A graduate course on complex analysis, equivalent to an incoming graduate student one-semester (or a bit more) class.

We prove the identity theorem and the maximum principle for harmonic functions using the corresponding theorems for holomorphic functions. (Subsection 7.1.2 in the book).

The course is based on the book "Guide to Cultivating Complex Analysis", which is available freely online at

https://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 Analysis