Harmonic Functions and Dirichlet Problems in Two Dimensions

The harmonic functions and Dirichlet Problem are describes in the two dimensions using Holomorphic functions.

Timestamps:
00:00 Holomorphic Functions and 2D Harmonic Functions
06:28 Examples of Holomorphic Functions (and 2D Harmonic Functions)
18:13 A Consequence of Riemann Mapping Theorem
24:28 Conformality of Unit Disk to Itself
28:24 Poisson Kernel for 2D Disk
32:39 Analytic extension to Interior or Harmonic Function with Dirichlet Boundary Condition on a two Dimensional set
38:36 Conformality of Unbounded domains to Unit Disk