Mauro Picone

Mauro Picone
Mauro Picone
Born	(1885-05-02)2 May 1885 Lercara Friddi, Sicily, Italy
Died	11 April 1977(1977-04-11) (aged 91) Rome, Italy
Nationality	Italian
Alma mater	Scuola Normale Superiore (1909)
Known for	Picone identity Sturm-Picone comparison theorem
Scientific career
Fields	Calculus of variation numerical analysis ordinary differential equations partial differential equations
Institutions	University of Cagliari University of Catania University of Naples Federico II Università di Roma
Doctoral advisor	Luigi Bianchi
Doctoral students	see the teaching activity section

Mauro Picone (2 May 1885 – 11 April 1977) 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.

Mauro Picone in 1903

Work

Research activity

Attraverso le sue ricerche di analisi matematica, Mauro Picone ha contribuito notevolmente allo sviluppo della matematica del nostro secolo. Egli è stato inoltre un pioniere delle matematiche applicate.

— Radu Voinea, (Voinea 1986, p. 38).

Teaching activity

Notable students:

• Luigi Amerio
• Renato Caccioppoli
• Gianfranco Cimmino
• Ennio De Giorgi
• Gaetano Fichera
• Carlo Miranda

Selected publications

• Picone, Mauro (1923), Lezioni di analisi infinitesimale (PDF), Volume 1 (in Italian), vol. Parte Prima – La Derivazione, Catania: Circolo matematico di Catania, pp. xii+351, JFM 49.0172.07 (Review of the whole volume I) (available from the "Edizione Nazionale Mathematica Italiana"), reviewed by Polvani, P. (December 1924), "MAURO PICONE (Professore d'Analisi superiore all'Università di Pisa) Lezioni di Analisi Infinitesimale", Il Nuovo Cimento (in Italian), 1 (1): 135–136, doi:10.1007/BF02956742, S2CID 117718455.
• Picone, Mauro (1923), Lezioni di analisi infinitesimale (PDF), Volume 1 (in Italian), vol. Parte Seconda – L'Integrazione, Catania: Circolo matematico di Catania, pp. v+352–742, JFM 50.0150.04, (Review of the 2nd part of volume I) (available from the "Edizione Nazionale Mathematica Italiana").
• Picone, Mauro; Viola, Tullio (1952), Lezioni sulla teoria moderna dell'integrazione [Lectures on modern integration theory], Manuali Einaudi. Serie di matematica (in Italian), Torino: Edizioni Scientifiche Einaudi, p. 404, MR 0049983, Zbl 0046.28102, reviewed by Cimmino, Gianfranco (1952), "M. Picone – T. Viola, Lezioni sulla teoria Moderna dell'Integrazione" [Lectures on modern integration theory], Bollettino dell'Unione Matematica Italiana, Serie 3 (in Italian), 7 (4): 452–454 and by Halmos, Paul R. (January 1953), "Review: M. Picone and T. Viola, Lezioni sulla teoria moderna dell'integrazione", Bulletin of the American Mathematical Society, 59 (1): 94, doi:10.1090/S0002-9904-1953-09666-5.

See also

• Renato Caccioppoli
• Lamberto Cesari
• Ennio De Giorgi
• Gaetano Fichera
• Picone identity
• Antonio Signorini
• Sturm-Picone comparison theorem

