Istituto per le Applicazioni del Calcolo Mauro Picone

Last updated
Istituto per le Applicazioni del Calcolo "Mauro Picone"
Founder(s) Mauro Picone
Established1927
Formerly called
  • Istituto di Calcolo per l'Analisi Numerica (1927–1932) [1]
  • Istituto Nazionale per le Applicazioni del Calcolo (INAC) (1932–1975) [2]
Address
  • Via dei Taurini 19,
  • 00185 Roma
Location
Italy
Website http://www.iac.rm.cnr.it

The Istituto per le Applicazioni del Calcolo Mauro Picone (English: Institute for Calculus Applications "Mauro Picone"), abbreviated IAC, is an applied mathematics institute, part of the Consiglio Nazionale delle Ricerche. It was founded in 1927 as a private research institute by Mauro Picone, [2] and as such it is considered the first applied and computational mathematics institute of such kind ever founded. [3]

Contents

Historical notes

The IAC was founded 1927 by Mauro Picone, [2] while working at the University of Naples Federico II and at the Istituto Universitario Navale as professor of infinitesimal calculus. [4] Luigi Amoroso also contributed to the founding of the institute, by providing to his former Normale schoolfellow Picone the funding for the creation of the Institute by means of the Banco di Napoli. [5] It was only in 1932, when Picone moved from the University of Naples to the Sapienza University of Rome, that the Institute became part of the Italian National Research Council. [6]

See also

Notes

  1. See (Ghizzetti 1986, p. 111).
  2. 1 2 3 See (Fichera 1995, pp. 10–11), (Fichera 1999, p. 297), (Ghizzetti 1986, p. 111).
  3. ( Fichera 1995 , pp. 10–11), ( Fichera 1999 , p. 297), ( Benzi 2005 , p. 3 of the preprint version) and the references cited in this latter one.
  4. See ( Ghizzetti 1986 , p. 111), ( De Angelis & Sbordone 1999 , p. 7), ( Fichera 1995 , pp. 10–11), ( Fichera 1999 , p. 297), Ghizzetti (1986 , p. 111) states explicitly his professorship, while De Angelis & Sbordone (1999 , p. 7) describes briefly his involvement in teaching at the Istituto Universitario Navale.
  5. See Fichera (1950 , p. 1), Fichera (1986 , p. 81), Fichera (1999 , p. 307) and Benzi (2005 , p. 3 of the preprint version).
  6. See for example ( Ghizzetti 1986 , p. 111), ( De Angelis & Sbordone 1999 , p. 7), Fichera (1986 , p. 81), ( Fichera 1999 , p. 307), ( Benzi 2005 , p. 3 of the preprint version), ( Benzi & Toscano 2014 , p. 114): however many other published biographical and/or research achievements surveys on Mauro Picone cite this fact.

Related Research Articles

<span class="mw-page-title-main">Francesco Severi</span> Italian mathematician (1879–1961)

Francesco Severi was an Italian mathematician. He was the chair of the committee on Fields Medal on 1936, at the first delivery.

<span class="mw-page-title-main">Renato Caccioppoli</span> 20th century Italian mathematician (1904–1959)

Renato Caccioppoli was an Italian mathematician, known for his contributions to mathematical analysis, including the theory of functions of several complex variables, functional analysis, measure theory.

<span class="mw-page-title-main">Guido Stampacchia</span> Italian mathematician (1922–1978)

Guido Stampacchia was an Italian mathematician, known for his work on the theory of variational inequalities, the calculus of variation and the theory of elliptic partial differential equations.

<span class="mw-page-title-main">Leonida Tonelli</span> Italian mathematician

Leonida Tonelli was an Italian mathematician, noted for creating Tonelli's theorem, a variation of Fubini's theorem, and for introducing semicontinuity methods as a common tool for the direct method in the calculus of variations.

<span class="mw-page-title-main">Mauro Picone</span> Italian mathematician

Mauro Picone was an Italian mathematician. He is known for the Picone identity, the Sturm-Picone comparison theorem and being the founder of the Istituto per le Applicazioni del Calcolo, presently named after him, the first applied mathematics institute ever founded. He was also an outstanding teacher of mathematical analysis: some of the best Italian mathematicians were among his pupils.

Lamberto Cesari was an Italian mathematician naturalized in the United States, known for his work on the theory of surface area, the theory of functions of bounded variation, the theory of optimal control and on the stability theory of dynamical systems: in particular, by extending the concept of Tonelli plane variation, he succeeded in introducing the class of functions of bounded variation of several variables in its full generality.

<span class="mw-page-title-main">Luigi Amoroso</span> Italian neoclassical economist

Luigi Amoroso was an Italian neoclassical economist influenced by Vilfredo Pareto. He provided support for and influenced the economic policy during the fascist regime.

