04062cam a2200349Ii 4500991003274819707536m d cr cn|||||||||070806s2004 ne fsb 000 0 eng d9780444515476044451547Xb13659133-39ule_instDip.to Matematicaeng515.922Geometric function theory[e-book] /edited by R. KühnauAmsterdam :Elsevier North Holland,20041 online resourceHandbook of complex analysis ;2Includes bibliographical referencesPreface (R. Kühnau). -- Quasiconformal mappings in euclidean space (F.W. Gehring). -- Variational principles in the theory of quasiconformal maps (S.L. Krushkal). -- The conformal module of quadrilaterals and of rings (R. Kühnau). -- Canonical conformal and quasiconformal mappings. Identities. Kernel functions (R. Kühnau). -- Univalent holomorphic functions with quasiconform extensions (variational approach) (S.L. Krushkal). -- Transfinite diameter, Chebyshev constant and capacity (S. Kirsch). -- Some special classes of conformal mappings (T.J. Suffridge). -- Univalence and zeros of complex polynomials (G. Schmieder). -- Methods for numerical conformal mapping (R. Wegmann). -- Univalent harmonic mappings in the plane (D. Bshouty, W. Hengartner). -- Quasiconformal extensions and reflections (S.L. Krushkal). -- Beltrami equation (U. Srebro, E. Yakubov). -- The applications of conformal maps in electrostatics (R. Kühnau). -- Special functions in Geometric Function Theory (S.-L. Qin, M. Vuorinen). -- Extremal functions in Geometric Function Theory. Special functions. Inequalities (R. Kühnau). -- Eigenvalue problems and conformal mapping (B. Dittmar). -- Foundations of quasiconformal mappings (C.A. Cazacu). -- Quasiconformal mappings in value-distribution theory (D. Drasin. A.A. Goldberg, P. Poggi-Corradini)Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). A collection of independent survey articles in the field of GeometricFunction Theory Existence theorems and qualitative properties of conformal and quasiconformal mappings A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)Electronic reproduction.Amsterdam :Elsevier Science & Technology,2007.Mode of access: World Wide Web.System requirements: Web browser.Title from title screen (viewed on Aug. 2, 2007).Access may be restricted to users at subscribing institutionsGeometric function theoryKühnau, ReinerScienceDirect (Online service)Original044451547X9780444515476(OCoLC)56695897ScienceDirecthttps://www.sciencedirect.com/handbook/handbook-of-complex-analysis/vol/2/suppl/CAn electronic book accessible through the World Wide Web; click for information.b1365913303-03-2229-01-08991003274819707536Geometric function theory1213956UNISALENTOle01329-01-08m@ -engne 00