Cauchy’s integral theorem and residue theorem, what’s the difference

GGGGc · Nov 21, 2023

May I ask when we should use Cauchy’s integral theorem and when to use residue theorem? It seems for integral 1/z, we can use both of them. What are the conditions for each of them?
Thanks in advance!

fresh_42 · Nov 21, 2023

The residue theorem covers more than one pole. Furthermore, it is a question which is easier to calculate. There are a lot of formulas that help to calculate residues, e.g.
https://www.physicsforums.com/insights/an-overview-of-complex-differentiation-and-integration/

Cauchy’s integral theorem and residue theorem, what’s the difference

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Cauchy’s integral theorem and residue theorem, what’s the difference

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