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.
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Origin Italy
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References
Adapted from other CC BYSA 4.0 Sources:
 Oâ€™Connor, John J; Robertson, Edmund F: MacTutor History of Mathematics Archive