The Generalized Method of Exhaustion

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dc.creatorRuffa, Anthony A.
dc.date2000-11-13
dc.date.accessioned2026-07-07T04:38:33Z
dc.date.available2026-07-07T04:38:33Z
dc.descriptionThe method of exhaustion is generalized to a simple formula that can be used to integrate functions under very general conditions, provided that the integral exists. Both a geometric proof (following the usual procedure for the method of exhaustion) and an independent algebraic proof are provided. Applications provided as examples include use of the formula to generate new series for common functions as well as computing the group velocity distribution resulting from waves diffracted from an aperture.
dc.description7 pages, 3 figures provided separately as .gif files
dc.identifierhttps://arxiv.org/abs/math/0011078
dc.identifierhttp://arxiv.org/abs/math/0011078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60324
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subject26B15;30B99;78A45
dc.titleThe Generalized Method of Exhaustion
dc.typetext

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