In this video, I prove Jordan’s Lemma, which is one of the key concepts in Complex Variables, especially when it comes to evaluating improper integrals of polynomial expressions which also have either sine or cosine multiplying them.
I begin by proving Jordan’s Inequality, which then leads nicely into the proof of Jordan’s Lemma. Note here that Jordan is pronounced in the French manner (i.e. as ’Jordon’).
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Pre-reqs: The videos before this one on this playli