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 equations are solved concretely using formulas stemming from the Kerzman-Stein result. These explicit ...
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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 equations 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 complex analysis, methods, and their application.
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Add this copy of The Cauchy Transform Potential Theory and Conformal to cart. $107.00, 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. $207.00, 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.
Add this copy of The Cauchy Transform Potential Theory and Conformal to cart. $112.50, 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.
