# Guido Fubini

**Guido Fubini** (19 January 1879 – 6 June 1943) was an Italian mathematician, known for Fubini's theorem and the Fubini–Study metric.

Guido Fubini | |
---|---|

Born | |

Died | 6 June 1943 64) | (aged

Alma mater | Scuola Normale Superiore di Pisa |

Known for | Fubini's theorem Fubini's theorem on differentiation Fubini–Study metric Fubini numbers |

Scientific career | |

Fields | Mathematics |

Doctoral advisor | Ulisse Dini Luigi Bianchi |

Born in Venice, he was steered towards mathematics at an early age by his teachers and his father, who was himself a teacher of mathematics. In 1896 he entered the Scuola Normale Superiore di Pisa, where he studied differential geometry under Ulisse Dini and Luigi Bianchi. His 1900 doctoral thesis was about Clifford's parallelism in elliptic spaces.[1]

After earning his doctorate, he took up a series of professorships. In 1901 he began teaching at the University of Catania in Sicily; shortly afterwards he moved to the University of Genoa; and in 1908 he moved to the Politecnico in Turin and then the University of Turin, where he would stay for a few decades.

During this time his research focused primarily on topics in mathematical analysis, especially differential equations, functional analysis, and complex analysis; but he also studied the calculus of variations, group theory, non-Euclidean geometry, and projective geometry, among other topics. With the outbreak of World War I, he shifted his work towards more applied topics, studying the accuracy of artillery fire; after the war, he continued in an applied direction, applying results from this work to problems in electrical circuits and acoustics.

In 1939, when Fubini at the age of 60 was nearing retirement, Benito Mussolini's Fascists adopted the anti-Jewish policies advocated for several years by Adolf Hitler's Nazis. As a Jew, Fubini feared for the safety of his family, and so accepted an invitation by Princeton University to teach there; he died in New York City four years later.

A main belt asteroid, 22495 Fubini, was named in his honour.

## Books by G. Fubini

- 1920: Lezioni di analisi matematica (Società Tipografico-Editrice Nazionale, Torino)

## References

- G. Fubini (1900) D.H. Delphenich translator Clifford Parallelism in Elliptic Spaces, Laurea thesis, Pisa.

- Accademia delle Scienze di Torino, ed. (1982), "Atti del convegno matematico in celebrazione del centenario nascita di Guido Fubini e Francesco Severi",
*Atti dell'Accademia delle Scienze di Torino. I. Classe di Scienze Fisiche, Matematiche e Naturali*, Torino: Accademia delle Scienze di Torino,**115**(Supplemento): 243. The "*Proceedings of the mathematical conference for the celebration of the centenary of the birth of Guido Fubini and Francesco Severi*", including several research as well as historical papers describing the contributions of Guido Fubini and Fracesco Severi to various branches of pure and applied mathematics: the conference was held on 8–10 October 1979 at the Accademia delle Scienze di Torino. - Fichera, Gaetano (1982), "I contributi di Guido Fubini e di Francesco Severi alla teoria delle funzioni di più variabili complesse" [The contributions of Guido Fubini and Francesco Severi to the theory of functions of several complex variables],
*Atti del convegno matematico in celebrazione del centenario della nascita di Guido Fubini e Francesco Severi*, Atti dell'Accademia delle Scienze di Torino. I. Classe di Scienze Fisiche, Matematiche e Naturali,**115**, Torino: Accademia delle Scienze di Torino, pp. 23–44, MR 0727484, Zbl 0531.32001. In this paper Gaetano Fichera describes the main contributions of the two scientists to the Cauchy and the Dirichlet problem for holomorphic functions of several complex variables, as well as the impact of their work on subsequent researches. - Galletto, Dionigi (1982), "Il pensiero di Einstein nell'opera di Guido Fubini e Francesco Severi" [The thought of Einstein in the work of Guido Fubini and Francesco Severi],
*Atti del convegno matematico in celebrazione del centenario nascita di Guido Fubini e Francesco Severi: Il pensiero di Einstein nell'opera di Guido Fubini e Francesco Severi*, Atti dell'Accademia delle Scienze di Torino. I. Classe di Scienze Fisiche, Matematiche e Naturali,**115**, Torino: Accademia delle Scienze di Torino, pp. 205–216, MR 0727498, Zbl 0553.01012. In this paper Dionigi Galletto describes the main contributions of the two scientists to the theory of special and general relativity.