LEADER 02930nam 22005055 450 001 9910392722003321 005 20200705115210.0 010 $a3-319-48817-1 024 7 $a10.1007/978-3-319-48817-2 035 $a(CKB)3710000001006489 035 $a(DE-He213)978-3-319-48817-2 035 $a(MiAaPQ)EBC6312394 035 $a(MiAaPQ)EBC5610573 035 $a(Au-PeEL)EBL5610573 035 $a(OCoLC)1079006652 035 $a(PPN)197455484 035 $a(EXLCZ)993710000001006489 100 $a20161221d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDiophantine Analysis $eCourse Notes from a Summer School /$fedited by Jörn Steuding 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (XI, 232 p. 34 illus., 31 illus. in color.) 225 1 $aTrends in Mathematics,$x2297-0215 311 $a3-319-48816-3 327 $a1. Linear Forms in Logarithms (by Sanda Buja?i?, Alan Filipin) -- 2. Metric Diophantine Approximation - From Continued Fractions to Fractals (by Simon Kristensen) -- 3. A Geometric Face of Diophantine Analysis (by Tapani Matala-aho) -- 4. Historical Face of Number Theory(ists) at the turn of the 19th Century (by Nicola M.R. Oswald). 330 $aThis collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker?s method of bounding linear forms in logarithms (authored by Sanda Buja?i? and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski?s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book. 410 0$aTrends in Mathematics,$x2297-0215 606 $aNumber theory 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 615 0$aNumber theory. 615 14$aNumber Theory. 676 $a512.74 702 $aSteuding$b Jörn$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910392722003321 996 $aDiophantine analysis$9383798 997 $aUNINA