Ulisse Dini | |
|---|---|
 | |
| Born | (1845-11-14)14 November 1845 |
| Died | 28 October 1918(1918-10-28) (aged 72) Pisa, Italy |
| Alma mater | Scuola Normale Superiore |
| Known for |
|
| Scientific career | |
| Fields | Mathematical analysis |
| Doctoral advisor | Enrico Betti |
| President of the Accademia nazionale delle scienze | |
| In office 12 May 1910 – 30 June 1918 | |
| Preceded by | Stanislao Cannizzaro |
| Succeeded by | Vito Volterra |
Ulisse Dini (14 November 1845 – 28 October 1918) was anItalianmathematician andpolitician, born inPisa. He is known for his contributions toreal analysis, partly collected in his book "Fondamenti per la teorica delle funzioni di variabili reali".[1]
Dini attended theScuola Normale Superiore in order to become a teacher. One of his professors wasEnrico Betti. In 1865, a scholarship enabled him to visitParis, where he studied underCharles Hermite as well asJoseph Bertrand, and published several papers. In 1866, he was appointed to theUniversity of Pisa, where he taughtalgebra andgeodesy. In 1871, he succeeded Betti as professor foranalysis andgeometry. From 1888 until 1890, Dini wasrettore[2] of the Pisa University, and of theScuola Normale Superiore from 1908 until his death in 1918.
He was also active as apolitician: in 1871 he was voted into the Pisacity council and in 1880 became a member of theItalian parliament.
He has been elected honorary member ofLondon Mathematical Society.[3]
Thus, by the year 1877, or seven years from the time he began, he published the treatise, since famous, entitled Foundations for the Theory of Functions of Real Variables (Fondamenti per la teoria delle funzioni di variabili reali). Much of what Dini here sets forth concerning such topics as continuous and discontinuous functions, the derivative and the conditions for its existence, series, definite integrals, the properties of the incremental ratio, etc., was entirely original with himself and has since come to be regarded everywhere as basal in the real variable theory.
— Walter Burton Ford, (Ford 1920, p. 174).
Nell'analisi del XX secolo ha avuto innanzitutto ampio sviluppo la teoria delle funzioni di variabili reali (inaugurata nel 1878 da un libro del Dini) in relazione alle operazioni classiche del calcolo.[4]
— Francesco Severi, (Severi 1957, p. 23).
Dini worked in the field of mathematical analysis during a time when it was begun to be based on rigorous foundations. In addition to his books, he wrote about sixty papers.[5]
He proved theDini criterion for theconvergence ofFourier series and investigated thepotential theory anddifferential geometry ofsurfaces, based on work byEugenio Beltrami.
His work on the theory of real functions was also important in the development of the concept of themeasure on a set.[6]
Theimplicit function theorem is known in Italy as Dini's theorem, not to be confused withDini's theorem.
One of his students wasLuigi Bianchi.
