Uploaded November 2024 | Updated September 2026, 3 weeks ago

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An introduction to harmonic functions and harmonic conjugates in Complex Analysis, by relating these functions to the all-important Cauchy-Riemann relations. I prove in this video that a complex function is analytic if it is composed of two harmonic functions with the imaginary part of the function being a harmonic conjugate of the real part. I also work through an example involving a harmonic function.

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Pre-reqs: My basic #ComplexVariables playlist: youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB
Lecture Notes: drive.google.com/file/d/1nD30g1YTGNBKDivzltVaL_m-8KnszMb_/view?usp=drive_link

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