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Cauchy Transform, Potential Theory, and Conformal Mapping






Publisher:  Taylor & Francis Group
Summary: The Cauchy integral formula is the most central result in all of classical function theory. A recent discovery of Kerzman and Stein allows more theorems than ever to be deduced from simple facts about the Cauchy integral. In this book, the Riemann Mapping Theorem is deduced, the Dirichlet and Neumann problems for the Laplace operator are solved, the Poisson kernal is constructed, and the inhomogenous Cauchy-Reimann e...quations are solved concretely using formulas stemming from the Kerzman-Stein result. These explicit formulas yield new numerical methods for computing the classical objects of potential theory and conformal mapping, and the book provides succinct, complete explanations of these methods. The Cauchy Transform, Potential Theory, and Conformal Mapping is suitable for pure and applied math students taking a beginning graduate-level topics course on aspects of complex analysis. It will also be useful to physicists and engineers interested in a clear exposition on a fundamental topic of complexanalysis, methods, and their application.

Bell, Steven R. is the author of Cauchy Transform, Potential Theory, and Conformal Mapping, published under ISBN 9780849382703 and 084938270X. Three hundred seventy four Cauchy Transform, Potential Theory, and Conformal Mapping textbooks are available for sale on ValoreBooks.com, one hundred six used from the cheapest price of $65.97, or buy new starting at $89.07.
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ISBN-13: 9780849382703

ISBN: 084938270X

Publisher: Taylor & Francis Group
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