LEADER 03038oam 2200493I 450 001 9910466861003321 005 20200520144314.0 010 $a0-429-06243-5 010 $a1-4398-6415-2 024 7 $a10.1201/9781439864159 035 $a(CKB)4100000004817907 035 $a(MiAaPQ)EBC5379110 035 $a(Au-PeEL)EBL5379110 035 $a(CaPaEBR)ebr11554469 035 $a(OCoLC)1035516087 035 $a(OCoLC)1027754243 035 $a(EXLCZ)994100000004817907 100 $a20180706d2000 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOn Numbers and Games /$fJohn H. Conway 205 $aSecond edition. 210 1$aBoca Raton, FL :$cCRC Press,$d2000. 215 $a1 online resource (xi, 242 pages) $cillustrations 300 $aIncludes index. 311 $a1-56881-127-6 327 $apart 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. 330 2 $a"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. 606 $aGame theory 606 $aNumber theory 608 $aElectronic books. 615 0$aGame theory. 615 0$aNumber theory. 676 $a519.3 700 $aConway$b John H.$041656 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910466861003321 996 $aOn numbers and games$91012722 997 $aUNINA