Mauro Picone
Encyclopedia
Mauro Picone was an Italian
Italy
Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

. He is known for the Picone identity
Picone identity
In mathematics, in the field of ordinary differential equations, the Picone identity, named after Mauro Picone, is a classical result about homogeneous linear second order differential equations...

, for the Sturm-Picone comparison theorem
Sturm-Picone comparison theorem
In mathematics, in the field of ordinary differential equations, the Sturm–Picone comparison theorem, named after Jacques Charles François Sturm and Mauro Picone, is a classical theorem which provides criteria for the oscillation and non-oscillation of solutions of certain linear differential...

 and for being the founder of the Istituto Nazionale per le Applicazioni del Calcolo, presently named after him. He was also an outstandig teacher of mathematical analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...

: some of the best Italian mathematicians were among his pupils.

See also

  • Renato Caccioppoli
    Renato Caccioppoli
    Renato Caccioppoli was an Italian mathematician.- Biography :Born in Naples, Campania, he was the son of Giuseppe Caccioppoli , a surgeon, and his second wife Sofia Bakunin , daughter of the Russian revolutionary Mikhail Bakunin. After earning his diploma in 1921, he enrolled in the department of...

  • Lamberto Cesari
    Lamberto Cesari
    Lamberto Cesari was an Italian mathematician naturalized in the United States.- Biography :...

  • Ennio de Giorgi
    Ennio de Giorgi
    -References:. The first paper about SBV functions and related variational problems.. The first note published by De Giorgi describing his approach to Caccioppoli sets.. The first complete exposition by De Giorgi of the theory of Caccioppoli sets.. An advanced text, oriented to the theory of minimal...

  • Gaetano Fichera
    Gaetano Fichera
    Gaetano Fichera was an Italian mathematician, working in mathematical analysis, linear elasticity, partial differential equations and several complex variables...

  • Picone identity
    Picone identity
    In mathematics, in the field of ordinary differential equations, the Picone identity, named after Mauro Picone, is a classical result about homogeneous linear second order differential equations...

  • Antonio Signorini
    Antonio Signorini
    - Research activity :His scientific production const of more than 114 works, being papers, monographs and textbooks, 17 of which have been collected in his "Opere Scelte".- Teaching activity :...

  • Sturm-Picone comparison theorem
    Sturm-Picone comparison theorem
    In mathematics, in the field of ordinary differential equations, the Sturm–Picone comparison theorem, named after Jacques Charles François Sturm and Mauro Picone, is a classical theorem which provides criteria for the oscillation and non-oscillation of solutions of certain linear differential...


External links

. The entry about Mauro Picone at the Edizione Nazionale Matematica Italiana.
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