Omar Catunda
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Omar Catunda ( Santos, September 23, 1906 -
Salvador Salvador, meaning "salvation" (or "saviour") in Catalan, Spanish, and Portuguese may refer to: * Salvador (name) Arts, entertainment, and media Music *Salvador (band), a Christian band that plays both English and Spanish music ** ''Salvador'' ( ...
, August 12, 1986) was a Brazilian mathematician, teacher and educator. He was one of the great mathematicians of the 20th century in Brazil and helped consolidate mathematics research and teaching.


Biography

Catunda was born in 1906, in Santos, and was the tenth child of Thomaz Catunda and Maria Lima Verde Catunda, from Ceará. His father was a doctor and his mother was well educated, particularly interested in classical and romantic French literature. His paternal great-grandfather, Joaquim Catunda, was a Republican senator and a professor of German in
Fortaleza Fortaleza ( ; ; ) is the state capital of Ceará, located in Northeast Region, Brazil, Northeastern Brazil. It is Brazil's 4th largest city—Fortaleza surpassed Salvador, Bahia, Salvador in 2022 census with a population of slightly over 2.4 mi ...
. Catunda studied at the Grupo Escolar Cesário Bastos, at the Liceu Comercial, where he excelled in Portuguese and Mathematics, and at the Escola de Comércio José Bonifácio. In 1922, he went to
Rio de Janeiro Rio de Janeiro, or simply Rio, is the capital of the Rio de Janeiro (state), state of Rio de Janeiro. It is the List of cities in Brazil by population, second-most-populous city in Brazil (after São Paulo) and the Largest cities in the America ...
, where he prepared for the exams at
Colégio Pedro II ''Colégio Pedro II'' (Pedro II School) is a federal public school located in the state of Rio de Janeiro. Named after Pedro II of Brazil, it was established on 2 December 1837, and made official by Imperial decree on 20 December of the same ...
by studying eleven hours a day, with the exception of Latin. Of the subjects studied, he enjoyed studying geometry the most, taking Comberrousse's ''Geometria Elementar'' as his textbook. In 1925, he came first in the entrance exam for the
Polytechnic School of the University of São Paulo The Escola Politécnica of the University of São Paulo (or the Engineering School of the University of São Paulo, Portuguese: Escola Politécnica da Universidade de São Paulo) (usually called Poli, Poli-USP or EPUSP) is an engineering school a ...
, where he mastered spatial geometry. In the subject Complements of Mathematics, he had his first contact with Integral Differential Calculus and met Professor Theodoro Augusto Ramos, who later guided his higher studies in mathematics. He won the Cesário Motta Prize, a gold medal awarded to the best student in the first year of the course.


Career

In 1930, Catunda graduated as an engineer; in 1933, he applied for the position of professor of Complementary Analytical Geometry, Nomography and Differential and Integral Calculus at USP's Polytechnic School, but was unsuccessful. In 1938, he worked as an engineer for Santos City Hall, but was hired by USP's Faculty of Philosophy, Sciences and Letters as an assistant to the Italian
Luigi Fantappiè Luigi Fantappiè (15 September 1901 – 28 July 1956) was an Italian mathematician, known for work in mathematical analysis and for creating the theory of analytic functionals: he was a student and follower of Vito Volterra. Later in life, he p ...
in the subject of Mathematical Analysis. From 1934 onwards, Catunda collaborated intensively with Fantappiè to establish the Mathematics Subsection of USP's Faculty of Philosophy, Sciences and Letters (the future Institute of Mathematics and Statistics). Under Fantappié's guidance, he began studying the Theory of Analytic Functionals and, between 1938 and 1939, he undertook postgraduate studies on the subject at the University of Rome. The result of this trip was a paper entitled "''Un teorema sugl'insiemi che si reconnette alla teoria dei funzionali analitici"''. After returning to Brazil, he was appointed interim professor of Mathematical and Higher Analysis, replacing Fantappiè, who had returned to Italy in 1939. Catunda became a professor of Mathematical Analysis after defending his thesis "''Sobre os fundamentos da teoria dos funcionais analíticos"''. He was appointed head of the Mathematics Subsection at USP's Faculty of Philosophy, Sciences and Letters, a position he held for many years. In 1942, he presented a paper entitled "''Sobre os sistemas de equações de variações totais, em mais de um funcional incógnito"''. At the same time, Catunda expanded his studies and began to learn about
topology Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...
using
Pavel Alexandrov Pavel Sergeyevich Alexandrov (), sometimes romanized ''Paul Alexandroff'' (7 May 1896 – 16 November 1982), was a Soviet mathematician. He wrote roughly three hundred papers, making important contributions to set theory and topology. In topol ...
's text and algebra using
Van der Waerden Bartel Leendert van der Waerden (; 2 February 1903 – 12 January 1996) was a Dutch mathematician and historian of mathematics. Biography Education and early career Van der Waerden learned advanced mathematics at the University of Amster ...
's text. Reflections of this appear in his thesis "''Sobre os fundamentos da teoria dos funcionais analíticos"'', presented in 1944 for the Mathematical Analysis chair at the Faculty of Philosophy, Sciences and Letters. In 1946, he obtained a scholarship from the
Rockefeller Foundation The Rockefeller Foundation is an American private foundation and philanthropic medical research and arts funding organization based at 420 Fifth Avenue, New York City. The foundation was created by Standard Oil magnate John D. Rockefeller (" ...
and went to
Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
, where he took courses with
Emil Artin Emil Artin (; March 3, 1898 – December 20, 1962) was an Austrians, Austrian mathematician of Armenians, Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number t ...
, N. Cramer,
Heinz Hopf Heinz Hopf (19 November 1894 – 3 June 1971) was a German mathematician who worked on the fields of dynamical systems, topology and geometry. Early life and education Hopf was born in Gräbschen, German Empire (now , part of Wrocław, Poland) ...
,
Hermann Weyl Hermann Klaus Hugo Weyl (; ; 9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist, logician and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, ...
and
John von Neumann John von Neumann ( ; ; December 28, 1903 – February 8, 1957) was a Hungarian and American mathematician, physicist, computer scientist and engineer. Von Neumann had perhaps the widest coverage of any mathematician of his time, in ...
.


