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

By William A. Veech

A transparent, self-contained therapy of significant components in complicated research, this article is aimed at upper-level undergraduates and graduate scholars. the fabric 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 collage, provides the Riemann mapping theorem as a different case of an life theorem for common masking surfaces. His concentrate on the geometry of complicated mappings makes common use of Schwarz's lemma. He constructs the common masking floor of an arbitrary planar area and employs the modular functionality to boost the theorems of Landau, Schottky, Montel, and Picard as outcomes of the lifestyles of definite coverings. Concluding chapters discover Hadamard product theorem and leading quantity theorem.

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