On the one hand, this monograph serves as a self-contained introduction
to Nevanlinna's theory of value distribution because the authors only
assume the reader is familiar with the basics of complex analysis. On
the other hand, the monograph also serves as a valuable reference for
the research specialist because the authors present, for the first time
in book form, the most modern and refined versions of the Second Main
Theorem with precise error terms, in both the geometric and logarithmic
derivative based approaches. A unique feature of the monograph is its
"number-theoretic digressions". These special sections assume no
background in number theory and explore the exciting interconnections
between Nevanlinna theory and the theory of Diophantine approximation.