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)
  Copy   BIBTEX

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

Categories

Add categories

Keywords

Reprint years

DOI

10.1080/00033798200200101

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,098

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Alexis Fontaine's 'Fluxio-differential method' and the origins of the calculus of several variables.John L. Greenberg - 1981 - Annals of Science 38 (3):251-290.
On the relation between elementary partial difference equations and partial differential equations.I. P. van den Berg - 1998 - Annals of Pure and Applied Logic 92 (3):235-265.
A. N. Kolmogorov, A. P. Yushkevich, Mathematics Of The 19th Century, Vol. 3 : Function Theory According To Chebyshev, Ordinary Differential Equations, Calculus Of Variations, Theory Of Finite Differences. Transl. From The Russian By Roger Cooke. [REVIEW][author unknown] - 2001 - Revue d'Histoire des Sciences 54 (3):401-402.
Recursive analysis of singular ordinary differential equations.Peter Buser & Bruno Scarpellini - 2010 - Annals of Pure and Applied Logic 162 (1):20-35.
Stability Analysis for Differential Equations of the General Conformable Type.Abdellatif Ben Makhlouf, El-Sayed El-Hady, Salah Boulaaras & Mohamed Ali Hammami - 2022 - Complexity 2022:1-6.
…and so Euler discovered Differential Equations.Pablo Rodríguez-Vellando - 2019 - Foundations of Science 24 (2):343-374.
A Parameter-Free Model Comparison Test Using Differential Algebra.Heather A. Harrington, Kenneth L. Ho & Nicolette Meshkat - 2019 - Complexity 2019:1-15.
by Joel Moses.Marvin L. Minsky - unknown
Review: John Cleave, The Primitive Recursive Analysis of Ordinary Differential Equations and the Complexity of their Solutions. [REVIEW]Webb Miller - 1974 - Journal of Symbolic Logic 39 (2):345-346.
Effective content of the calculus of variations I: Semi-continuity and the chattering lemma.Xiaolin Ge & Anil Nerode - 1996 - Annals of Pure and Applied Logic 78 (1-3):127-146.

Analytics

Added to PP
2014-01-20

Downloads
28 (#589,033)

6 months
8 (#415,230)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Brook Taylor and the method of increments.L. Feigenbaum - 1985 - Archive for History of Exact Sciences 34 (1-2):1-140.
La época del punto: el legado matemático de Newton en el siglo XVIII.Niccolò Guicciardini - 2007 - Estudios de Filosofía (Universidad de Antioquia) 35:67-110.

Add more citations

References found in this work

The inverse problem of central forces.E. J. Aiton - 1964 - Annals of Science 20 (1):81-99.

Add more references