Classical Complex Analysis: A Geometric Approach (Volume 2)

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Classical Complex Analysis: A Geometric Approach (Volume 2) is written by I-hsiung Lin and published by World Scientific Publishing Company. It's available with International Standard Book Number or ISBN identification 9813101075 (ISBN 10) and 9789813101074 (ISBN 13).

Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. Volume 2 begins with analytic continuation. The Riemann mapping theorem is proved and used in solving Dirichlet's problem for an open disk and, hence, a class of general domains via Perron's method. Finally, proof of the uniformization theorem of Riemann surfaces is given.The book is rich in contents, figures, examples and exercises. It is self-contained and is designed for a variety of usages and motivations concerning advanced studies. It can be used both as a textbook for undergraduate and graduate students, and as a reference book in general.