By B. V. Shabat
An unlimited literature has grown up round the price distribution concept of meromorphic capabilities, synthesized by way of Rolf Nevanlinna within the Nineteen Twenties and singled out via Hermann Weyl as one of many maximum mathematical achievements of this century. The multidimensional element, related to the distribution of inverse pictures of analytic units below holomorphic mappings of advanced manifolds, has now not been totally handled within the literature. This quantity hence presents a necessary creation to multivariate worth distribution concept and a survey of a few of its effects, wealthy in kin to either algebraic and differential geometry and absolutely some of the most vital branches of the trendy geometric concept of features of a posh variable. because the ebook starts off with preparatory fabric from the modern geometric concept of services, just a familiarity with the weather of multidimensional complicated research is important history to appreciate the subject. After proving the 2 major theorems of worth distribution conception, the writer is going directly to examine additional the speculation of holomorphic curves and to supply generalizations and functions of the most theorems, focusing mainly at the paintings of Soviet mathematicians.