Trends in Mathematics

Diophantine Analysis

Course Notes from a Summer School

Editors: Steuding, Jörn (Ed.)

  • 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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eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-319-48817-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-48816-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-84020-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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

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

Table of contents (4 chapters)

  • Linear Forms in Logarithms

    Bujačić, Sanda (et al.)

    Pages 1-59

    Preview Buy Chapter 30,19 €
  • Metric Diophantine Approximation—From Continued Fractions to Fractals

    Kristensen, Simon

    Pages 61-127

    Preview Buy Chapter 30,19 €
  • A Geometric Face of Diophantine Analysis

    Matala-aho, Tapani

    Pages 129-174

    Preview Buy Chapter 30,19 €
  • Historical Face of Number Theory(ists) at the Turn of the 19th Century

    Oswald, Nicola

    Pages 175-229

    Preview Buy Chapter 30,19 €

Buy this book

eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-319-48817-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-48816-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-84020-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
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 and Tables
3 b/w illustrations, 31 illustrations in colour
Topics