Description

Book Synopsis
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.

Table of Contents
Fundamental Theory: Sequences, Series and Infinite Products; Conformal Mapping and Dirichlet's Problem; Riemann Surfaces.

Classical Complex Analysis: A Geometric Approach

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    A Hardback by I-hsiung Lin

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 14/09/2010
      ISBN13: 9789814271288, 978-9814271288
      ISBN10: 9814271284

      Description

      Book Synopsis
      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.

      Table of Contents
      Fundamental Theory: Sequences, Series and Infinite Products; Conformal Mapping and Dirichlet's Problem; Riemann Surfaces.

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