By William A. Veech
Author William A. Veech, the Edgar Odell Lovett Professor of arithmetic at Rice college, offers the Riemann mapping theorem as a distinct case of an lifestyles theorem for common overlaying surfaces. His specialise in the geometry of advanced mappings makes widespread use of Schwarz's lemma. He constructs the common overlaying floor of an arbitrary planar area and employs the modular functionality to increase the theorems of Landau, Schottky, Montel, and Picard as results of the lifestyles of yes coverings. Concluding chapters discover Hadamard product theorem and major quantity theorem.
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Extra resources for A Second Course in Complex Analysis (Dover Books on Mathematics)
A Second Course in Complex Analysis (Dover Books on Mathematics) by William A. Veech