Diophantine Analysis
Course Notes from a Summer School
Editors: Steuding, Jörn (Ed.)
Free Preview- 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
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- About this Textbook
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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.
- About the authors
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Jörn Steuding is professor at the Department of Mathematics, University of Würzburg, Germany.
- Table of contents (4 chapters)
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Linear Forms in Logarithms
Pages 1-59
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Metric Diophantine Approximation—From Continued Fractions to Fractals
Pages 61-127
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A Geometric Face of Diophantine Analysis
Pages 129-174
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Historical Face of Number Theory(ists) at the Turn of the 19th Century
Pages 175-229
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Table of contents (4 chapters)
- Download Preface 1 PDF (56.3 KB)
- Download Sample pages 2 PDF (576.1 KB)
- Download Table of contents PDF (38.3 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Diophantine Analysis
- Book Subtitle
- Course Notes from a Summer School
- Editors
-
- Jörn Steuding
- Series Title
- Trends in Mathematics
- Copyright
- 2016
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer International Publishing AG
- eBook ISBN
- 978-3-319-48817-2
- DOI
- 10.1007/978-3-319-48817-2
- Hardcover ISBN
- 978-3-319-48816-5
- Softcover ISBN
- 978-3-319-84020-8
- Series ISSN
- 2297-0215
- Edition Number
- 1
- Number of Pages
- XI, 232
- Number of Illustrations
- 3 b/w illustrations, 31 illustrations in colour
- Topics
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