{"product_id":"the-cauchy-transform-potential-theory-and-conformal-mapping-9781498727204","title":"The Cauchy Transform, Potential Theory and Conformal Mapping","description":"\u003cp\u003e • Author(s): Steven R. Bell\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eThe Cauchy Transform, Potential Theory and Conformal Mapping\u003c\/strong\u003e 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.\u003c\/p\u003e\u003cp\u003eThe 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. \u003c\/p\u003e\u003cp\u003eThese 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. \u003c\/p\u003e\u003cp\u003eFour 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. \u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Hardcover","offer_id":45237269102743,"sku":"9781498727204","price":8181.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781498727204.webp?v=1769216070","url":"https:\/\/atlanticbooks.com\/products\/the-cauchy-transform-potential-theory-and-conformal-mapping-9781498727204","provider":"Atlantic Books","version":"1.0","type":"link"}