This lecture is part of an online undergraduate course on complex analysis.
This is a replacement for a previous video, correcting some minor typos.
We show how to use the residue calculus to sum series, such as Euler's series 1/1^2 + 1/2^2+ ...
Solution to exercise in rot 13: cv phorq bire guvegl gjb
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN
