Residue theorem
The theorem that complex contour integrals are simply the sums of residues of singularities contained within the contour
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Residue theorem
The theorem that complex contour integrals are simply the sums of residues of singularities contained within the contour
In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions over closed curves; it can often be used to compute real integrals and infinite series as well. It generalizes the Cauchy integral theorem and Cauchy's integral formula.
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From Wikipedia
In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions over closed curves; it can often be used to compute real integrals and infinite series as well. It generalizes the Cauchy integral theorem and Cauchy's integral formula. The residue theorem should not be confused with special cases of the generalized Stokes' theorem; however, the latter can be used as a component of its proof.
Text: Wikipédia, CC BY-SA 4.0. · Image: Geek3 (CC BY-SA 3.0) ·
