Description

Book Synopsis
A Comprehensive Course in Analysis by Poincare Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Part 2A is devoted to basic complex analysis.

Table of Contents
  • 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

Basic Complex Analysis A Comprehensive Course in

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    £999.99

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    A Hardback by Barry Simon

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 12/30/2015 12:00:00 AM
      ISBN13: 9781470411008, 978-1470411008
      ISBN10: 1470411008

      Description

      Book Synopsis
      A Comprehensive Course in Analysis by Poincare Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Part 2A is devoted to basic complex analysis.

      Table of Contents
      • 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

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