Complex Mapping of Contours and Regions

build expression (Select a function from the popup menu, then select the operation to be performed. Start with '+'.)
f[z] = z operation: + - * / ^ expression: 0.6sin(z)cos(z)

z range w range Reset

z plane	w plane

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.