Transcription of Conformal Mapping and its Applications - IISER Pune
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Conformal Mapping and its Applications - IISER Pune
Conformal Mapping and its ApplicationsSuman Ganguli11 Department of Physics, University of Tennessee, Knoxville, TN 37996(Dated: November 20, 2008) Conformal (Same form or shape) Mapping is an important technique used in complex analysisand has many Applications in different physical the function is harmonic (ie it satisfiesLaplace s equation 2f= 0 )then the transformation of such functions via Conformal Mapping is alsoharmonic. So equations pertaining to any field that can be represented by a potential function (allconservative fields) can be solved via Conformal the physical problem can be representedby complex functions but the geometric structure becomes inconvenient then by an appropriatemapping it can be transferred to a problem with much more convenient geometry.
Conformal (Same form or shape) mapping is an important technique used in complex analysis and has many applications in di erent physical situations.If the function is harmonic (ie it satis es Laplace’s equation r2f= 0 )then the transformation of such functions via conformal …
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