Download e-book for kindle: A Second Course in Complex Analysis (Dover Books on by William A. Veech

By William A. Veech

ISBN-10: 0486462943

ISBN-13: 9780486462943

A transparent, self-contained therapy of vital parts in complicated research, this article is aimed toward upper-level undergraduates and graduate scholars. the cloth is essentially 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 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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A Second Course in Complex Analysis (Dover Books on Mathematics) by William A. Veech

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