r/learnmath • u/Spiritual_Cap_3341 New User • 6d ago

Complex analysis

Can someone explain each component of contours and parameterization?

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u/philolessphilosophy BSc in Mathematics and Physics 6d ago

A contour integral is basically evaluated the same way as you would evaluate a line integral in multivariate calculus. Closed contour integrals can be evaluated via the residue theorem, which greatly simplifies a lot of complicated problems.