Explorations in Complex Variables with Accompanying Applets

Chapter 5: Mappings to Polygonal Domains

Applets you may need to use for this chapter:

1. ComplexTool is used to plot the image of domains in C under complex-valued functions.
2. PolyTool is used to visualize the harmonic function that is the extension of a particular kind of boundary correspondence. The user of this applet can dynamically change the boundary correspondence and watch the harmonic function change.
3. StarTool is used to examine the fucntions that map the unit disk D onto an n-pointed star. The user can modify the shape of the star (by changing n and r) and the boundary correspondence (by changing p).