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Introduction to complex analysis

Author: Rolf Nevanlinna; V Paatero
Publisher: Providence, R.I. : American Mathematical Society ; Oxford : Oxford University Press [distributor], 2008.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:

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  Read more...

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Document Type: Book
All Authors / Contributors: Rolf Nevanlinna; V Paatero
ISBN: 9780821843994 0821843990
OCLC Number: 181422739
Language Note: Translated from the German.
Notes: Previous edition: Reading, Mass.; London: Addison-Wesley, 1969.
Includes index.
Description: pages cm
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.
Responsibility: Rolf Nevanlinna and Veikko Paatero.

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