Geodesic
Historical Infinitesimalists and modern historiography of infinitesimals
Antiquitates Mathematicae, Tome 16 (2022), pp. 189-257.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In the history of infinitesimal calculus, we trace innovation from Leibniz to Cauchy and reaction from Berkeley to Mansion and beyond. We explore 19th century infinitesimal lores, including the approaches of Simeon-Denis Poisson, Gaspard-Gustave de Coriolis, and Jean-Nicolas Noel. We examine contrasting historiographic approaches to such lores, in the work of Laugwitz, Schubring, Spalt, and others, and address a recent critique by Archibald et al. We argue that the element of contingency in this history is more prominent than many modern historians seem willing to acknowledge.
DOI : 10.14708/am.v16i1.7169
Classification : Primary 01A45, 01A61 Secondary 01A85, 01A90, 26E35.
Mots-clés : Infinitesimals, determinacy, contingency, Leibniz, Cauchy 
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Jacques Bair; Mikhail Katz; Alexandre Borovik; Vladimir Kanovei; Semen S. Kutateladze; Sam Sanders; David Sherry; Monica Ugaglia. Historical Infinitesimalists and modern historiography of infinitesimals. Antiquitates Mathematicae, Tome 16 (2022), pp.  189-257. doi : 10.14708/am.v16i1.7169. http://geodesic.mathdoc.fr/articles/10.14708/am.v16i1.7169/

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