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BuchGebunden
232 Seiten
Englisch
Springererschienen am30.12.20161st ed. 2016
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 Bujacic 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.mehr
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EUR74,89
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Produkt

KlappentextThis 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 Bujacic 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.
Zusammenfassung
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

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-319-48816-5
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2016
Erscheinungsdatum30.12.2016
Auflage1st ed. 2016
Seiten232 Seiten
SpracheEnglisch
Gewicht516 g
IllustrationenXI, 232 p. 34 illus., 31 illus. in color.
Artikel-Nr.40396889

Inhalt/Kritik

Inhaltsverzeichnis
1. Linear Forms in Logarithms (by Sanda Bujacic, 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)mehr