Louis-Francois-Antoine Arbogast ( , - or , ) - French mathematician. He described the number series called by his name, was the first to separate the operation symbols from the quantity symbols. In 1800, he published a treatise [5] where he first stated the formula [6] , which today is known as the Faa di Bruno formula , 55 years before [7] , as it was published in the work of Francesco Faa di -Bruno .
| Louis-Francois-Antoine Arbogast | |
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| fr. Louis François Antoine Arbogast | |
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Content
- 1 Biography
- 2 See also
- 3 notes
- 4 Literature
- 4.1 Scientific works
- 5 Links
Biography
He was a professor of mathematics at the College de Colmar and took part in a mathematical competition held by the St. Petersburg Academy . His article brought him fame and an important place in the history of the development of computing. Arbogast submitted an essay to the St. Petersburg Academy, in which he firmly sided with Euler . In fact, he went much further than Euler in computing arbitrary functions by integrating partial differential equations [8] , arguing that functions can be discontinuous, not only in the limited sense claimed by Euler, but also in a discontinuous, more general sense, that allowed the function to consist of parts of various curves. Arbogast won the prize with his essay, and his notion of discontinuous function became important in Cauchy's more rigorous approach to analysis.
In 1789, he presented in Strasbourg a major report on differential and integral calculus at the Paris Academy of Sciences , which was never published. In the preface to a later work, he described the ideas that prompted him to write a 1789 report. In fact, he realized that there were no strict methods for determining the convergence of series , and Arbogast's career reached new heights. In addition to his mathematical post, he was appointed professor of physics at King's College Strasbourg. From April 1791, he was its rector until October 1791, when he was appointed rector of the University of Strasbourg . In 1794, he was appointed professor of calculus at the central school (soon becoming the Polytechnic School ).
His contribution to mathematics shows him as a philosophical thinker who has to face his era. In addition to introducing the discontinuous functions discussed above, he conceived calculus as operational symbols. The formal algebraic row manipulation, investigated by Lagrange and Laplace in the 1770s, was introduced by Arbogast in 1800 in the form of operator equalities. We owe him the general concept of factorial as the product of a finite number of members of arithmetic progression .
The original version of this article has been taken from a resource in the public domain of Rouse History of Mathematics .
See also
- Continuous display
- Operational calculus
Notes
- ↑ 1 2 3 4 BNF identifier : Open Data Platform 2011.
- ↑ 1 2 3 4 Archive for the history of mathematics MacTyutor
- ↑ 1 2 3 4 Sycomore / Assemblée nationale
- ↑ 1 2 Committee of Historical and Scientific Works - 1834.
- ↑ see link Arbogast, 1800 .
- ↑ Craik (2005 ).
- ↑ Faà di Bruno, 1855 .
- ↑ See Michaud & Michaud (1811 , p. 362): according to this source, he presented his memoirs in 1792.
Literature
- Birembaut, Arthur (1959), Les deux déterminations de l'unité de masse du système métrique , Revue d'histoire des sciences et de leurs applications T. 12 (1): 25–54, doi : 10.3406 / rhs. 1959.3698 , < http://www.persee.fr/web/revues/home/prescript/article/rhs_0048-7996_1959_num_12_1_3698 > Available on Persee .
- Fréchet, M. (1940), "Biographie du mathématicien alsacien Arbogast", Thalès T. 4: 43–55 .
- Lusternik, LA & Petrova, SS (1972), " Les premières étapes du calcul symbolique ", Revue d'histoire des sciences et de leurs applications T. 25 (3): 201–206, doi : 10.3406 / rhs. 1972.3289 , < http://www.persee.fr/web/revues/home/prescript/article/rhs_0151-4105_1972_num_25_3_3289 > . Available on Persee .
- Michaud, Joseph Fr. & Michaud, Louis Gabriel, eds. (1811), "Arbogast (Luis-François-Antoine)" , Biographie universelle, ancienne et moderne; ou, Histoire, par ordre alphabétique: de la vie publique et privée de tous les hommes qui se sont fait remarquer par leurs écrits, leurs actions, leurs talents, leurs vertus ou leurs crime. , vol. Tome Deuxieme, Paris: Chez Michaud Frères, p. 361–362 , < https://books.google.com/books?id=q8ltjrLl_BgC&pg=PA361 > . Perhaps the earliest biography of Arbogast, published just a few years after his death. Free access on Google books .
- Rouse Ball, WW (1960), A Short Account of the History of Mathematics (4th ed.), New York: Dover Publications , p. xxiv + 522, ISBN 0-486-20630-0 , < http://www.gutenberg.org/ebooks/31246 > An overview of the first edition, available on Project Gutenberg .
- Taton, René (1970), " Sur l'histoire des relations scientifiques franco-russes ", Revue d'histoire des sciences et de leurs applications T. 23 (3): 257–264, doi : 10.3406 / rhs. 197070.3145 , < http://www.persee.fr/web/revues/home/prescript/article/rhs_0048-7996_1970_num_23_3_3145 > Available on Persee .
- Voltz, René (October 2001), "L'Université Royale Française (18ème siècle)" , in Kraus, I. & Mayet, N., La Physique à Strasbourg. Regards sur le passé (1621–1918) , < http://www-physique-ingenierie.u-strasbg.fr/IMG/pdf/dixhuitieme.pdf > . Retrieved February 26, 2011.
- A Short Account of the History of Mathematics in the Gutenberg Project .
- Itard, Jean (1970), Arbogast, Louis François Antoine , vol. 1, New York: Charles Scribner's Sons, p. 206–208, ISBN 0-684-10114-9
Scientific Papers
- Arbogast, LFA (1800), Du calcul des derivations , Strasbourg: Levrault, p. xxiii + 404 , < https://books.google.com/books?id=YoPq8uCy5Y8C > .
- Craik, Alex DD (February 2005), " Prehistory of Faà di Bruno's Formula ", American Mathematical Monthly T. 112 (2): 217–234 , DOI 10.2307 / 30037410
- 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) Vol. 6: 479-480 , < https: / /books.google.com/books?id=ddE3AAAAMAAJ&pg=PA479 > .
Links
- J.J. O'Connor, E.F. Robertson. Louis François Antoine Arbogast www-history.mcs.st-andrews.ac.uk (2000). Date of appeal March 16, 2018.