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Diophantine Analysis: Course Notes from a Summer School /
Tag	Description
020	$a9783319488172$9978-3-319-48817-2
082	$a512.7$223
099	$aOnline resource: Springer
245	$aDiophantine Analysis$h[EBook]$bCourse Notes from a Summer School /$cedited by Jörn Steuding.
260	$aCham :$bSpringer International Publishing :$bImprint: Birkhäuser,$c2016.
300	$aXI, 232 p. 34 illus., 31 illus. in color.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aTrends in Mathematics,$x2297-0215
505	$a1. Linear Forms in Logarithms (by Sanda Bujačić, 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).
520	$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 Bujačić 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aSteuding, Jörn.$eeditor.
710	$aSpringerLink (Online service)
830	$aTrends in Mathematics,$x2297-0215
856	$uhttp://dx.doi.org/10.1007/978-3-319-48817-2