By William A. Veech
Author William A. Veech, the Edgar Odell Lovett Professor of arithmetic at Rice collage, provides the Riemann mapping theorem as a different case of an lifestyles theorem for common protecting surfaces. His concentrate on the geometry of advanced mappings makes widespread use of Schwarz's lemma. He constructs the common masking floor of an arbitrary planar quarter 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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A Second Course in Complex Analysis (Dover Books on Mathematics) by William A. Veech