LEADER 02807nam 2200709 a 450 001 9910457830903321 005 20200520144314.0 010 $a1-283-43975-1 010 $a9786613439758 010 $a1-4008-4171-2 024 7 $a10.1515/9781400841714 035 $a(CKB)2550000000079224 035 $a(EBL)843813 035 $a(OCoLC)773567194 035 $a(SSID)ssj0000589965 035 $a(PQKBManifestationID)11410322 035 $a(PQKBTitleCode)TC0000589965 035 $a(PQKBWorkID)10664893 035 $a(PQKB)11693609 035 $a(MiAaPQ)EBC843813 035 $a(DE-B1597)447469 035 $a(OCoLC)922637586 035 $a(OCoLC)973401017 035 $a(DE-B1597)9781400841714 035 $a(PPN)187345767 035 $a(Au-PeEL)EBL843813 035 $a(CaPaEBR)ebr10527170 035 $a(CaONFJC)MIL343975 035 $a(EXLCZ)992550000000079224 100 $a20111122d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aElliptic tales$b[electronic resource] $ecurves, counting, and number theory /$fAvner Ash, Robert Gross 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$d2012 215 $a1 online resource (276 p.) 300 $aDescription based upon print version of record. 311 $a0-691-15119-9 320 $aIncludes bibliographical references and index. 327 $apt. 1. Degree -- pt. 2. Elliptic curves and algebra -- pt. 3. Elliptic curves and analysis. 330 $aElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which may appear simple, but arise from some very deep-and often very mystifying-mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and, in the process, venture to the very frontiers of modern mathematics. 606 $aElliptic functions 606 $aCurves, Elliptic 606 $aNumber theory 608 $aElectronic books. 615 0$aElliptic functions. 615 0$aCurves, Elliptic. 615 0$aNumber theory. 676 $a515/.983 686 $aSK 180$2rvk 700 $aAsh$b Avner$f1949-$01034316 701 $aGross$b Robert$f1959-$01046281 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910457830903321 996 $aElliptic tales$92473084 997 $aUNINA