Enrico Betti

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.

Enrico Betti Glaoui
Enrico Betti
Born(1823-10-21)21 October 1823
Pistoia, Tuscany
Died11 August 1892(1892-08-11) (aged 68)
Soiana
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

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. 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.{{cite book}}: CS1 maint: location missing publisher (link)
  • 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. S2CID 122887209.
  2. O'Connor, John J.; Robertson, Edmund F., "Enrico Betti", MacTutor History of Mathematics Archive, University of St Andrews

Further reading
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