Holomorphic functions and conformal mappings

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.

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©2016 David Shea Vela-Vick

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