A Second Course in Complex Analysis (Dover Books on by William A. Veech PDF

By William A. Veech

A transparent, self-contained remedy of vital parts in complicated research, this article is aimed at upper-level undergraduates and graduate scholars. the cloth is basically classical, with specific emphasis at the geometry of advanced mappings.
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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A Second Course in Complex Analysis (Dover Books on Mathematics) by William A. Veech


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