Download E-books A Second Course in Complex Analysis (Dover Books on Mathematics) PDF

By William A. Veech

A transparent, self-contained therapy of vital parts in complicated research, this article is aimed at upper-level undergraduates and graduate scholars. the cloth is essentially classical, with specific emphasis at the geometry of complicated mappings.
Author William A. Veech, the Edgar Odell Lovett Professor of arithmetic at Rice college, provides the Riemann mapping theorem as a unique 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 masking floor of an arbitrary planar zone and employs the modular functionality to advance the theorems of Landau, Schottky, Montel, and Picard as outcomes of the life of definite coverings. Concluding chapters discover Hadamard product theorem and leading quantity theorem.

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