The complex exponential function

Drag the blue points to see the effect of the exponential function on a complex number z. The checkboxes show different shapes. The "before" shape is filled in, and is traced by the blue point P. The "after" shape is not filled, and is traced by P'.

This applet shows the function f(z)=e^z, where e is the number 2.718281828459....

In coordinates, if z=x+iy, then .

Susan Addington, Created with GeoGebra

Quadrivium

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