Applied and Computational Complex Analysis, Discrete Fourier Analysis, Cauchy Integrals, Construction of Conformal Maps, Univalent Functions

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John Wiley & Sons, Apr 1, 1993 - Mathematics - 656 pages
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Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.
  

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Contents

Discrete Fourier Analysis
1
Cauchy Integrals
87
Potential Theory in the Plane
214
Simply Connected Regions
323
Construction of Conformal Maps for Multiply Connected
444
Polynomial Expansions and Conforms Maps
507
Univalent Functions
571
Bibliography
612
Index
631
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