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CRC Press - The Cauchy Transform, Potential Theory and Conformal Mapping

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Description

Explore a new perspective on classical function theory with The Cauchy Transform, Potential Theory and Conformal Mapping. Published by CRC Press, this text examines the Cauchy integral formula through the lens of the 1976 advancement by Kerzman and Stein. This book offers a fast track to understanding the Riemann Mapping Theorem. Readers can learn how the Dirichlet and Neumann problems for the Laplace operator are solved, alongside the construction of the Poisson kernel. The text also demonstrates how to solve inhomogeneous Cauchy-Reimann equations concretely and efficiently. By utilizing formulas stemming from the Kerzman-Stein result, this work provides explicit forms for complex mathematical problems, making it a valuable resource for those studying potential theory and conformal mapping.

Key Features

Provides a new way to study the Cauchy integral formula based on the 1976 Kerzman and Stein advancement.

Offers an accelerated path to understanding the Riemann Mapping Theorem.

Includes solutions for the Dirichlet and Neumann problems for the Laplace operator.

Demonstrates the construction of the Poisson kernel for mathematical applications.

Uses formulas from the Kerzman-Stein result to solve inhomogeneous Cauchy-Reimann equations efficiently.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
17 December 2015
Listed Since
27 June 2015

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