Ulisse Dini

Ulisse Dini (14 November 1845 – 28 October 1918) was an Italian mathematician and politician, born in Pisa. He is known for his contributions to real analysis, partly collected in his book "Fondamenti per la teorica delle funzioni di variabili reali".

Life and academic career

Dini attended the Scuola Normale Superiore in order to become a teacher. One of his professors was Enrico Betti. In 1865, a scholarship enabled him to visit Paris, where he studied under Charles Hermite as well as Joseph Bertrand, and published several papers. In 1866, he was appointed to the University of Pisa, where he taught algebra and geodesy. In 1871, he succeeded Betti as professor for analysis and geometry. From 1888 until 1890, Dini was rettore of the Pisa University, and of the Scuola Normale Superiore from 1908 until his death in 1918.

He was also active as a politician: in 1871 he was voted into the Pisa city council and in 1880 became a member of the Italian parliament.

Honors He has been elected honorary member of London Mathematical Society.

Work

Research activity

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.

He proved the Dini criterion for the convergence of Fourier series and investigated the potential theory and differential geometry of surfaces, based on work by Eugenio Beltrami.

His work on the theory of real functions was also important in the development of the concept of the measure on a set.

The implicit function theorem is known in Italy as Dini's theorem, not to be confused with Dini's theorem.

Teaching activity One of his students was Luigi Bianchi.

Books by U. Dini Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale (Pisa, T. Nistri, 1880) Lezioni di analisi infinitesimale. vol. 1 (Pisa, T. Nistri, 1907–1915) Lezioni di analisi infinitesimale.vol. 2 part 1 (Pisa, T. Nistri, 1907–1915) Lezioni di analisi infinitesimale.vol. 2 part 2 (Pisa, T. Nistri, 1907–1915) Fondamenti per la teorica delle funzioni di variabili reali (Pisa, T. Nistri, 1878)