Math
On this page, I’m sharing results and applications specifically from my complex analysis course.
Foundations
Maps in the Complex Plane
Fractional Linear Transformations
Transformations on the Riemann Sphere
Resources
If you’re interested in this subject matter, I suggest Theodore Gamelin’s Complex Analysis (personal favorite) or Tristan Needham’s Visual Complex Analysis (focuses on geometric, visual proofs). Alternatively, Lars Ahlfors’ Complex Analysis provides the most rigorous proofs.
