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Article ID: CBB000933173

D'Alembert et la notion de solution des équations différentielles aux dérivées partielles (2008)

Bollettino di Storia delle Scienze Matematiche
Volume: 28
Pages: 155--166

Publication Date: 2008
Edition Details: Proceedings from the conference “D'Alembert, i Lumi, l'Europa,” organized by the International Centre of Mathematical Research in Levico Terme in September 2006.
Language: French

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Mathematics Calculus Differential equations 18th century Alembert, Jean le Rond d' Euler, Leonhard Lagrange, Joseph Louis Laplace, Pierre Simon

In this paper we examine the question concerning the notion of solution of partial differential equations which arose during the famous discussion on the vibrating string especially in J. d'Alembert's works. Also, we present J. d'Alembert's and L. Euler's ideas as well as J. Lagrange's and P.-S. Laplace's contributions and also the causes (mathematical and metaphysical) on the incomprehensible by the two great mathematicians who in reality they didn't have a subject of discussion: d'Alembert and Euler had their own notions of solution - from modern point of view classic in J. d'Alembert's works and 'weak' (or 'generalized') in these of L. Euler.

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Article Crépel, Pierre; Pepe, Luigi (2008) D'Alembert, i Lumi, l'Europa: D'Alembert, les Lumières, l'Europe. Bollettino di Storia delle Scienze Matematiche (p. 115). unapi

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