Conformal mapping is a powerful tool in complex analysis that refers to functions that locally preserve angles and the shapes of infinitesimally small figures. These mappings are typically defined by analytic functions with non-zero derivatives, which ensures that the local geometry of a shape is maintained, though the size may be distorted. Conformal maps are especially useful in solving problems involving fluid flow, electromagnetism, and complex potential theory, as they allow complicated dom

How to Visualize z^2, 1/z, & e^z as Complex Mappings of the Complex Plane (use Wolfram Mathematica)