Good Complex Analysis Youtube Playlists

Understanding complex analysis - the study of functions of a complex variable - is important because we're exploring the Riemann Zeta function extended into the complex plane.

The following are three youtube playlists which I have found to be high quality and accessible.

1. Open University M332

This course from the UK's amazing Open University programme is simply excellent:

• https://www.youtube.com/playlist?list=PLmrgknFb6E34T9_dOkH0IT4NOFUtMdJcN

2. Richard E Borcherd's Undergraduate Course on Complex Analysis

Richard E Borcherds is a leading mathematician (Fields Medal winner) and knows his subject. This combined with a gentle narrative helps us understand the subject better, not just be exposed to lots of facts.

• https://www.youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN

3. Petra Bonfert-Taylor's Analysis of a Complex Kind

Petra Bonfert-Taylor is an accomplished German mathematician specialising in complex analysis. Her very friendly approach, one which empathises with the newcomer or learning student, is particularly valuable.

• https://www.youtube.com/playlist?list=PLi7yHjesblV0sSfZzWdSUXGO683n_nJdQ

I found this playlist really good for whizzing through on a first pass to get an overall feel for the various themes in complex analysis.