Intended Audience: Undergraduates, advanced high-schoolers and high-school teachers interested in showing their students some advanced mathematics.
In this episode we introduce two types of functions: holomorphic and conformal.
The term holomorphic refers to a function which is complex differentiable on an open set in the complex plane. Conformality, but contrast, is a geometric idea meaning “angle preserving”. In this video, we discuss what it means for a function to be angle preserving and prove that holomorphic functions are conformal wherever their derivatives are non-zero.
©2016 David Shea Vela-Vick