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The Cauchy Transform, Potential Theory and Conformal Mapping (Studies in Advanced Mathematics)

Author: 


ISBN-13: 

9780849382703


ISBN: 

084938270X


Edition:  1
Pub Date: 
Publisher:  CRC Press
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.

Steven R. Bell is the author of The Cauchy Transform, Potential Theory and Conformal Mapping (Studies in Advanced Mathematics), published 1992 under ISBN 9780849382703 and 084938270X. Two hundred eleven The Cauchy Transform, Potential Theory and Conformal Mapping (Studies in Advanced Mathematics) textbooks are available for sale on ValoreBooks.com, fifty seven used from the cheapest price of $64.31, or buy new starting at $74.89.
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The Cauchy Transform, Potential Theory and Conformal Mapping (Studies in Advanced Mathematics)

ISBN-13: 9780849382703


ISBN: 084938270X


Edition: 1st


Pub Date:
Publisher: CRC Press
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