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.