Roberto Conti (mathematician)
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Roberto Conti (23 April 1923 – 30 August 2006) was an
Italian Italian(s) may refer to: * Anything of, from, or related to the people of Italy over the centuries ** Italians, a Romance ethnic group related to or simply a citizen of the Italian Republic or Italian Kingdom ** Italian language, a Romance languag ...
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 ...
, who contributed to the theory of
ordinary differential equation In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable (mathematics), variable. As with any other DE, its unknown(s) consists of one (or more) Function (mathematic ...
sSee . and the development of the comparison method.See .


Biography

Roberto Conti was born in
Florence Florence ( ; ) is the capital city of the Italy, Italian region of Tuscany. It is also the most populated city in Tuscany, with 362,353 inhabitants, and 989,460 in Metropolitan City of Florence, its metropolitan province as of 2025. Florence ...
on 29 April 1923. He obtained his M.Sc. and Ph.D. in
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
from the
Scuola Normale Superiore di Pisa The Scuola Normale Superiore (commonly known in Italy as "la Normale") is a public university in Pisa and Florence, Tuscany, Italy, currently attended by about 600 undergraduate and postgraduate (PhD) students. Together with the University of Pi ...
, under the supervision, respectively, of
Leonida Tonelli Leonida Tonelli (19 April 1885 – 12 March 1946) was an Italian people, Italian mathematician, noted for proving Fubini's theorem#Tonelli's theorem for non-negative measurable functions, Tonelli's theorem, a variation of Fubini's theorem, and f ...
(replaced, after his premature death, by Emilio Baiada) and
Giovanni Sansone Giovanni Sansone (24 May 1888 – 13 October 1979) was an Italian mathematician, known for his works on mathematical analysis, on the theory of orthogonal functions and on the theory of ordinary differential equations. He was an Invited Speake ...
. Conti’s M.Sc. and Ph.D. dissertations dealt with translation surfaces (possibly a topic suggested by Tonelli after knowing about some Russian works) and particular aspects of the
Cauchy problem A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions that are given on a hypersurface in the domain. A Cauchy problem can be an initial value problem or a boundary value problem ...
. Later he held the position of research assistant to the chair of Sansone at the
University of Florence The University of Florence ( Italian: ''Università degli Studi di Firenze'') (in acronym UNIFI) is an Italian public research university located in Florence, Italy. It comprises 12 schools and has around 50,000 students enrolled. History The f ...
. Their collaboration was fruitful and resulted in numerous articles, as well as the book (Sansone & Conti 1964), originally published in
Italian Italian(s) may refer to: * Anything of, from, or related to the people of Italy over the centuries ** Italians, a Romance ethnic group related to or simply a citizen of the Italian Republic or Italian Kingdom ** Italian language, a Romance languag ...
, which was translated into a number of languages and became one of the standard texts on the subject in the 1960s. In 1956 Conti became full professor at the
University of Catania The University of 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 in the world. With over 38,000 enrolled students, it is the largest uni ...
, holding the chair of mathematical analysis until 1958, when he returned to
Florence Florence ( ; ) is the capital city of the Italy, Italian region of Tuscany. It is also the most populated city in Tuscany, with 362,353 inhabitants, and 989,460 in Metropolitan City of Florence, its metropolitan province as of 2025. Florence ...
.. In 1963-1964 he held a visiting professorship at the
Research Institute for Advanced Studies The Baltimore-based Research Institute for Advanced Studies (RIAS), not to be confused with the better-known Institute for Advanced Study in Princeton, New Jersey, was among the several centers for research in the mathematical and physical sciences ...
(RIAS) in Baltimore, Maryland. His research focused on several topics, which often overlapped in the time and contributed to motivate each other. A leading theme was constituted by
functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, Inner product space#Definition, inner product, Norm (mathematics ...
and its applications to the theory of
ordinary differential equations In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives ...
,
dynamical systems In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space, such as in a parametric curve. Examples include the mathematical models ...
and
control systems A control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops. It can range from a single home heating controller using a thermostat controlling a domestic boiler to large industrial co ...
. An impulse to do research on control systems was most probably given by his discussions with the Russian engineer and mathematician
Nicolas Minorsky Nicolas Minorsky (born Nikolai Fyodorovich Minorsky, ; – 31 July 1970) was a Russian American control theory mathematician, engineer. and applied scientist. He is best known for his theoretical analysis and first proposed application of PID c ...
, who first proposed application of control theory to the automatic steering of ships. Minorsky, after the
Russian Revolution The Russian Revolution was a period of Political revolution (Trotskyism), political and social revolution, social change in Russian Empire, Russia, starting in 1917. This period saw Russia Dissolution of the Russian Empire, abolish its mona ...
, moved to U.S. and later to southern France: during that period he came frequently to Florence, to give seminars and exchange mathematical ideas with Sansone and Conti. On another hand, Conti’s contributions to the development of the comparison method for the qualitative analysis of differential equations were particularly prominent. He was a corresponding member of the
Accademia dei Lincei The (; literally the "Academy of the Lynx-Eyed"), 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 Rome, Italy. Founded in ...
since 1983 and a full member since 1994,According to the Lincean yearbook (2012, p. 439), he was elected "''membro corrispondente''" on July 30, 1983, and "''membro nazionale''" on November 30, 1994. a foreign honorary member of the
Romanian Academy The Romanian Academy ( ) is a cultural forum founded in Bucharest, Romania, in 1866. It covers the scientific, artistic and literary domains. The academy has 181 active members who are elected for life. According to its bylaws, the academy's ma ...
since 1997MEMBRII ACADEMIEI ROMÂNE, Membrii AR din străinătate
and was also a member of the editorial board of the
Journal of Differential Equations A journal, from the Old French ''journal'' (meaning "daily"), may refer to: *Bullet journal, a method of personal organization *Diary, a record of personal secretive thoughts and as open book to personal therapy or used to feel connected to onesel ...
since its inception in 1964 until his death in 2006.


Selected works


Books and book chapters

*, translated in English as *. *, translated in English as . * *. *.


Articles

*. *. *. *. * *. * *. *. *. *. *.


Notes


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. *. *. *. *.


External links

* {{DEFAULTSORT:Conti, Roberto 1923 births 2006 deaths 20th-century Italian mathematicians Academic staff of the University of Catania Academic staff of the University of Florence Scientists from Florence Members of the Lincean Academy Honorary members of the Romanian Academy