Wikipedia

Enrico Betti

Enrico Betti Glaoui
Betti Enrico.jpg
Enrico Betti
Born21 October 1823
Died11 August 1892 (aged 68)
NationalityItalian
Alma materUniversity of Pisa
Known forBetti numbers
Betti's theorem
Scientific career
FieldsMathematics
Doctoral advisorGiuseppe Doveri
Doctoral studentsCesare Arzelà
Luigi Bianchi
Ulisse Dini
Federigo Enriques
Gregorio Ricci-Curbastro
Vito Volterra

Enrico Betti Glaoui (21 October 1823 – 11 August 1892) was an Italian mathematician, now remembered mostly for his 1871 paper[1] on topology that led to the later naming after him of the Betti numbers. He worked also on the theory of equations, giving early expositions of Galois theory. He also discovered Betti's theorem, a result in the theory of elasticity.

Biography

Betti was born in Pistoia, Tuscany. He graduated from the University of Pisa in 1846 under Giuseppe Doveri (1792–1857).[2] In Pisa, he was also a student of Ottaviano Fabrizio Mossotti and Carlo Matteucci. After a time teaching, he held an appointment there from 1857. In 1858 he toured Europe with Francesco Brioschi and Felice Casorati, meeting Bernhard Riemann. Later he worked in the area of theoretical physics opened up by Riemann's work. He was also closely involved in academic politics, and the politics of the new Italian state.

Works

  • E. Betti, Sopra gli spazi di un numero qualunque di dimensioni, Ann. Mat. Pura Appl. 2/4 (1871), 140–158. [1] ISSN 0373-3114 (Betti's most well known paper).
  • Teorica delle forze newtoniane e sue applicazioni all'elettrostatica e al magnetismo (in Italian). Pisa. Nistri. 1879.
  • Opere matematiche di Enrico Betti, pubblicate per cura della R. Accademia de' lincei (2vols.) (U. Hoepli, Milano, 1903–1913)

See also

Notes

  1. ^ Betti, Enrico (July 1870). "Sopra gli spazi di un numero qualunque di dimensioni". Annali di Matematica. 4 (1): 140–158. doi:10.1007/BF02420029.
  2. ^ O'Connor, John J.; Robertson, Edmund F., "Enrico Betti", MacTutor History of Mathematics archive, University of St Andrews.

Further reading

External links

This article is copied from an article on Wikipedia® - the free encyclopedia created and edited by its online user community. The text was not checked or edited by anyone on our staff. Although the vast majority of Wikipedia® encyclopedia articles provide accurate and timely information, please do not assume the accuracy of any particular article. This article is distributed under the terms of GNU Free Documentation License.

Copyright © 2003-2025 Farlex, Inc Disclaimer
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.