02773nam 2200697 a 450 991077895850332120200520144314.01-283-43975-197866134397581-4008-4171-210.1515/9781400841714(CKB)2550000000079224(EBL)843813(OCoLC)773567194(SSID)ssj0000589965(PQKBManifestationID)11410322(PQKBTitleCode)TC0000589965(PQKBWorkID)10664893(PQKB)11693609(MiAaPQ)EBC843813(DE-B1597)447469(OCoLC)922637586(OCoLC)973401017(DE-B1597)9781400841714(Au-PeEL)EBL843813(CaPaEBR)ebr10527170(CaONFJC)MIL343975(PPN)187345767(EXLCZ)99255000000007922420111122d2012 uy 0engur|n|---|||||txtccrElliptic tales[electronic resource] curves, counting, and number theory /Avner Ash, Robert GrossCourse BookPrinceton Princeton University Press20121 online resource (276 p.)Description based upon print version of record.0-691-15119-9 Includes bibliographical references and index.pt. 1. Degree -- pt. 2. Elliptic curves and algebra -- pt. 3. Elliptic curves and analysis.Elliptic 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.Elliptic functionsCurves, EllipticNumber theoryElliptic functions.Curves, Elliptic.Number theory.515/.983SK 180rvkAsh Avner1949-1034316Gross Robert1959-1511768MiAaPQMiAaPQMiAaPQBOOK9910778958503321Elliptic tales3745295UNINA