Conformal Mapping

Gerald Dennis Mahan
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Gerald Dennis Mahan: Pennsylvania State University

Chapter 6 in Applied Mathematics, 2002, pp 141-176 from Springer

Abstract: Abstract Conformal mapping is the name given to the process of using complex variables to map one figure onto another. The general procedure is to construct a figure or a region of space in the z =x + iy two dimensional space, then change to another space by defining a new complex variable w = u + iv = G(z). In the new two dimensional space with coordinates (u, v) the figure will usually change its shape. This procedure can be used to solve a variety of interesting problems in many branches of engineering and physics. Many applications of mapping are for solutions to Laplace's equation in two dimensions and this feature is explained first.

Keywords: Singular Point; Real Axis; Stream Function; Conformal Mapping; Imaginary Axis (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-1-4615-1315-5_6

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