MARC Record from marc_columbia

LEADER: 03299cam a2200517 i 4500
001 15132509
005 20220326232536.0
006 m o d
007 cr |n|---|||||
008 180512s2000 maua o 001 0 eng d
035 $a(OCoLC)on1035516087
035 $a(NNC)15132509
040 $aEBLCP$beng$epn$cEBLCP$dYDX$dMERUC$dAU@$dOCLCQ$dOCLCO$dOCLCF$dOCLCQ$dTXI$dOCLCO$dK6U$dOCLCQ$dOCLCO
019 $a1021216801$a1080585583
020 $a9781439864159
020 $a1439864152
020 $z1568811276
020 $z9781568811277
035 $a(OCoLC)1035516087$z(OCoLC)1021216801$z(OCoLC)1080585583
050 4 $aQA241.C69 2001
082 04 $a519.3$221
049 $aZCUA
100 1 $aConway, John H.$q(John Horton)
245 10 $aOn numbers and games /$cJ.H. Horton.
250 $aSecond edition.
260 $aNatick, Mass. :$bChapman and Hall/CRC,$c[2000]
264 4 $c©2000
300 $a1 online resource (253 pages) :$billustrations
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
504 $aIncludes appendix and index.
505 0 $aZeroth 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.
520 $aONAG, 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.
588 0 $aPrint version record.
650 0 $aGame theory.
650 0 $aNumber theory.
650 2 $aGame Theory
650 6 $aThéorie des jeux.
650 6 $aThéorie des nombres.
650 7 $aGame theory.$2fast$0(OCoLC)fst00937501
650 7 $aNumber theory.$2fast$0(OCoLC)fst01041214
655 4 $aElectronic books.
776 08 $iPrint version:$aConway, John H.$tOn Numbers and Games.$dNatick : Chapman and Hall/CRC, ©2000$z9781568811277
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio15132509$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS