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 life theorem for common protecting 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 sector and employs the modular functionality to strengthen the theorems of Landau, Schottky, Montel, and Picard as effects of the life of sure coverings. Concluding chapters discover Hadamard product theorem and leading 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