``The authors have done an excellent job accomplishing what they set out to do. The self-contained treatment of maps encountering hyperplanes in projective space is very nicely done, including a complete treatment of Nochka (or Nochka-Chen) weights, .....This monograph provides the first complete detailed treatment in book form of the Second Main Theorem for maps to abelian and semi-abelian varieties, much of this theory, of course, being originally due to the authors, often together with Yamanoi. ......Included in their treatment are explicit constructions of hyperbolic hypersurfaces in projective space and an interesting discussion of the images of Brody curves in tori. .....'' (by W. Cherry)