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.
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