02755nam 22005895 450 991029997480332120200629130232.088-7642-517-910.1007/978-88-7642-517-2(CKB)3710000000416946(SSID)ssj0001501570(PQKBManifestationID)11879165(PQKBTitleCode)TC0001501570(PQKBWorkID)11447127(PQKB)10005532(DE-He213)978-88-7642-517-2(MiAaPQ)EBC6311901(MiAaPQ)EBC5578449(Au-PeEL)EBL5578449(OCoLC)1066196566(PPN)186027524(EXLCZ)99371000000041694620150505d2014 u| 0engurnn|008mamaatxtccrLecture Notes on Diophantine Analysis /by Umberto Zannier1st ed. 2014.Pisa :Scuola Normale Superiore :Imprint: Edizioni della Normale,2014.1 online resource (XVI, 239 p.) Lecture Notes (Scuola Normale Superiore) ;8Bibliographic Level Mode of Issuance: Monograph88-7642-341-9 These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several Supplements, hinted exercises and an Appendix on recent work on heights.Lecture Notes (Scuola Normale Superiore) ;8Mathematical analysisAnalysis (Mathematics)Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Mathematical analysis.Analysis (Mathematics).Analysis.512.74Zannier Umbertoauthttp://id.loc.gov/vocabulary/relators/aut149228MiAaPQMiAaPQMiAaPQBOOK9910299974803321Lecture Notes on Diophantine Analysis1564806UNINA