Return to Brazil

In 1947, after finishing his studies at Princeton, Catunda returned to São Paulo, where he became involved in the campaign to defend Brazilian oil and became president of the Center for the Study and Defense of Oil. He was also a candidate for state representative, supported by the Communists, but his candidacy was contested by the electoral courts because he had not joined the
Brazilian Communist Party The Brazilian Communist Party (), originally the Communist Party of Brazil (), is a communist party in Brazil, founded on 25 March 1922. Arguably the oldest active political party in Brazil, it played an important role in the country's 20th- ...
. He criticized the Vargas administration for neglecting the education of the Brazilian people. According to Catunda, the government had decided to "democratize high school education, without realizing, or pretending not to realize, that there was no human material to carry out this democratization with the necessary severity". He also advocated increased investment in higher education courses, in order to train good teachers and improve high school education. At the beginning of the 1960s, he was invited by the rector Edgard Santos to become director of the Institute of Mathematics and Physics at the
Federal University of Bahia The Federal University of Bahia (, UFBA) is a public university located mainly in the city of Salvador. It is the largest university in the state of Bahia. Students can study there without paying tuition fees, as it is a public university. To j ...
. After retiring as a professor at USP, he moved to Salvador, where he took office in September 1963, replacing Rubens Lintz. He worked as a professor and director of the Institute until 1969. After the 1968 university reform, he became a full professor and coordinator of the Master's program at the Institute of Mathematics and Statistics of the Federal University of Bahia, until his compulsory retirement in 1976. Omar Catunda was one of the main representatives and promoters of the mathematical school established at the University of São Paulo by Fantappiè. He died on August 12, 1986, in Salvador, at the age of 79.


Relevance

He made an important contribution to the modernization of the teaching of calculus and mathematical analysis at USP, UFBA and other universities through his book ''Curso de Análise Matemática'', as there were practically no calculus or analysis textbooks in Portuguese at the time. His concern to update the many subsequent editions of the book has ensured that it is still used today. Catunda was a professor to renowned physicists such as
Mário Schenberg Mário Schenberg (born Mayer Schönberg ar. ''Mário Schönberg'', ''Mario Schonberg'', ''Mário Schoenberg'' 2 July 1914 – 10 November 1990) was a Brazilian electrical engineer, physicist, art critic and writer. Early life Schenberg was ...
, Marcelo Damy, Abrahão de Moraes, Jean Meyer and Roberto Salmeron, and mathematicians such as Carlos Benjamin de Lyra, Luiz Henrique Jacy Monteiro and Alexandre Augusto Martins Rodrigues.


Main published works

Although he didn't publish many works, Catunda's material remains used to this day as a source of research on Fantappiè's theory of analytic functionals carried out in Brazil and published in specialized international journals. * ''Un teorema sugl'insiemi che si reconnette alla teoria dei funzionali analitici'' (1939)'';'' * ''Sui Sistemi di Equazioni alle Variazioni Totali in Più Funzionali Incogniti'' (1941)''.''


Didactic works

* ''Ensino Atualizado da Matemática 2° Ciclo'' (1971)'';'' * ''Curso de Análise Matemática I'' (1954).


See also

* Cândido Lima da Silva Dias


References

{{Portal bar, Brazil, Biography Brazilian educators Brazilian mathematicians 1906 births 1986 deaths University of São Paulo University of São Paulo alumni