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Introduction to the theory of functions of a complex variable

Author: Wolfgang J Thron
Publisher: New York : Wiley, 1953.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Thron, Wolfgang J.
Introduction to the theory of functions of a complex variable.
New York, Wiley [1953]
(OCoLC)647614073
Document Type: Book
All Authors / Contributors: Wolfgang J Thron
OCLC Number: 1147529
Notes: Includes index.
Description: ix, 230 pages ; 24 cm
Contents: Fundamental concepts --
Real numbers --
Cardinal numbers --
Complex numbers --
Sums and products --
Hausdorff spaces --
Metric spaces --
The plane of complex numbers --
Limits, continuity, differentiability --
Real functions of real variables --
Curves and regions in the plane of complex numbers --
Some combinatorial topology --
Jordan curves --
Rectifiable and directed curves --
Integration --
The Cauchy integral theorem --
Sequences of functions --
Infinite series --
Power series --
Function spaces --
Elementary transcendental functions --
Inverse functions --
Analytic continuation and singular points --
The extended plane --
Classification of some single-valued analytic functions --
Residues --
Conformal maps --
Linear fractional transformations and inversions --
Simple functions and the Riemann mapping theorem --
The elliptic modular functions and Picard's theorems --
Riemann surfaces.
Other Titles: Theory of functions of a complex variable
Responsibility: Wolfgang J. Thron.

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