References

Biographical references

• Accademia Nazionale dei Lincei (2012), Annuario dell'Accademia Nazionale dei Lincei 2012 – CDX dalla Sua Fondazione (PDF) (in Italian), Roma: Accademia Nazionale dei Lincei, p. 734, archived from the original (PDF) on 4 March 2016, retrieved 15 May 2016. The "Yearbook" of the renowned Italian scientific institution, including an historical sketch of its history, the list of all past and present members as well as a wealth of information about its academic and scientific activities.
• Amerio, Luigi (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, p. 9, archived from the original on 23 February 2011, retrieved 19 May 2009. The brief "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Luigi Amerio on behalf of the Accademia Nazionale delle Scienze detta dei XL and of the Istituto Lombardo di Scienze e Lettere.
• Buzano, Pietro (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, p. 11, archived from the original on 23 February 2011, retrieved 19 May 2009. The brief "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Pietro Buzano on behalf of the Polytechnic University of Turin: it includes also a short but precise description of the academic career of Picone.
• Ciliberto, Carlo (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, pp. 12–13, archived from the original on 23 February 2011, retrieved 19 May 2009. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Carlo Ciliberto on behalf of the University of Naples Federico II and of the Società Nazionale di Scienze, Lettere ed Arti di Napoli, describing briefly but comprehensively his activity in Napoli as a professor and the events leading to the founding of the Istituto Nazionale per le Applicazioni del Calcolo.
• Cimmino, Giafranco (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, pp. 14–15, archived from the original on 23 February 2011, retrieved 19 May 2009. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Gianfranco Cimmino on behalf of the Accademia delle Scienze dell'Istituto di Bologna.
• De Angelis, P. L.; Sbordone, C., eds. (1999), "Mauro Picone (1885–1977)", Matematici all'Istituto Universitario Navale (1926 – 1976) [Mathematicians at the Istituto Universitario Navale (1926 – 1976)] (in Italian), Napoli: Istituto Universitario Navale/RCE Edizioni, pp. 7–8. The chapter on Picone in a book collecting brief biographical sketches and bibliographies of the scientific works produced by the mathematicians who taught at the Parthenope University of Naples during their stay.
• Fichera, Gaetano (1978), "Mauro Picone", Atti dell'Accademia delle Scienze dell'Istituto di Bologna, 13 (in Italian), 5: 245–261. The commemoration of Mauro Picone by Gaetano Fichera, one of his "allievi".
• Fichera, Gaetano (1986), "Mauro Picone, un pioniere dell'analisi d'oggi", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (Roma 6–9 May 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, pp. 75–88, archived from the original on 23 February 2011, retrieved 19 May 2009. An English translation of the title reads as:"Mauro Picone, a pioneer of modern analysis". Fichera's historical conference on the work and personality of his master, pronounced during the International congress in occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli, held in Rome at the Accademia Nazionale dei Lincei on the days between 6 and 9 May 1985.
• Ghizzetti, Aldo (1986), "Mauro Picone e l'Istituto Nazionale per le Applicazioni del Calcolo", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, pp. 111–116, archived from the original on 23 February 2011, retrieved 19 May 2009. "Mauro Picone and the Istituto Nazionale per le Applicazioni del Calcolo" is a brief historical survey of Picone's role in the founding of the Istituto Nazionale per le Applicazioni del Calcolo: the Author is one of his pupils, former workers and then director of the institute. It was presented at the International congress in occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985): an English translation of the title of the conference is:-The work of Leonida Tonelli and his influence on scientific thinking in this century.
• Guerra Vieira, Antonio Hélio (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei, vol. 77, Roma: Accademia Nazionale dei Lincei, pp. 12–13, archived from the original on 23 February 2011, retrieved 19 May 2009. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Antonio Hélio Guerra Vieira on behalf of the University of São Paulo, including the posthumous award of the Laurea honoris causa to Picone.
• Kósa, András (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei, vol. 77, Roma: Accademia Nazionale dei Lincei, p. 21, archived from the original on 23 February 2011, retrieved 19 May 2009. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by András Kósa on behalf of the University of Budapest.
• Kósa, András (2006), "Mauro Picone e Gaetano Fichera / Mauro Picone és Gaetano Fichera" (PDF), Italia & Italy (in Hungarian and Italian) (January–April): 36–38 {{citation}}: More than one of |number= and |issue= specified (help). The personal recollections of András Kósa on Gaetano Fichera and Mauro Picone.
• Marino, Mario (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, p. 25, archived from the original on 23 February 2011, retrieved 19 May 2009. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Mario Marino on behalf of the University of Catania, describing his teaching and research activity in Catania.
• Pettineo, Benedetto (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, pp. 27–28, archived from the original on 23 February 2011, retrieved 19 May 2009. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Benedetto Pettineo as the president of the Circolo Matematico di Palermo.
• Ridolfi, Roberto, ed. (1976), "Mauro Picone", Biografie e bibliografie degli Accademici Lincei [Biographies and bibliographies of the Lincean Academicians] (in Italian), Roma: Accademia Nazionale dei Lincei, pp. 491–505. The biographical and bibliographical entry (updated up to 1976) on Mauro Picone, published under the auspices of the Accademia dei Lincei in a book collecting many profiles of its living members up to 1976.
• Ruberti, Antonio (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, p. 31, archived from the original on 23 February 2011, retrieved 19 May 2009. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Antonio Rubeti on behalf of the Sapienza University of Rome.
• Schippa, Giovanni (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, pp. 33–34, archived from the original on 23 February 2011, retrieved 19 May 2009. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Giovanni Schippa on behalf of the Università degli Studi dell'Aquila.
• Voinea, Radu (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, p. 38, archived from the original on 23 February 2011, retrieved 19 May 2009. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Radu Voinea as the president of the Romanian Academy of Sciences.
• Mauro Picone at the Italian Wikipedia

