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I-hsiung Lin

Classical Complex Analysis: A Geometric Approach (Volume 2)

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€97.99
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Analytic Continuations
Analytic Functions
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Category1=Non-Fiction
Category=PBMS
Category=PBP
Cauchy Integral Theorem
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Language_English
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Residues
Riemann Mapping Theorem
Riemann Surfaces
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Uniformization Theorem

Product details

  • ISBN 9789814271295
  • Publication Date: 14 Sep 2010
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Paperback
  • Language: English
Delivery/Collection within 10-20 working days

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Description
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.