A graduate course on complex analysis, equivalent to an incoming graduate student one-semester (or a bit more) class.
We prove that injective holomorphic function always have nonzero derivative and we also find a neat formula for the inverse (section 5.6 in the book).
The course is based on the book "Guide to Cultivating Complex Analysis", which is available freely online at
www.jirka.org/ca/
(You can also buy an inexpensive paperback copy, the best way to support this project)
See the course playlist: • Cultivating Complex An...
Негізгі бет 54. Inverses of holomorphic functions (Cultivating Complex Analysis 5.6)
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