Mathematical Work
Dini worked in the field of 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 a Dini's criterion for the convergence of Fourier series and investigated the potential theory and differential geometry of surfaces, based on work by Eugenio Beltrami.
One of his students was Luigi Bianchi.
The implicit function theorem is known in Italy as the Dini's theorem.
Read more about this topic: Ulisse Dini
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