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  • 5 лет назадОпубликованоFaculty of Khan

Introducing Branch Points and Branch Cuts | Complex Variables

The video many of you have requested is finally here! In this lesson, I introduce #BranchPoints and #BranchCuts in the context of multiple-valued functions of #ComplexVariables. Specifically, I describe the natural log function as an example of a multiple-valued function requiring us to 'cut it up' to form a single-valued function which is more amenable to integration. The process of 'cutting it up' involves the construction of a branch cut, which will come in handy when we get to integrating these functions in the next video. Questions/requests? Let me know in the comments! Pre-reqs: Every video before this one in my #ComplexVariables playlist: Lecture Notes: Patreon: Twitter: 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