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: https://www.youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB
Lecture Notes: https://drive.google.com/open?id=1RMcdOb5zeqUL2Lasvy7LC84PTHNg8z2c
Patreon: https://www.patreon.com/user?u=4354534
Twitter: https://twitter.com/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
Видео Introducing Branch Points and Branch Cuts | Complex Variables канала Faculty of Khan
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: https://www.youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB
Lecture Notes: https://drive.google.com/open?id=1RMcdOb5zeqUL2Lasvy7LC84PTHNg8z2c
Patreon: https://www.patreon.com/user?u=4354534
Twitter: https://twitter.com/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
Видео Introducing Branch Points and Branch Cuts | Complex Variables канала Faculty of Khan
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