Name: The Cauchy Transform, Potential Theory and Conformal Mapping (en Inglés)
SKU: 63065269
Price: 128.77 USD
Availability: InStock
Author: Steven R. Bell
ISBN: 9781032927510

portada The Cauchy Transform, Potential Theory and Conformal Mapping (en Inglés)

The Cauchy Transform, Potential Theory and Conformal Mapping (en Inglés)

Formato

Libro Físico

Editorial

Crc Press

Autor

Steven R. Bell

Idioma

Inglés

N° páginas

222

Encuadernación

Tapa Blanda

ISBN13

9781032927510

N° edición

The Cauchy Transform, Potential Theory and Conformal Mapping (en Inglés)

Steven R. Bell (Autor) · Crc Press · Tapa Blanda

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Reseña del libro "The Cauchy Transform, Potential Theory and Conformal Mapping (en Inglés)"

The Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the Cauchy integral formula, in a new and novel way based on an advance made by Kerzman and Stein in 1976.The book provides a fast track to understanding the Riemann Mapping Theorem. The Dirichlet and Neumann problems for the Laplace operator are solved, the Poisson kernel is constructed, and the inhomogenous Cauchy-Reimann equations are solved concretely and efficiently 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. Four new chapters have been added to this second edition: two on quadrature domains and another two on complexity of the objects of complex analysis and improved Riemann mapping theorems. The book is suitable for pure and applied math students taking a beginning graduate-level topics course on aspects of complex analysis as well as physicists and engineers interested in a clear exposition on a fundamental topic of complex analysis, methods, and their application.