Vito Volterra
Vito Volterra | |
---|---|
Born | Ancona, Papal States | 3 May 1860
Died | 11 October 1940 Rome, Kingdom of Italy | (aged 80)
Alma mater | University of Pisa ForMemRS[1] |
Scientific career | |
Fields | Mathematics |
Institutions | University of Pisa University of Turin Sapienza University of Rome |
Doctoral advisor | Enrico Betti |
Doctoral students | Paul Lévy Joseph Pérès Cornelia Fabri |
Vito Volterra KBE
Biography
Born in
Volterra showed early promise in mathematics before attending the University of Pisa, where he fell under the influence of Enrico Betti, and where he became professor of rational mechanics in 1883. He immediately started work developing his theory of functionals which led to his interest and later contributions in integral and integro-differential equations. His work is summarised in his book Theory of functionals and of Integral and Integro-Differential Equations (1930).
In 1892, he became professor of mechanics at the
After World War I, Volterra turned his attention to the application of his mathematical ideas to biology, principally reiterating and developing the work of
Volterra is the only person who was a plenary speaker in the International Congress of Mathematicians four times (1900, 1908, 1920, 1928).[6][7][8][9][10]
Volterra was an International Member of the United States National Academy of Sciences and the American Philosophical Society.[11][12]
In 1922, he joined the opposition to the
In 1936, he had been appointed a member of the Pontifical Academy of Sciences, on the initiative of founder Agostino Gemelli.
He died in Rome on 11 October 1940. He is buried in the Ariccia Cemetery. The Academy organised his funeral.
Family
In 1900 he married Virginia Almagia, a cousin.[13] Their son Edoardo Volterra (1904–1984) was a famous historian of Roman law.[14]
Volterra also had a daughter, Luisa Volterra, who married
Selected writings by Volterra
- 1912. The theory of permutable functions. Princeton University Press.
- 1913. Leçons sur les fonctions de lignes. Paris: Gauthier-Villars.[15]
- 1912. Sur quelques progrès récents de la physique mathématique. Clark University.[16]
- 1913. Leçons sur les équations intégrales et les équations intégro-différentielles. Paris: Gauthier-Villars.[17]
- 1926, "Variazioni e fluttuazioni del numero d'individui in specie animali conviventi," Mem. R. Accad. Naz. dei Lincei 2: 31–113.
- 1926, "Fluctuations in the abundance of a species considered mathematically," Nature 118: 558–60.
- 1930. Theory of functionals and of integral and integro-differential equations. Blackie & Son.[18]
- 1931. Leçons sur la théorie mathématique de la lutte pour la vie. Paris: Gauthier-Villars.[19] Reissued 1990, Gabay, J., ed.
- 1936. with Joseph Pérès: Théorie générale des fonctionnelles. Paris: Gauthier-Villars.[20]
- 1938. with Bohuslav Hostinský: Opérations infinitésimales linéaires. Paris: Gauthier-Villars.[21]
- 1960. Sur les Distorsions des corps élastiques (with Enrico Volterra). Paris: Gauthier-Villars.
- 1954-1962. Opere matematiche. Memorie e note.[22] Vol. 1, 1954; Vol. 2, 1956; Vol. 3, 1957; Vol. 4, 1960; Vol. 5, 1962; Accademia dei Lincei.
See also
Notes
- .
- ISBN 0-387-10279-5.
- ^ O'Connor, John J.; Robertson, Edmund F., "Vito Volterra", MacTutor History of Mathematics Archive, University of St Andrews
- ^ According to Accardi (1992, p. 150). Precisely, Accardi's analysis of the contribution of Volterra to the founding of functional analysis is aimed to show that he was the sole founder of the field, and to stimulate the readers to read Volterra's original papers.
- ISBN 0-902-198-84-X.
- ^ "International Congress of Mathematicians".
- ^ "Betti, Brioschi, Casorati, trois analystes italiens et trois manières d'envisager les questions d'analyse par Vito Volterra". Compte rendu du deuxième Congrès international des mathématiciens tenu à Paris du 6 au 12 Aout 1900. Vol. Tome 2. 1902. pp. 43–57.
- ^ Volterra, Vito. "Le matematiche in Italia nella seconda metà del secolo XIX." In Atti del IV Congresso Internazionale dei Matematici (Roma 1908), vol. 1, pp. 55-65. 1909.
- ^ "Sur l'enseignement de la physique mathématique et de quelques points d'analyse par Vito Volterra" (PDF). Compte rendu du Congrès international des mathématiciens tenu à Strasbourg du 22 au 30 Septembre 1920. 1921. pp. 81–97.
- ^ Volterra, Vito. "La teoria dei funzionali applicata ai fenomeni ereditari." Atti Congr. intern. dei Mat. a Bologna, vol. 1 (1928), pp. 215–232
- ^ "Vito Volterra". www.nasonline.org. Retrieved 9 November 2023.
- ^ "APS Member History". search.amphilsoc.org. Retrieved 9 November 2023.
- ISBN 0-902-198-84-X.
- S2CID 180699084.
- MR 1559651.
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Biographical references
- Zbl 0061.00605, archived from the original(PDF) on 5 March 2016, retrieved 23 June 2014.
- Zbl 0973.01024. "Vito Volterra fifty years after his death" is detailed biographical survey paper on Vito Volterra, dealing mainly with scientific, philosophical and moral aspects of his personality.
- Gemelli, Agostino (1942), "La relazione del presidente" [The president's relation] (PDF), Acta Pontificia Academia Scientarum, 6: XI–XXIV. The commemorative address pronounced by Agostino Gemelli on the occasion of the first seance of the fourth academic year of Pontificial Academy of Sciences: it includes his commemoration of various deceased members.
- .
- Pancaldi, Giuliano (1993), "Vito volterra: Cosmopolitan Ideals and Nationality in the Italian Scientific Community between the Belle époque and the First World War", S2CID 144918235.
- Pontificia Academia Scientiarum, pp. 758–775.
- Zbl 0060.01808. The commemorative address by Carlo Somigliana, colleague and friend of Vito Volterra.
General references
- Zbl 0980.01016. In this paper Luigi Accardi describes the early research work of Vito Volterra on functionals, leading to the creation of functional analysis.
- ISSN 0391-805X.
- Zbl 0977.01022. "The work of Vito Volterra on hereditary phenomena and some of their consequences" is an ample technical survey paper on the research work of Vito Volterra on hereditary phenomena in mathematical physics.
- Israel, G. (2005), "Book on mathematical biology", in Zbl 1090.01002
- Israel, G. (1988). "On the contribution of Volterra and Lotka to the development of modern biomathematics". History and Philosophy of the Life Sciences. 10 (1): 37–49. PMID 3045853.
- Scudo, F. (1971). "Vito Volterra and theoretical ecology". Theoretical Population Biology. 2 (1): 1–23. PMID 4950157..
- Scudo, Francesco M. (1992), "Vito Volterra, "Ecology" and the quantification of "Darwinism"", in Zbl 0978.01026.
External links
- Quotations related to Vito Volterra at Wikiquote
- Gustavo Colonnetti e le origini dell'ingegneria in Italia, Fausto Giovannardi
- Works by Vito Volterra at Project Gutenberg
- Works by or about Vito Volterra at Internet Archive