Conformal Mappings and the Local Inverse | Complex Variables @FacultyofKhan

Uploaded March 2025 | Updated September 2026, 2 weeks ago

An introduction to the local inverse, and how a conformal mapping guarantees the presence of a local inverse at a point.

Questions/requests? Let me know in the comments!

Pre-reqs: My basic #ComplexVariables playlist: youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB
And previous videos in my advanced complex variables playlist:
youtube.com/playlist?list=PLdgVBOaXkb9AzBcO4b-iRtGzSF0Km8ZoT
Lecture Notes: drive.google.com/file/d/1XAt48GsQBIzGsQrbmSuoIe-KRq-ryhUn/view?usp=drive_link

Special thanks to my Patrons:
Patapom
Eugene Bulkin
Andy Johnston
Patrick Gibson
Joseph Dubeau
David Johnston

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