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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Conformal Mappings
verfasst von : Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
Erschienen in: An Introduction to Complex Analysis
Verlag: Springer US
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In Lecture 10, we saw that the nonconstant linear mapping (10.1) is an expansion or contraction and a rotation, followed by a translation. Thus, under a linear mapping, the angle between any two intersecting arcs in the
z
-plane is equal to the angle between the images in the
w
-plane. Mappings that have this
angle-preserving
property are called
conformal mappings
. These mappings are of immense importance in solving boundary value problems involving Laplace’s equation. We begin with the following definitions.