Classical Complex Analysis: A Geometric Approach (Volume 2)
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A01=I-hsiung Lin
Analytic Continuations
Analytic Functions
Author_I-hsiung Lin
Category=PBKD
Cauchy Integral Theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Residues
Riemann Mapping Theorem
Riemann Surfaces
Uniformization Theorem
Product details
- ISBN 9789814271288
- Publication Date: 14 Sep 2010
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
