Alexis Fontaine's integration of ordinary differential equations and the origins of the calculus of several variables

Annals of Science 39 (1):1-36 (1982)

Abstract
Alexis Fontaine des Bertins was the first French mathematician to make use of the calculus of several variables in the integration of ordinary differential equations . In this paper I argue that this usage evolved from Fontaine's ‘fluxio-differential method’ of the early 1730s. In this way I extend the thesis enunciated in an earlier paper in this journal
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DOI 10.1080/00033798200200101
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The Inverse Problem of Central Forces.E. J. Aiton - 1964 - Annals of Science 20 (1):81-99.

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