Residue Calculus

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In this video, I discuss residues of complex functions at singularities, tying together various concepts from previous videos.

#ComplexAnalysis #Functions #CauchyGoursat #Integration #Calculus #Laurent #Taylor #Series #Negative #Power #Polynomial #CauchyFormula #CauchyRiemann #Contour #Deformation #Mathematics

#DrPeyam #BlackPenRedPen #FlammableMaths #3Blue1Brown #MichaelPenn #KhanAcademy #Tibees #AndrewDotson #SteveMould #VibingMaths #PolarPi

Intro: (00:00)
Residues: (00:41)
Multiple Poles: (11:09)
Residue of Poles: (18:24)
Essential Singularities: (26:20)
Conclusion: (31:17)
Outro: (34:57)
  1. Gamma Digamma
  2. residue theorem
  3. residue
  4. residues
  5. cauchy residue theorem
  6. complex calculus
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I appreciate your videos and I did understand this one but I think that has a lot to do with the fact that I was already mostly familiar with the content covered. I think it could have been more clearly presented with revisions and / or editing. Not trying to nitpick, just trying to give some constructive criticism. It felt a bit too much at times that you were winging it and having to go back and attempt to clarify or correct something you had just said. I wish you the best though and I will continue to follow your channel and videos.

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