WOLFRAM|DEMONSTRATIONS PROJECT

Complex Mapping of Contours and Regions

This Demonstration illustrates how functions of a complex variable map points in the complex
z
plane to points in the complex
w
plane. You can drag the mouse to draw a path or a region in the
z
plane and immediately see how your drawing transforms into the
w
plane under the action of a particular function. Click and release anywhere in the
z
plane to clear the drawing.