On an encounter of two men of mathematics in Lima
DOI:
10.47976/RBHM2020v20n4001-07Palabras clave:
Mathematics, History, Differential Equations, Dynamical Systems, Peixoto, TolaResumen
This evocative essay focuses on the encounter of two eminent Men of Mathematics: José Tola Pasquel, Peruvian, and Maurício Matos Peixoto, Brazilian, in November of 1961 in Lima. It glimpses into the local meaning and later mathematical consequences of such apparently random event. Here are discussed its implications for the participation of the author in the starting steps of the Qualitative Theory of Differential Equations, earlier name for Dynamical Systems, as a research activity in Brazil.
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APOSTOL, T. M. Análisis Matemático. Reverté, Segunda Ed., Barcelona, 1976. CIESIELSKA, D. and MALIGRANDA, L. Alfred Rosenblatt (1880–1947). Polish-Peruvian Mathematician, Function Spaces XII, Banach Center Publications, Volume 119, 57–108, Institute of Mathematics, Polish Academy of Science, Warsaw, 2019.
CODDINGTON, E. and LEVINSON, N. Theory of ordinary differential equations. New York, McGraw Hill, 1955.
HUREWICZ, W. Lectures on ordinary differential equations. New York, J. Wiley and Sons, 1958.
PEIXOTO, M. M. Structural Stability on two-dimensional manifolds, Topology, 1, pp. 101–120, 1962.
PEREIRA da Silva, C. Leopoldo Nachbin, um excelente matemático Brasileiro do século XX, Revista Brasileira de História da Matemática, Vol. 17, n. 34, pp. 73–81, 2017. PONTRYAGIN, L. S. Foundations of Combinatorial Topology, Dover Books on Mathematics, Paperback, April 22, 2015.
SEIFERT, H. and THRELFALL, W. Lecciones de Topología, Colección de Textos de Matemática Moderna I, Instituto Jorge Juan de Matemáticas, Madrid, 1951.
SOTOMAYOR J. A Caderneta de Geometria, Revista do Professor de Matemática, vol. 21, pp.1–5, 1992. Reprinted in Revista da Olimpíada–IME–UFG, n. 3, pp. 100–104, 2002. An English translation can be found in: <https://www.researchgate.net/publication/327345 344_My_Geometry_Notebook>.
SOTOMAYOR J. A few words on Maurício M. Peixoto on his 80th birthday, Comput. Appl. Math., 20, 1, pp. 3–9, 2001.
SOTOMAYOR J. Mathematical encounters Notices of the International Congress of Chinese Mathematicians, Vol. 6, n. 2, pp. 94–98, 2018.
SOTOMAYOR J. On Maurício Matos Peixoto and his Mathematical Work, Lecture at the 10th Workshop on Dynamical Systems, São Carlos, July 2019. Available in: <https://www.researchgate.net/publication/335128763>.
SOTOMAYOR J. On a list of ordinary differential equations problems, São Paulo Journal of Mathematical Sciences, DOI: 10.1007/s40863018–0110-3, 13(1), pp. 177–194, 2019–2.
SOTOMAYOR J., GARCIA, R. and MELLO, L. Sobre Maurício Matos Peixoto (1921–2019), Revista Matemática Universitária, Vol 1, pp. 1–22, 2020–1.
SOTOMAYOR J. On M. M. Peixoto and the arrival of Structural Stability to Rio de Janeiro, 1955. An. Acad. Bras. Cien. (2920), 2 92(1): e20191219, DOI 10.1590/0001− 376520−3765201920191219, 2020–2.
SOTOMAYOR J. Reminiscences of a Mathematical Sojourn at San Marcos, 1959–62 and at IMPA, 1962. Nexus Mathematicae, ISSN 2529-9824 e20007, 2020–3. In press. See also: https://www.researchgate.net/publication/327667534>.
WAERDEN, van der B. Modern Algebra, Frederick Ungar Publishing Co., New York, N. Y., 1949.
WILLMORE, T. J. Differential Geometry, Oxford Univ. Press, Glasgow, New York, 1959.
APOSTOL, T. M. Análisis Matemático. Reverté, Segunda Ed., Barcelona, 1976. CIESIELSKA, D. and MALIGRANDA, L. Alfred Rosenblatt (1880–1947). Polish-Peruvian Mathematician, Function Spaces XII, Banach Center Publications, Volume 119, 57–108, Institute of Mathematics, Polish Academy of Science, Warsaw, 2019.
CODDINGTON, E. and LEVINSON, N. Theory of ordinary differential equations. New York, McGraw Hill, 1955.
HUREWICZ, W. Lectures on ordinary differential equations. New York, J. Wiley and Sons, 1958.
PEIXOTO, M. M. Structural Stability on two-dimensional manifolds, Topology, 1, pp. 101–120, 1962.
PEREIRA da Silva, C. Leopoldo Nachbin, um excelente matemático Brasileiro do século XX, Revista Brasileira de História da Matemática, Vol. 17, n. 34, pp. 73–81, 2017. PONTRYAGIN, L. S. Foundations of Combinatorial Topology, Dover Books on Mathematics, Paperback, April 22, 2015.
SEIFERT, H. and THRELFALL, W. Lecciones de Topología, Colección de Textos de Matemática Moderna I, Instituto Jorge Juan de Matemáticas, Madrid, 1951.
SOTOMAYOR J. A Caderneta de Geometria, Revista do Professor de Matemática, vol. 21, pp.1–5, 1992. Reprinted in Revista da Olimpíada–IME–UFG, n. 3, pp. 100–104, 2002. An English translation can be found in: <https://www.researchgate.net/publication/327345 344_My_Geometry_Notebook>.
SOTOMAYOR J. A few words on Maurício M. Peixoto on his 80th birthday, Comput. Appl. Math., 20, 1, pp. 3–9, 2001.
SOTOMAYOR J. