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Diophantine Analysis = Course Notes from a Summer School /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Diophantine Analysis/ edited by Jörn Steuding.
Reminder of title:	Course Notes from a Summer School /
other author:	Steuding, Jörn.
Description:	XI, 232 p. 34 illus., 31 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Number theory. -
Online resource:	https://doi.org/10.1007/978-3-319-48817-2
ISBN:	9783319488172

Diophantine Analysis = Course Notes from a Summer School /
Diophantine AnalysisCourse Notes from a Summer School /[electronic resource] :edited by Jörn Steuding. - 1st ed. 2016. - XI, 232 p. 34 illus., 31 illus. in color.online resource. - Trends in Mathematics,2297-0215. - Trends in Mathematics,.

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).

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.

ISBN: 9783319488172

Standard No.: 10.1007/978-3-319-48817-2doiSubjects--Topical Terms:

527883
Number theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7

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520 $a 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.
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