Enrico Betti

Enrico Betti
Enrico Betti
Born	(1823-10-21)21 October 1823 Pistoia, Tuscany
Died	11 August 1892(1892-08-11) (aged 68) Soiana
Nationality	Italian
Alma mater	University of Pisa
Known for	Betti numbers Betti's theorem
Scientific career
Fields	Mathematics
Doctoral advisor	Giuseppe Doveri
Doctoral students	Cesare Arzelà Luigi Bianchi Ulisse Dini Federigo Enriques Gregorio Ricci-Curbastro Vito Volterra

Enrico Betti (21 October 1823 – 11 August 1892) was an Italian mathematician, now remembered mostly for his 1871 paper 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). 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

• Opere matematiche di Enrico Betti, pubblicate per cura della R. Accademia de' lincei (2vols.) (U. Hoepli, Milano, 1903–1913)
• 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).

See also

• Betti cohomology
• Betti group
• Betti number

Further reading

• Carruccio, Ettore (1970–1980). "Betti, Enrico". Dictionary of Scientific Biography. Vol. 2. New York: Charles Scribner's Sons. pp. 104–106. ISBN 978-0-684-10114-9.

External links

• O'Connor, John J.; Robertson, Edmund F., "Enrico Betti", MacTutor History of Mathematics Archive, University of St Andrews
• An Italian short biography of Enrico Betti in Edizione Nazionale Mathematica Italiana online.
• Enrico Betti at the Mathematics Genealogy Project