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Complex Integration Using Branch Cuts

This video covers #ComplexIntegration of a natural logarithm using #BranchCuts to convert the natural log from a multiple-valued function to a single-valued function. This integration involved using an elaborately constructed contour, the #ResidueTheorem, and the ML inequality (link: https://www.youtube.com/watch?v=sEyVa_W1Syo&list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB&index=5&t=0s) to arrive at the final answer.

Questions/requests? Let me know in the comments!

Pre-reqs: Every video before this one in my #ComplexVariables playlist, especially the video on Branch Points and Branch Cuts right before this: https://www.youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB

Lecture Notes: https://drive.google.com/open?id=1JHiTM9r6liwQDz9XTE_lUmhe3najPJ1h
Patreon: https://www.patreon.com/user?u=4354534
Twitter: https://twitter.com/FacultyOfKhan

Special thanks to my Patrons:
Cesar Garza
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Patapom
Gabriel Sommer
Eugene Bulkin
Adam Pesl
Yiu Chong
René Gastelumendi

Видео Complex Integration Using Branch Cuts канала Faculty of Khan
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3 апреля 2020 г. 19:00:10
00:12:55
Faculty of Khan
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