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Mauro Picone (2 May 1885 – 11 April 1977) was an Italian
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
. He is known for the
Picone identity 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. Since its inception in 1910 it has been used with tremendous success ...
, 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 Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathemat ...
institute ever founded.See , , and the references cited in this latter one. He was also an outstanding teacher of
mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (m ...
: some of the best Italian mathematicians were among his pupils.


Work


Research activity


Teaching activity

Notable students: * Luigi Amerio * Renato Caccioppoli * Gianfranco Cimmino * Ennio de Giorgi * Gaetano Fichera * Carlo Miranda


Selected publications

* (Review of the whole volume I) (available from the "
Edizione Nazionale Mathematica Italiana
'"), reviewed by . *, (Review of the 2nd part of volume I) (available from the "
Edizione Nazionale Mathematica Italiana
'"). *, reviewed by and by .


See also

* Renato Caccioppoli * Lamberto Cesari * Ennio de Giorgi * Gaetano Fichera *
Picone identity 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. Since its inception in 1910 it has been used with tremendous success ...
*
Antonio Signorini Antonio Signorini may refer to: * Antonio Signorini (physicist) Antonio Signorini (2 April 1888 – 23 February 1963) was an influential Italian mathematical physicist and civil engineer of the 20th century.Sturm-Picone comparison theorem


Notes


References


Biographical references

*. 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. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
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. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by Pietro Buzano on behalf of the
Polytechnic University of Turin The Polytechnic University of Turin ( it, Politecnico di Torino) is the oldest Italian public technical university. The university offers several courses in the fields of Engineering, Architecture, Urban Planning and Industrial Design, and is co ...
: it includes also a short but precise description of the academic career of Picone. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by Carlo Ciliberto on behalf of the
University of Naples Federico II The University of Naples Federico II ( it, Università degli Studi di Napoli Federico II) is a public university in Naples, Italy. Founded in 1224, it is the oldest public non-sectarian university in the world, and is now organized into 26 depar ...
and of the Società Nazionale di Scienze, Lettere ed Arti di Napoli, describing briefly but comprehensively his activity in
Napoli Naples (; it, Napoli ; nap, Napule ), from grc, Νεάπολις, Neápolis, lit=new city. is the regional capital of Campania and the third-largest city of Italy, after Rome and Milan, with a population of 909,048 within the city's adminis ...
as a professor and the events leading to the founding of the Istituto Nazionale per le Applicazioni del Calcolo. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by Gianfranco Cimmino on behalf of the Accademia delle Scienze dell'Istituto di Bologna. *. 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. *. The commemoration of Mauro Picone by Gaetano Fichera, one of his "allievi". *. 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 The Accademia dei Lincei (; literally the "Academy of the Lynx-Eyed", but anglicised as the Lincean Academy) is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini on the Via della Lungara in Rom ...
on the days between 6 and 9 May 1985. *. "''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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
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''. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by Antonio Hélio Guerra Vieira on behalf of the
University of São Paulo The University of São Paulo ( pt, Universidade de São Paulo, USP) is a public university in the Brazilian state of São Paulo. It is the largest Brazilian public university and the country's most prestigious educational institution, the best ...
, including the posthumous award of the Laurea honoris causa to Picone. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by András Kósa on behalf of the
University of Budapest A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase ''universitas magistrorum et scholarium'', which ...
. *. The personal recollections of András Kósa on Gaetano Fichera and Mauro Picone. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by Mario Marino on behalf of the
University of Catania The University of Catania ( it, Università degli Studi di Catania) is a university located in Catania, Sicily. Founded in 1434, it is the oldest university in Sicily, the 13th oldest in Italy, and the 29th oldest university in the world. With a ...
, describing his teaching and research activity in Catania. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by Benedetto Pettineo as the president of the Circolo Matematico di Palermo. *. 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. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by Antonio Rubeti on behalf of the
Sapienza University of Rome The Sapienza University of Rome ( it, Sapienza – Università di Roma), also called simply Sapienza or the University of Rome, and formally the Università degli Studi di Roma "La Sapienza", is a public research university located in Rome, Ita ...
. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by Giovanni Schippa on behalf of the
Università degli Studi dell'Aquila The University of L'Aquila ( it, Università degli Studi dell'Aquila) is a public research university located in L'Aquila, central Italy. It was founded in 1964 (its history begins in 1596) and is organized in nine departments. The university pres ...
. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985) by Radu Voinea as the president of the Romanian Academy of Sciences. * Mauro Picone at th
Italian Wikipedia


Scientific references

*. *, previously published as . *. Fichera's "''last lesson''" of the course of higher analysis, given on the occasion of his retirement from university teaching in 1992. *. *. 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 , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
on May 6–9, 1985, at the Accademia Nazionale dei Lincei. *.


External links

*. The entry about Mauro Picone at th
Edizione Nazionale Matematica Italiana
*
Istituto per le Applicazioni del Calcolo "Mauro Picone"
the institute he founded in 1922. {{DEFAULTSORT:Picone, Mauro 1885 births 1977 deaths 20th-century Italian mathematicians Mathematical analysts PDE theorists Mathematicians from Sicily Members of the Lincean Academy Academic staff of the University of Catania Academic staff of the University of Cagliari Academic staff of the University of Naples Federico II