Euler-Maclaurin formula

proper noun

A formula for the difference between an integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus.

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Meanings

proper nounthe Euler-Maclaurin formula
  1. mathematicsA formula for the difference between an integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus.

Origin

Discovered independently by Leonhard Euler and Colin Maclaurin around 1735.

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Cite this entry
APA

Euler-Maclaurin formula. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Euler-Maclaurin%20formula

MLA

“Euler-Maclaurin formula.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Euler-Maclaurin%20formula. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Euler-Maclaurin formula,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Euler-Maclaurin%20formula.

Source: Euler-Maclaurin formula on Wiktionary, CC BY-SA 4.0.