{"product_id":"the-cauchy-transform-potential-theory-and-conformal-mapping-1","title":"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","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":54191030862168,"sku":null,"price":132.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781498727204_6c3bd0bf-00be-4cf1-b25c-42d235ef46fb.jpg?v=1768978808","url":"https:\/\/agendabookshop.com\/products\/the-cauchy-transform-potential-theory-and-conformal-mapping-1","provider":"Agenda Bookshop","version":"1.0","type":"link"}