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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Handbook of Complex Analysis - Geometric Function Theory (Hardcover)
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Handbook of Complex Analysis - Geometric Function Theory (Hardcover)
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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).
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