110(OCoLC)1047570455(FINmELB)ELB143594(EXLCZ)99410000000481790720180706d2000 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierOn Numbers and Games /John H. ConwaySecond edition.Boca Raton, FL :CRC Press,2000.1 online resource (xi, 242 pages) illustrationsIncludes index.9781568811277 1568811276 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."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.Game theoryNumber theoryGame theory.Number theory.519.3Conway John H.41656FlBoTFGFlBoTFGBOOK9910959710203321On numbers and games1012722UNINA