Classical Complex Analysis: A Geometric Approach (Volume 1)

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A01=I-hsiung Lin
Analytic Continuations
Analytic Functions
Author_I-hsiung Lin
Category=PBMS
Cauchy Integral Theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Residues
Riemann Mapping Theorem
Riemann Surfaces
Uniformization Theorem

Product details

  • ISBN 9789814261227
  • 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 1 begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described in detail, and various applications of residues are included; analytic continuation is also introduced.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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