Mauro Picone

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Mauro Picone (1903)
Mauro Picone

Mauro Picone (born May 2, 1885 in Lercara Friddi near Palermo , † April 11, 1977 in Rome ) was an Italian mathematician .

Life

Picone was the son of a mining engineer in the sulfur mining industry in Sicily . After the decline of sulfur mining in Sicily, the family moved to Arezzo , where his father was a professor at a technical school, and later to Parma , where Picone finished his school. He studied with Luigi Bianchi and Ulisse Dini at the Scuola Normale Superiore in Pisa . Another influence was the mathematician EE Levi . In 1907 he acquired the diploma (Laurea) and was Dini's assistant until 1913. He then went to the Turin Polytechnic as assistant to Guido Fubini . During the First World War he served as an artilleryman at the front near Trieste and as a ballistic engineer and in 1917 became captain of the artillery. In 1919 he was assistant professor (Professore Incaricato) at the University of Catania , in 1921 at the University of Cagliari and then went to Catania and Pisa in 1925 as a professor at the University of Naples , where he founded the Institute of Analysis in 1927, which was particularly devoted to numerical questions. In 1932 he went to the University of Rome , where he stayed until his retirement in 1960. In Rome he was the founder of the Istituto Nazionale per le Applicazioni del Calcolo (INAC). He had many students in Italy, including his PhD students Renato Caccioppoli (his assistant in Naples), Gaetano Fichera , Ennio de Giorgi and Carlo Miranda (his assistant in Naples and Rome).

He dealt with differential equations (where the identity of Picone and the Sturm-Picone theorem are named after him) and the calculus of variations . In Italy he was also a pioneer in numerical analysis with the introduction of calculating machines. Since his work as a ballist in World War I, he was interested in the applications of analysis, which culminated in the founding of the Institute for Applied Analysis in Rome, which was later named after him. During the Second World War, the institute was concerned with military applications.

Picone was a member of the Accademia dei Lincei , the Pontifical Academy of Sciences and the Accademia dei XL (today's Accademia Nazionale delle Scienze ). He was also a member of the Academies of Sciences in Turin, Modena, Catania, Madrid, Palermo, Buenos Aires, the Romanian and Polish Academy of Sciences.

He was married to Maria Jole Agonigi since 1913.

Fonts

  • Teoria introduttiva delle equazioni differenziali ordinarie e calcolo delle variazioni, 1922
  • Lezioni di Analisi infinitesimale 1923
  • Appunti di Analisi superiore, 1940
  • Esercizi di analisi mathmatica, Rome 1943
  • Lezioni di Analisi funzionale, 1946
  • Lezioni di analisi matematica per gli allievi di ingegneria, 2 volumes, Rome 1949
  • Trattato di matematiche generali, ad uso delle persone di media cultura matematica, Rome 1947
  • Lezioni sulla teoria moderna dell'integrazione, 1952 (with contributions by Tullio Viola)
  • with Gaetano Fichera: Trattato di Analisi matematica, 2 volumes, 1954, 1955

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