Overview

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.

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9789814271295

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Some chapters of the book are suitable for undergraduate and graduate students. It is a good book since it presents many examples and exercises of different levels. Occasionally, different proofs are given for the same theorem which is inspiring and nice for illuminating / presentation of various methods. This is very useful, especially for beginners. In addition, the style of writing is good and clear. Great effort is made to make the book suitable for convenient reading, the hundreds of figures presented in the book are very helpful as well. -- Zentralblatt MATH Zentralblatt MATH

Some chapters of the book are suitable for undergraduate and graduate students. It is a good book since it presents many examples and exercises of different levels. Occasionally, different proofs are given for the same theorem which is inspiring and nice for illuminating / presentation of various methods. This is very useful, especially for beginners. In addition, the style of writing is good and clear. Great effort is made to make the book suitable for convenient reading, the hundreds of figures presented in the book are very helpful as well. -- Zentralblatt MATH ""Zentralblatt MATH""

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