Diophantine analysis : course notes from a Summer School / Jörn Steuding, editor
2016
QA242
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Title
Diophantine analysis : course notes from a Summer School / Jörn Steuding, editor
ISBN
9783319488172 (electronic book)
3319488171 (electronic book)
9783319488165
3319488171 (electronic book)
9783319488165
Published
Cham : Birkhäuser, 2016
Language
English
Description
1 online resource (xi, 232 pages) : illustrations.
Item Number
10.1007/978-3-319-48817-2 doi
10.1007/978-3-319-48817-2
10.1007/978-3-319-48817-2
Call Number
QA242
Dewey Decimal Classification
512.7/4
512.7
512.7
Summary
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 Bujaďić 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
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 Bujaďić 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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text file PDF
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Trends in mathematics.
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Table of Contents
1. Linear Forms in Logarithms (by Sanda Bujaďić, 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)
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)