The independent derivations by Leonhard Euler and Colin MacLaurin of the Euler-MacLaurin summation formula

DOI10.1007/BF00328047zbMath0607.01013MaRDI QIDQ1085145

B. George

Publication date: 1985

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of real functions (26-03)

Related Items (7)

Summation Formulas of Euler–Maclaurin and Abel–Plana: Old and New Results and Applications ⋮ A second look at the interpolatory background of the Euler-Maclaurin quadrature formula ⋮ Euler–Maclaurin expansions without analytic derivatives ⋮ Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method ⋮ The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis ⋮ Some aspects of Euler's theory of series: Inexplicable functions and the Euler-Maclaurin summation formula ⋮ Euler’s constant: Euler’s work and modern developments

Cites Work

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