Winding Numbers and Meromorphic Functions Explained! | Complex Variables 

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: • Complex Variables and ...
Lecture Notes: drive.google.c...
Patreon: www.patreon.co...
Twitter: / facultyofkhan
Special thanks to my Patrons:
Cesar Garza
Daigo Saito
Alvin Barnabas
Damjan
Yenyo Pal
Lisa Bouchard
Patapom
Gabriel Sommer
Eugene Bulkin
Adam Pesl
Yiu Chong
René Gastelumendi