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 ...
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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.
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Add this copy of The Cauchy Transform, Potential Theory and Conformal to cart. $101.87, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2024 by CRC Press.
Add this copy of The Cauchy Transform Potential Theory and Conformal to cart. $100.00, very good condition, Sold by Lavendier Books rated 5.0 out of 5 stars, ships from Foster, RI, UNITED STATES, published 1992 by CRC Press.
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Seller's Description:
Very Good. Size: 6x0x9; CRC Press; Boca Raton, 1992. Hardcover. A Very Good, binding sturdy and intact, some handling/scuffing to boards, indent top and bottom front joint, spine lean, small dent top and bottom front board edge, previous owner handwritten ink name top front free endpaper, mild crimping to spine edges, without Dust wrapper. A nice and clean copy. 8vo[octavo or approx. 6 x 9 inches]. 149pp., appendix, indexed. We pack securely and ship daily with delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.
Add this copy of The Cauchy Transform Potential Theory and Conformal to cart. $105.50, good condition, Sold by David's Books rated 3.0 out of 5 stars, ships from ypsilanti, MI, UNITED STATES, published 1992 by Crc-Press.
Add this copy of The Cauchy Transform Potential Theory and Conformal to cart. $200.00, very good condition, Sold by Book Alley rated 4.0 out of 5 stars, ships from Pasadena, CA, UNITED STATES, published 1992 by CRC Press.
