Description

Book Synopsis
Gives a presentation of topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem. This title is suitable for a class or for self-study.

Table of Contents
The concept of an analytic function General properties of rational functions Linear transformations Mapping by rational functions of second order The exponential function and its inverse. The general power The trigonometric functions Infinite series with complex terms Integration in the complex domain. Cauchy's theorem Cauchy's integral formula and its applications The residue theorem and its applications Harmonic functions Analytic continuation Entire functions Periodic functions The Euler $\Gamma$-function The Riemann $\zeta$-function The theory of conformal mapping Index.

Introduction to Complex Analysis

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    A Hardback by Rolf Nevalinna, Veikko Paatero

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 10/30/2007 12:00:00 AM
      ISBN13: 9780821843994, 978-0821843994
      ISBN10: 0821843990

      Description

      Book Synopsis
      Gives a presentation of topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem. This title is suitable for a class or for self-study.

      Table of Contents
      The concept of an analytic function General properties of rational functions Linear transformations Mapping by rational functions of second order The exponential function and its inverse. The general power The trigonometric functions Infinite series with complex terms Integration in the complex domain. Cauchy's theorem Cauchy's integral formula and its applications The residue theorem and its applications Harmonic functions Analytic continuation Entire functions Periodic functions The Euler $\Gamma$-function The Riemann $\zeta$-function The theory of conformal mapping Index.

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