Uploaded August 2016 | Updated September 2026, 2 weeks ago
In this video, I will prove the Residue Theorem, using results that were shown in the last video. Note that the theorem proved here applies to contour integrals around simple, closed curves.
Any questions? Leave them in the comments below!
Lecture Notes: drive.google.com/file/d/0B_urJu4cgDhMd0NmUlpiLTU3WGc/view?usp=sharing&resourcekey=0-EbJymnBaPCC7W0zDUhf-9A
Patreon Link: patreon.com/user?u=4354534
CORRECTION: Just a note that the sum at 0:30 and 6:15 should start at j = 1. Annotations are gone now so my best bet is to update the description with corrections. Regardless, this is a fairly minor detail and shouldn't affect things too much.
In this video, I will prove the Residue Theorem, using results that were shown in the last video. Note that the theorem proved here applies to contour integrals around simple, closed curves.
Any questions? Leave them in the comments below!
Lecture Notes: drive.google.com/file/d/0B_urJu4cgDhMd0NmUlpiLTU3WGc/view?usp=sharing&resourcekey=0-EbJymnBaPCC7W0zDUhf-9A
Patreon Link: patreon.com/user?u=4354534
CORRECTION: Just a note that the sum at 0:30 and 6:15 should start at j = 1. Annotations are gone now so my best bet is to update the description with corrections. Regardless, this is a fairly minor detail and shouldn't affect things too much.