<span class="mw-page-title-main">Gaetano Fichera</span> Italian mathematician

Gaetano Fichera was an Italian mathematician, working in mathematical analysis, linear elasticity, partial differential equations and several complex variables. He was born in Acireale, and died in Rome.

<span class="mw-page-title-main">Antonio Signorini (physicist)</span>

Antonio Signorini was an influential Italian mathematical physicist and civil engineer of the 20th century. He is known for his work in finite elasticity, thermoelasticity and for formulating the Signorini problem.

<span class="mw-page-title-main">Enzo Martinelli</span> Italian mathematician (1911–1999)

Enzo Martinelli was an Italian mathematician, working in the theory of functions of several complex variables: he is best known for his work on the theory of integral representations for holomorphic functions of several variables, notably for discovering the Bochner–Martinelli formula in 1938, and for his work in the theory of multi-dimensional residues.

<span class="mw-page-title-main">Giovanni Battista Rizza</span> Italian mathematician (1924–2018)

Giovanni Battista Rizza, officially known as Giambattista Rizza, was an Italian mathematician, working in the fields of complex analysis of several variables and in differential geometry: he is known for his contribution to hypercomplex analysis, notably for extending Cauchy's integral theorem and Cauchy's integral formula to complex functions of a hypercomplex variable, the theory of pluriharmonic functions and for the introduction of the now called Rizza manifolds.

Federico Cafiero was an Italian mathematician known for his contributions in real analysis, measure and integration theory, and in the theory of ordinary differential equations. In particular, generalizing the Vitali convergence theorem, the Fichera convergence theorem and previous results of Vladimir Mikhailovich Dubrovskii, he proved a necessary and sufficient condition for the passage to the limit under the sign of integral: this result is, in some sense, definitive. In the field of ordinary differential equations, he studied existence and uniqueness problems under very general hypotheses for the left member of the given first order equation, developing an important approximation method and proving a fundamental uniqueness theorem.

Dionigi Galletto was an Italian mathematician and academician.

Maria Adelaide Sneider was an Italian mathematician working on numerical and mathematical analysis. She is known for her work on the theory of electrostatic capacities of non-smooth closed hypersurfaces: Apart from the development of precise estimates for the numerical approximation of the electrostatic capacity of the unit cube, this work also led her to give a rigorous proof of Green's identities for large classes of hypersurfaces with singularities, and later to develop an accurate mathematical analysis of the points effect. She is also known for her contributions to the Dirichlet problem for pluriharmonic functions on the unit sphere of

<span class="mw-page-title-main">Alessandro Faedo</span> Italian mathematician and politician

Alessandro Faedo was an Italian mathematician and politician, born in Chiampo. He is known for his work in numerical analysis, leading to the Faedo–Galerkin method: he was one of the pupils of Leonida Tonelli and, after his death, he succeeded him on the chair of mathematical analysis at the University of Pisa, becoming dean of the faculty of sciences and then rector and exerting a strong positive influence on the development of the university.

<span class="mw-page-title-main">Luigi Amerio</span> Italian electrical engineer and mathematician

Luigi Amerio, was an Italian electrical engineer and mathematician. He is known for his work on almost periodic functions, on Laplace transforms in one and several dimensions, and on the theory of elliptic partial differential equations.

<span class="mw-page-title-main">Pia Nalli</span> Italian mathematician

Pia Maria Nalli was an Italian mathematician known for her work on the summability of Fourier series, on Morera's theorem for analytic functions of several variables and for finding the solution to the Fredholm integral equation of the third kind for the first time. Her research interests ranged from algebraic geometry to functional analysis and tensor analysis; she was a speaker at the 1928 International Congress of Mathematicians.

Carlo Miranda was an Italian mathematician, working on mathematical analysis, theory of elliptic partial differential equations and complex analysis: he is known for giving the first proof of the Poincaré–Miranda theorem, for Miranda's theorem in complex analysis, and for writing an influential monograph in the theory of elliptic partial differential equations.

Gianfranco Cimmino was an Italian mathematician, working mathematical analysis, numerical analysis, and theory of elliptic partial differential equations: he is known for being the first mathematician generalizing in a weak sense the notion of boundary value in a boundary value problem, and for doing an influential work in numerical analysis.

In mathematics, and particularly in functional analysis, Fichera's existence principle is an existence and uniqueness theorem for solution of functional equations, proved by Gaetano Fichera in 1954. More precisely, given a general vector space V and two linear maps from it onto two Banach spaces, the principle states necessary and sufficient conditions for a linear transformation between the two dual Banach spaces to be invertible for every vector in V.

References