Louis François Antoine Arbogast
Louis François Antoine Arbogast | |
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Born | Université de Strasbourg | 4 October 1759
Louis François Antoine Arbogast (4 October 1759 – 8[2] April 1803) was a French mathematician. He was born at Mutzig in Alsace and died at Strasbourg, where he was professor. He wrote on series and the derivatives known by his name: he was the first writer to separate the symbols of operation from those of quantity, introducing systematically the operator notation DF for the derivative of the function F.[3] In 1800, he published a calculus treatise[4] where the first known[5] statement of what is currently known as Faà di Bruno's formula appears, 55 years before the first published paper[6] of Francesco Faà di Bruno on that topic.
Biography
He was professor of mathematics at the Collège de
In 1789 he submitted in Strasbourg a major report on the differential and integral calculus to the
His contributions to mathematics show him as a philosophical thinker. As well as introducing discontinuous functions, as we discussed above, he conceived the calculus as operational symbols. The formal algebraic manipulation of series investigated by
The original version of this article was taken from the
See also
- Discontinuous function
- Operational calculus
- Todd Arbogast
Notes
- ^ According to Taton (1970, p. 259), which mention the mathematician and a few of his achievements while describing the history of scientific relationships between France and Russia.
- ^ MacTutor History of Mathematics archive is believed to be the correct one. In fact, the confusion may come from the fact that his death was registered, in the Republican calendar, as 18 Germinal Year XI, which translates to 8 April 1803. See his death certificate in the Archives du Bas-Rhin, document 1273 [1][permanent dead link]
- ^ See reference Cajori (2007).
- ^ See reference Arbogast 1800.
- ^ According to the accurate analysis of Craik (2005).
- ^ Precisely the paper Faà di Bruno 1855.
- ^ See Michaud & Michaud (1811, p. 362): according to this source, he submitted his memoir in 1792.
References
General references
- Birembaut, Arthur (1959), "Les deux déterminations de l'unité de masse du système métrique", Revue d'histoire des sciences et de leurs applications (in French), 12 (1): 25–54, doi:10.3406/rhs.1959.3698 Available from Persee.
- ISBN 978-1-60206-714-1
- Zbl 0061.00509.
- Zbl 0238.01016. Available from Persee.
- Google books.
- JFM 20.0001.01 (Review of the first edition), available from Project Gutenberg.
- doi:10.3406/rhs.1970.3145 Available from Persee.
- Voltz, René (October 2001), "L'Université Royale Française (18ème siècle)" (PDF), in Kraus, I.; Mayet, N. (eds.), La Physique à Strasbourg. Regards sur le passé (1621–1918) (in French), retrieved February 26, 2011.
Scientific references
- Arbogast, L. F. A. (1800), Du calcul des derivations (in French), Strasbourg: Levrault, pp. xxiii+404, Entirely freely available from Google books.
- Craik, Alex D. D. (February 2005), "Prehistory of Faà di Bruno's Formula", Zbl 1088.01008.
- Faà di Bruno, F. (1855), "Sullo sviluppo delle funzioni (On the development of the functions)", Annali di Scienze Matematiche e Fisiche (Annals of Mathematics and Physics) (in Italian), 6: 479–480. A well-known paper where Francesco Faà di Bruno presents the two versions of the formula that now bears his name, published in the journal founded by Barnaba Tortolini.
Further reading
- A Short Account of the History of Mathematics at Project Gutenberg
- Itard, Jean (1970), "Arbogast, Louis François Antoine", ISBN 0-684-10114-9.