Jordan's Lemma Proof | Complex Variables

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').

Questions/Requests? Let me know in the comments!

Pre-reqs: The videos before this one on this playlist: Complex Variables and Functions
ML Inequality Video: Complex Integration: The ML Inequalit...

Lecture Notes: https://drive.google.com/open?id=1ZQC...
Patreon: https://www.patreon.com/user?u=4354534
Twitter: Twitter: FacultyOfKhan

Special thanks to my Patrons for supporting me at the $5 level or higher:
- James Mark Wilson
- Yuan Gao
- Marcin Maciejewski
- Sabre
- Jacob Soares
- Yenyo Pal
- Lisa Bouchard
- Bernardo Marques
- Connor Mooneyhan
- Richard McNair
- Guillaume Chereau

• #education
• #jordan_complex
• #complex_variables
• #jordans_lemma
• #jordan_lemma
• #jordans_lemma
• #jordans_inequality
• #jordan_inequality
• #complex_analysis
• #residue_theorem
• #residue_theorem_application
• #ml_inequality
• #khan_jordan_lemma
• #faculty_of_khan
• #math
• #applied_math
• #complex_functions
• #jordan_lemma_proof
• #jordan_proof
• #jordans_lemma_proof
• #jordans_theorem
• #theorem_proof