Conformal Mapping and its Applications
نویسنده
چکیده
Conformal (Same form or shape) mapping is an important technique used in complex analysis and has many applications in different physical situations.If the function is harmonic (ie it satisfies Laplace’s equation∇f = 0 )then the transformation of such functions via conformal mapping is also harmonic. So equations pertaining to any field that can be represented by a potential function (all conservative fields) can be solved via conformal mapping.If the physical problem can be represented by complex functions but the geometric structure becomes inconvenient then by an appropriate mapping it can be transferred to a problem with much more convenient geometry. This article gives a brief introduction to conformal mappings and some of its applications in physical problems.
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