Download PDF by Peter Henrici: Applied and Computational Complex Analysis: Special

By Peter Henrici

ISBN-10: 0471015253

ISBN-13: 9780471015253

At a mathematical point available to the non-specialist, the 3rd of a three-volume paintings exhibits find out how to use tools of complicated research in utilized arithmetic and computation. The booklet examines two-dimensional power idea and the development of conformal maps for easily and multiply attached areas. moreover, it offers an creation to the speculation of Cauchy integrals and their functions in capability idea, and provides an uncomplicated and self-contained account of de Branges' lately found evidence of the Bieberbach conjecture within the concept of univalent services. The facts deals a few attention-grabbing functions of fabric that seemed in volumes 1 and a pair of of this paintings. It discusses themes by no means prior to released in a textual content, corresponding to numerical review of Hilbert rework, symbolic integration to unravel Poisson's equation, and osculation equipment for numerical conformal mapping.

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Extra info for Applied and Computational Complex Analysis: Special Functions, Integral Transforms, Asymptotics, Continued Fractions

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Applied and Computational Complex Analysis: Special Functions, Integral Transforms, Asymptotics, Continued Fractions by Peter Henrici

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