The book timely surveys new research results and related
developments in Diophantine approximation, a division of number
theory which deals with the approximation of real numbers by
rational numbers. The book is appended with a list of challenging
open problems and a comprehensive list of references. From the
contents: Field extensions a [ Algebraic numbers a [ Algebraic
geometry a [ Height functions a [ The abc-conjecture a [ Roth's
theorem a [ Subspace theorems a [ Vojta's conjectures a [
L-functions.
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