Person: Dini, Ulisse
Ulisse Dini was an Italian mathematician whose most important work was on the theory of functions of a real variable.
Mathematical Profile (Excerpt):
- In 1859, when Dini was thirteen years old, there was a war with Austria in which the French at first joined the Italians against the Austrians.
- In 1865 Dini entered a competition for a scholarship to provide the necessary funds to allow a student to further their studies abroad.
- This was a period of high mathematical activity for Dini and seven publications came out of the research he undertook during his time in Paris.
- Dini returned to Pisa in 1866, and was appointed to a post in the University of Pisa.
- Dini progressed quickly in his career at the University of Pisa, being appointed to Betti's chair of analysis and higher geometry in 1871.
- With a period of consolidation for the newly unified Italy, local government became very significant and Dini was keen to do all he could in this important area.
- Having served many times on the Pisa Council, Dini was elected to the national Italian parliament in 1880 as a representative from Pisa.
- Dini's most important work in mathematics was on the theory of functions of a real variable.
- Dini was one of the greatest masters of generalisation and constructing counterexamples.
- Dini looked at infinite series and generalised results such as a theorem of Kummer and one of Riemann, the ideas for which had first emerged in work of Dirichlet.
- He discovered a condition, now known as the Dini condition, ensuring the convergence of a Fourier series in terms of the convergence of a definite integral.
- As well as trigonometric series, Dini studied results on potential theory.
- Dini published a number of major texts throughout his career.
- Dini's most famous student was Bianchi.
Born 14 November 1845, Pisa (now Italy). Died 28 October 1918, Pisa, Italy.
View full biography at MacTutor
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Adapted from other CC BY-SA 4.0 Sources:
- O’Connor, John J; Robertson, Edmund F: MacTutor History of Mathematics Archive