{"product_id":"the-cauchy-transform-potential-theory-steven-r-bell-9781032927510","title":"The Cauchy Transform, Potential Theory and Conformal Mapping","description":"\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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Steven R. Bell\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1032927518\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781032927510\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/14\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 222\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.70lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.47d","brand":"Steven R. Bell","offers":[{"title":"Paperback","offer_id":49148228632831,"sku":"9781032927510","price":101.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/the-cauchy-transform-potential-theory-steven-r-bell-9781032927510","provider":"WR Book House","version":"1.0","type":"link"}