The theory of Riemann surfaces has a geometric and an analytic
part. The former deals with the axiomatic definition of a Riemann
surface, methods of construction, topological equivalence, and
conformal mappings of one Riemann surface on another. The analytic
part is concerned with the existence and properties of functions
that have a special character connected with the conformal
structure, for instance: subharmonic, harmonic, and analytic
functions. Originally published in 1960. The Princeton Legacy
Library uses the latest print-on-demand technology to again make
available previously out-of-print books from the distinguished
backlist of Princeton University Press. These editions preserve the
original texts of these important books while presenting them in
durable paperback and hardcover editions. The goal of the Princeton
Legacy Library is to vastly increase access to the rich scholarly
heritage found in the thousands of books published by Princeton
University Press since its founding in 1905.
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