Marília Chaves Peixoto
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Marília Chaves Peixoto (24 February 1921 – 5 January 1961) was a Brazilian mathematician and engineer who worked in
dynamical system 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 ...
s. Peixoto was the first Brazilian woman to receive a
doctorate A doctorate (from Latin ''doctor'', meaning "teacher") or doctoral degree is a postgraduate academic degree awarded by universities and some other educational institutions, derived from the ancient formalism '' licentia docendi'' ("licence to teach ...
in mathematics and the first Brazilian woman to join the
Brazilian Academy of Sciences Brazilian commonly refers to: * Brazil, a country * Brazilians, its people * Brazilian Portuguese, its dialect Brazilian may also refer to: * "The Brazilian", a 1986 instrumental music piece by Genesis * Brazilian Café, Baghdad, Iraq (1937) * Bra ...
.


Early life and education

Marília Magalhães Chaves was born on 24 February 1921, to Tullio de Saboia Chaves and Zillah da Costa Magalhaes, in Santana do Livramento. She had two siblings, Lúcia de Magalhaes Chaves and Livio de Magalhaes Chaves. In an interview from 1952, she would describe her educational upbringing, stating that despite the high school in Santana do Livramento not accepting girls as students, the priests helped her enroll as a private student and take tests in the school. She later moved 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 ...
, studying at the Colégio Andrews, a secular school that allowed boys and girls to study. She graduated as an outstanding student. She studied superior courses and studied for the entrance exam of the Escola Nacional de Engenharia (National School of Engineering) at the
Federal University of Rio de Janeiro The Federal University of Rio de Janeiro (, UFRJ) is a public university, public research university in Rio de Janeiro, Brazil. It is the largest federal university in the country and is one of the Brazilian centers of excellence in teaching and r ...
. She achieved third place in the entrance exam rankings and was accepted. In 1939 she enrolled at the Escola Nacional de Engenharia, working alongside Leopoldo Nachbin and
Maurício Peixoto Maurício Matos Peixoto, (April 15, 1921 – April 28, 2019), was a Brazilian engineer and mathematician. He pioneered the studies on structural stability, and was the author of Peixoto's theorem. Biography Maurício Peixoto, born in Fortaleza ...
(whom she would later marry).


Career

Peixoto graduated from the
Federal University of Rio de Janeiro The Federal University of Rio de Janeiro (, UFRJ) is a public university, public research university in Rio de Janeiro, Brazil. It is the largest federal university in the country and is one of the Brazilian centers of excellence in teaching and r ...
in 1943 with a degree in engineering, having also studied mathematics at the university and acted as a monitor for the university's National Faculty of Philosophy. In 1948, she received a doctorate in mathematics, and began teaching at the
Escola Politécnica da UFRJ The Polytechnic School of Federal University of Rio de Janeiro (Portuguese: ''Escola Politécnica da Universidade Federal do Rio de Janeiro''), also called "''Poli''", founded in 1792, is the third oldest engineering school in the world and oldest i ...
. In 1949, Peixoto published "On the inequalities y'' \ge G(x,y,y',y'')" in . Following her work on
convex function In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of a function, graph of the function lies above or on the graph between the two points. Equivalently, a function is conve ...
s, Peixoto was appointed an associate member of the Brazilian Academy of Science on 12 June 1951. She was the first Brazilian woman to join the organization, and the second woman after
Marie Curie Maria Salomea Skłodowska-Curie (; ; 7 November 1867 – 4 July 1934), known simply as Marie Curie ( ; ), was a Polish and naturalised-French physicist and chemist who conducted pioneering research on radioactivity. She was List of female ...
, a foreign associate of the academy. Peixoto married
Maurício Peixoto Maurício Matos Peixoto, (April 15, 1921 – April 28, 2019), was a Brazilian engineer and mathematician. He pioneered the studies on structural stability, and was the author of Peixoto's theorem. Biography Maurício Peixoto, born in Fortaleza ...
in 1946. In 1949 they traveled to Chicago for the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...
of 1950. Despite being a participant in her own right, in the list of members she was listed as Maurício's spouse ("Mrs. Peixoto") rather than her full title. In 1955, Peixoto published Cálculo vetorial (Vector calculus), a book aimed at students that is more focus on applications of
vector calculus Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional Euclidean space, \mathbb^3. The term ''vector calculus'' is sometimes used as a ...
than proofs of results. Marília and Maurício jointly published "Structural Stability in the plane with enlarged boundary conditions" in 1959, one of several papers which led to
Peixoto's theorem In the theory of dynamical systems, Peixoto's theorem, proved by Maurício Peixoto, states that among all smooth flows on surfaces, i.e. compact two-dimensional manifolds, structurally stable systems may be characterized by the following properti ...
. She died on 5 January 1961, aged 39. She received a number of posthumous honors, including: * ''Rua Marília Chaves Peixoto'' - A street in her hometown of Santana do Livramento, named after her. * ''Municipal School Marília Chaves Peixoto'' - A school in
Petrópolis Petrópolis (), also known as the Imperial City, is a municipality in the Southeast Region of Brazil. It is located in the state of Rio de Janeiro, northeast of the city of Rio de Janeiro. According to the 2022 Brazilian census, Petrópolis mun ...
her husband helped establish in her name in 1971. It was funded by award money he received for
Peixoto's Theorem In the theory of dynamical systems, Peixoto's theorem, proved by Maurício Peixoto, states that among all smooth flows on surfaces, i.e. compact two-dimensional manifolds, structurally stable systems may be characterized by the following properti ...
.


Personal life

Peixoto had two children, Marta and Ricardo, with Maurício Peixoto.


Published works

* 1949: ''On the inequalities y'' \ge G(x,y,y',y'')''. - Ph.D. thesis. * 1955: ''Cálculo Vetorial: notas de aula''. - book. * 1959: ''Structural stability in the plane with enlarged boundary conditions.'' - paper.


References

{{DEFAULTSORT:Peixoto, Marília Chaves 1921 births 1961 deaths People from Santana do Livramento 20th-century Brazilian mathematicians 20th-century women engineers 20th-century Brazilian engineers Brazilian women mathematicians Federal University of Rio de Janeiro alumni