Explorations in Complex Variables with Accompanying Applets

Chapter 2: Minimal Surfaces

Applets you may need to use for this chapter:

  1. DiffGeomTool is used to visualize and explore basic differential geometry concepts in R^3 such as the graph of a parametrization of a surface, curves on a surface, tangent planes on a surface, and unit normals on a surface.
  2. MinSurfTool is used to visualize and explore minimal surfaces in R^3 by using various forms of the Weierstrass representation.
  3. ComplexTool is used to plot the image of domains in C under complex-valued functions.
  4. LinComboTool is used to plot and explore the convex combination of complex-valued harmonic polygonal maps.