46. Wild world of essential singularities, Casorati-Weierstrass (Cultivating Complex Analysis 5.2.3)

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

We look at behavior of holomorphic (analytic) functions near an essential singularity and we prove the Casorati-Weierstrass theorem (subsection 5.2.3 in the book).

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