Uploaded April 2020 | Updated September 2026, 2 weeks ago

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In this video, I explain the concepts of #WindingNumber and #MeromorphicFunctions. I begin the video by defining the argument of a complex function, which leads nicely to a definition and explanation of meromorphic functions.

I describe meromorphic functions as lying in the middle of the spectrum of continuity (between frankly discontinuous functions and perfectly continuous functions). I then define and give the intuition of the winding number, both for typical curves and for functions.

Questions/requests? Let me know in the comments!

Pre-reqs: Every video before this one in my #ComplexVariables playlist: youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB

Lecture Notes: drive.google.com/open?id=1vr6WIptIgHJH9ATLwxIMTAy6ANwLc5_g
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