``This intriguing monograph describes the state of the art of large parts of Nevanlinna theory in several complex variables. After reviewing the one-dimensional case ..... Further chapters are devoted to applications to Kobayashi hyperbolicity, Nevanlinna theory over function fields (including an analogue of the abc-conjecture), and Diophantine approximation over number fields in the spirit of Vojtafs dictionary. As can be seen from this description this volume is too advanced for newcomers to the field. It will, however, be an important reference for graduate students and researchers in Nevanlinna theory for many years.'' (by Ch. Baxa)