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 ⢠Algebraic numbers ⢠Algebraic geometry ⢠Height functions ⢠The abc-conjecture ⢠Roth's theorem ⢠Subspace theorems ⢠Vojta's conjectures ⢠L-functions.
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