Get Handbook of Complex Analysis: Geometric Function Theory: 2 PDF

By Reiner Kuhnau

ISBN-10: 044451547X

ISBN-13: 9780444515476

Geometric functionality conception is that a part of advanced research which covers the speculation of conformal and quasiconformal mappings.

Beginning with the classical Riemann mapping theorem, there's a lot of life theorems for canonical conformal mappings. at the different aspect there's an in depth concept of qualitative houses of conformal and quasiconformal mappings, touching on quite often a previous estimates, so known as distortion theorems (including the Bieberbach conjecture with the facts of the Branges). right here a kick off point was once the classical Scharz lemma, after which Koebe's distortion theorem.

There are numerous connections to mathematical physics, a result of family to power thought (in the plane). The instruction manual of Geometric functionality thought comprises additionally a piece of writing approximately confident equipment and extra a Bibliography together with purposes eg: to electroxtatic difficulties, warmth conduction, power flows (in the plane).

· a suite of self sustaining survey articles within the box of GeometricFunction thought
· life theorems and qualitative houses of conformal and quasiconformal mappings
· A bibliography, together with many tricks to functions in electrostatics, warmth conduction, strength flows (in the plane).

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Handbook of Complex Analysis: Geometric Function Theory: 2 by Reiner Kuhnau

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