The independent derivations by Leonhard Euler and Colin MacLaurin of the Euler-MacLaurin Summation Formula

Archive for History of Exact Sciences - Tập 33 Số 1-3 - Trang 1-13 - 1985
Stella Mills1
1Department of Scottish History, University of Edinburgh, George Square, Scotland, UK

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Tài liệu tham khảo

Jakob Bernoulli, Ars Conjectandi (Opus posthumum, Basileae, 1713).

Leonhard Euler, 1738, ?Methodus generalis Summandi progressiones?, Opera omnia, 14 (1), 42?72.

Leonhard Euler, 1741, ?Methodus universalis series summandi ulterius promota?, Opera omnia, 14 (1) 124?137.

Colin MacLaurin, Fluxions, A Treatise of Fluxions, 2 vols. (Edinburgh, 1742).

Stella Mills (ed.), The Collected Letters of Colin MacLaurin (Nantwich, Cheshire, 1982).