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Diophantine Analysis: Course Notes from a Summer School /

Diophantine Analysis: Course Notes from a Summer School /
Catalogue Information
Field name Details
Dewey Class 512.7
Title Diophantine Analysis ([EBook]) : Course Notes from a Summer School / / edited by Jörn Steuding.
Added Personal Name Steuding, Jörn editor.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2016.
Physical Details XI, 232 p. 34 illus., 31 illus. in color. : online resource.
Series Trends in mathematics 2297-0215
ISBN 9783319488172
Summary Note This 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.:
Contents note 1. 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).
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-48817-2
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