Concept information
Preferred term
residue theorem
Definition
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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 an ingredient of its proof.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Residue_theorem)
Broader concept
Synonym(s)
- Cauchy's residue theorem
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-J9CMHZP8-3
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