Youtor
Rouches Theorem and the Fundamental Theorem of Algebra
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=E3-Hji569w4
In this video, I prove Rouche's Theorem, which relates the zeros of a function f(z) and the sum of two functions f(z) and g(z), assuming that certain conditions are satisfied. • Following the proof, I apply Rouche's Theorem to an important example involving the proof of the Fundamental Theorem of Algebra. I'm sure that the pure math lovers who watch my videos will be excited to see this proof! • Questions/requests? Let me know in the comments! • Pre-reqs: Every video before this one in my Complex Variables playlist: • Complex Variables and Functions • Lecture Notes: https://drive.google.com/open?id=1Fm0... • Patreon: https://www.patreon.com/user?u=4354534 • Twitter: / facultyofkhan • Special thanks to my Patrons for supporting me at the $5 level or higher: • Cesar Garza • Alvin Barnabas • Aldo Mendes Martins • Yenyo Pal • Lisa Bouchard • Richard Mcnair • Patapom • Bernardo Marques • Jacob Soares • Otar Kemularia
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