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 complicated mappings makes widespread use of Schwarz's lemma. He constructs the common protecting floor of an arbitrary planar area and employs the modular functionality to improve the theorems of Landau, Schottky, Montel, and Picard as results of the life of convinced coverings. Concluding chapters discover Hadamard product theorem and best quantity theorem.
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Additional info 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