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Diophantine Analysis

  • Fester Einband
  • 244 Seiten
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Leseprobe
This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master a... Weiterlesen
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Beschreibung

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 Bujai 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.



Present four different (nevertheless related) topics in Diophantine Analysis

Each part serves as a self-contained introduction to the topic

Each part present central results, relevant applications and open problems



Autorentext

Jörn Steuding is professor at the Department of Mathematics, University of Würzburg, Germany. 



Inhalt

1. Linear Forms in Logarithms (by Sanda Bujai, 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)

Produktinformationen

Titel: Diophantine Analysis
Untertitel: Course Notes from a Summer School
Beiträge von:
Editor:
EAN: 9783319488165
ISBN: 3319488163
Format: Fester Einband
Herausgeber: Springer International Publishing
Genre: Mathematik
Anzahl Seiten: 244
Gewicht: 535g
Größe: H241mm x B160mm x T19mm
Jahr: 2016
Auflage: 1st ed. 2016

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