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

By William A. Veech

ISBN-10: 0486462943

ISBN-13: 9780486462943

A transparent, self-contained remedy of vital components in advanced research, this article is aimed at upper-level undergraduates and graduate scholars. the cloth is basically classical, with specific emphasis at the geometry of complicated mappings.
Author William A. Veech, the Edgar Odell Lovett Professor of arithmetic at Rice collage, provides the Riemann mapping theorem as a unique case of an lifestyles theorem for common masking surfaces. His specialise in the geometry of complicated mappings makes common use of Schwarz's lemma. He constructs the common protecting floor of an arbitrary planar quarter and employs the modular functionality to boost the theorems of Landau, Schottky, Montel, and Picard as results of the lifestyles of sure 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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