Difference between revisions of "Residue calculus"

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(New page: The '''residue calculus''' is a method of definite integration which relies heavily on Cauchy's residue theorem. The idea is to rewrite a definite integral on the real line as ...)
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Revision as of 18:38, July 10, 2008

The residue calculus is a method of definite integration which relies heavily on Cauchy's residue theorem. The idea is to rewrite a definite integral on the real line as limit of integrals in the complex plane which are, in some sense, easier to compute.

Some mathematicians reject the method of residue calculus, as it does not rely on elementary proofs.

Example

(To be provided.)