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Basic Complex Analysis: A Comprehensive Course in Analysis, Part 2A

Barry Simon
Publisher: 
American Mathematical Society
Publication Date: 
2015
Number of Pages: 
641
Format: 
Hardcover
ISBN: 
9781470411008
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

[Reviewed by
Michael Berg
, on
01/14/2016
]

See the page for Part 1.

  • Preliminaries
  • The Cauchy integral theorem: Basics
  • Consequences of the Cauchy integral formula
  • Chains and the ultimate Cauchy integral theorem
  • More consequences of the CIT
  • Spaces of analytic functions
  • Fractional linear transformations
  • Conformal maps
  • Zeros of analytic functions and product formulae
  • Elliptic functions
  • Selected additional topics
  • Bibliography
  • Symbol index
  • Subject index
  • Author index
  • Index of capsule biographies