Applied and Computational Complex Analysis, Discrete Fourier Analysis, Cauchy Integrals, Construction of Conformal Maps, Univalent Functions / Edition 1

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More About This Textbook

Overview

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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Editorial Reviews

Booknews
Originally published by Wiley in 1977. At a mathematical level accessible to the non-specialist, the second of a three-volume work shows how to use methods of complex analysis in applied mathematics and computation. It covers infinite products, ordinary differential equations, integral transforms, asymptotic methods, and continued fractions. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780471589860
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 4/1/1993
  • Series: Wiley Classics Library Series , #41
  • Edition description: Reprint
  • Edition number: 1
  • Pages: 656
  • Product dimensions: 6.04 (w) x 9.04 (h) x 1.59 (d)

Table of Contents

Discrete Fourier Analysis.

Cauchy Integrals.

Potential Theory in the Plane.

Construction of Conformal Maps: Simply Connected Regions.

Construction of Conformal Maps for Multiply Connected Regions.

Polynomial Expansions and Conformal Maps.

Univalent Functions.

Bibliography.

Index.

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