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Wednesday, March 10, 2010

Complex mapping

'Reading ahead' on Complex Analysis it suddenly daunted how I can easily draw graphs of complex mappings using Mathematica. - Where would I be without Mathematica?
Define f: C->C by f[z]=Tan[2z].
We investigate the image of the unit-circle in the complex plane under f.

As you can see this is a simple procedure with the Mathematica function ParametricPlot.

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