LEADER 04040nam 22007212 450 001 9910779341703321 005 20151005020622.0 010 $a1-139-88768-8 010 $a1-139-56469-2 010 $a1-139-54990-1 010 $a1-139-17583-1 010 $a1-139-55611-8 010 $a1-139-55486-7 010 $a1-139-55241-4 010 $a1-283-74619-0 010 $a1-139-55115-9 035 $a(CKB)2550000000708469 035 $a(EBL)989126 035 $a(OCoLC)818859088 035 $a(SSID)ssj0000755803 035 $a(PQKBManifestationID)12257295 035 $a(PQKBTitleCode)TC0000755803 035 $a(PQKBWorkID)10749532 035 $a(PQKB)10170806 035 $a(UkCbUP)CR9781139175838 035 $a(MiAaPQ)EBC989126 035 $a(Au-PeEL)EBL989126 035 $a(CaPaEBR)ebr10621716 035 $a(CaONFJC)MIL405869 035 $z(PPN)261358154 035 $a(PPN)175329974 035 $a(EXLCZ)992550000000708469 100 $a20111014d2012|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGames and mathematics $esubtle connections /$fDavid Wells$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2012. 215 $a1 online resource (x, 246 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-02460-9 311 $a1-107-69091-9 320 $aIncludes bibliographical references and index. 327 $aMachine generated contents note: Introduction; Part I. Mathematical recreations and abstract games: 1. Recreations from Euler to Lucas; 2. Four abstract games; 3. Mathematics and games: mysterious connections; 4. Why chess is not mathematics; 5. Proving versus checking; Part II. Mathematics: game-like, scientific and perceptual: 6. Game-like mathematics; 7. Euclid and the rules of his geometrical game; 8. New concepts and new objects; 9. Convergent and divergent series; 10. Mathematics becomes game-like; 11. Maths as science; 12. Numbers and sequences; 13. Computers and mathematics; 14. Mathematics and the sciences; 15. Minimum paths from Heron to Feynmann; 16. The foundations: perception, imagination and insight; 17. Structure; 18. Hidden structure, common structure; 19. Mathematics and beauty; 20. Origins: formality in the everyday world; Bibliography; Index. 330 $aThe appeal of games and puzzles is timeless and universal. In this unique book, David Wells explores the fascinating connections between games and mathematics, proving that mathematics is not just about tedious calculation but imagination, insight and intuition. The first part of the book introduces games, puzzles and mathematical recreations, including knight tours on a chessboard. The second part explains how thinking about playing games can mirror the thinking of a mathematician, using scientific investigation, tactics and strategy, and sharp observation. Finally the author considers game-like features found in a wide range of human behaviours, illuminating the role of mathematics and helping to explain why it exists at all. This thought-provoking book is perfect for anyone with a thirst for mathematics and its hidden beauty; a good high school grounding in mathematics is all the background that is required, and the puzzles and games will suit pupils from 14 years. 517 3 $aGames & Mathematics 606 $aGames$xMathematical models 606 $aMathematical recreations 606 $aMathematics$xPsychological aspects 615 0$aGames$xMathematical models. 615 0$aMathematical recreations. 615 0$aMathematics$xPsychological aspects. 676 $a510 686 $aMAT000000$2bisacsh 700 $aWells$b D. G$g(David G.),$0729357 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910779341703321 996 $aGames and mathematics$93726171 997 $aUNINA