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Diophantine Analysis: Course Notes from a Summer School /
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Details
Dewey Class
512.7
Titel
Diophantine Analysis ([EBook]) : Course Notes from a Summer School / / edited by Jörn Steuding.
Added Personal Name
Steuding, Jörn
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Other name(s)
SpringerLink (Online service)
Veröffentl
Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2016.
Physical Details
XI, 232 p. 34 illus., 31 illus. in color. : online resource.
Reihe
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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Mathematics
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Number Theory
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Authors:
Steuding, Jörn
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Trends in mathematics
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512.7
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