Scientific references

• Benzi, Michele (2005), "Gianfranco Cimmino's Contributions to Numerical Mathematics", in Pini, Bruno (ed.), Atti del Seminario di Analisi Matematica, Dipartimento di Matematica dell'Universita' di Bologna. Volume Speciale: Ciclo di Conferenze in Memoria di Gianfranco Cimmino, Marzo-Aprile 2004, Bologna: Tecnoprint, pp. 87–109.
• Benzi, Michele; Toscano, Elena (May 2014), "Mauro Picone, Sandro Faedo, and the Numerical Solution of Partial Differential Equations in Italy (1928–1953)", Numerical Algorithms, 66 (1): 105–145, CiteSeerX 10.1.1.379.2151, doi:10.1007/s11075-013-9727-6, MR 3197360, S2CID 254884431, Zbl 1291.01022, previously published as Mauro Picone, Sandro Faedo, and the Numerical Solution of Partial Differential Equations in Italy (1928–1953) (PDF), Math/CS Technical Report, vol. TR-2013-003, March 2013, p. 33.
• Fichera, Gaetano (1995), "L'ultima lezione" [The last lesson], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, Memorie di Matematica e Applicazioni (in Italian), 19 (1): 1–24, MR 1387547, archived from the original on 26 July 2011. Fichera's "last lesson" of the course of higher analysis, given on the occasion of his retirement from university teaching in 1992.
• Fichera, Gaetano (1999), "L'analisi matematica in Italia fra le due guerre" [Mathematical analysis in Italy between the two wars], Atti della Accademia Nazionale dei Lincei, Rendiconti Lincei, Matematica e Applicazioni, IX (in Italian), 10 (4): 279–312, MR 1767935, Zbl 1026.01013.
• Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; Cesari, L.; Ciliberto, C.; Cimmino, G.; Cinquini, S.; De Giorgi, E.; Faedo, S.; Fichera, G.; Galligani, I.; Ghizzetti, A.; Graffi, D.; Greco, D.; Grioli, G.; Magenes, E.; Martinelli, E.; Pettineo, B.; Scorza, G.; Vesentini, E., eds. (1986), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei, vol. 77, Roma: Accademia Nazionale dei Lincei, p. 318, archived from the original on 23 February 2011, retrieved 19 May 2009. The proceedings of the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli, held in Rome on May 6–9, 1985, at the Accademia Nazionale dei Lincei.
• Tanzi Cattabianchi, Luigi (1977), "I contributi di Mauro Picone alla balistica razionale" [The contribution of Mauro Picone to rational ballistics] (PDF), Rivista di Matematica della Università di Parma, (4) (in Italian), 3: 357–389, MR 0493457, Zbl 0416.70011.

External links

• Guerraggio, Angelo; Nastasi, Pietro (2008–2010), "Mauro Picone (1885–1977)", Edizione Nazionale Mathematica Italiana (in Italian), Scuola Normale Superiore, retrieved 13 April 2011. The entry about Mauro Picone at the Edizione Nazionale Matematica Italiana.
• O'Connor, John J.; Robertson, Edmund F., "Mauro Picone", MacTutor History of Mathematics Archive, University of St Andrews
• Istituto per le Applicazioni del Calcolo "Mauro Picone": the institute he founded in 1922.