Euler-Maclaurin formula

English dictionary entry

Meanings

name
  1. 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.

Word forms

Euler-Maclaurin formula the Euler-Maclaurin formula

Etymology

Discovered independently by Leonhard Euler and Colin Maclaurin around 1735.

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