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Evolution of the Euler-Maclaurin sum formula
Published online by Cambridge University Press: 12 October 2022
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The correspondence between the discrete and the continuous is a fascinating theme in mathematics. The Euler-Maclaurin sum formula, discovered independently and almost contemporaneously by Leonhard Euler (1707–1783) and Colin Maclaurin (1698–1746), in the early 1730s, relates the sum of the values of a function at the integers in the interval [a, b] with its integral over [a, b]. It thus equates a discrete sum with a continuous sum (integral) of a related function.
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- © The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association
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