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Diophantine Analysis

Course Notes from a Summer School
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Description

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.

Author Biography:

Jörn Steuding is professor at the Department of Mathematics, University of Würzburg, Germany. 
Release date Australia
December 30th, 2016
Audience
  • Professional & Vocational
Contributors
  • Contributions by Alan Filipin
  • Contributions by Nicola M.R. Oswald
  • Contributions by Sanda Bujacic
  • Contributions by Simon Kristensen
  • Contributions by Tapani Matala-aho
  • Edited by Jorn Steuding
Edition
1st ed. 2016
Illustrations
31 Illustrations, color; 3 Illustrations, black and white; XI, 232 p. 34 illus., 31 illus. in color.
Pages
232
Dimensions
155x235x16
ISBN-13
9783319488165
Product ID
26203296

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