Uploaded October 2020 | Updated September 2026, 2 weeks ago

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Introduction to #ConformalMapping with the definition and conformal mapping theorem (i.e. a conformal map is a function that preserves angles when it is used to transform one complex variable to another). I use the fact that a conformal map has preservation of angles to derive the requisite condition for a complex function f(z) to be a conformal map: that is to say, f(z) must be analytic and have a non-zero derivative in the area of interest.

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Pre-reqs: My basic #ComplexVariables playlist: youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB

Lecture Notes: drive.google.com/file/d/1NKQ9VHriqionsQFJd_snDUFVIM-yy9et/view?usp=sharing
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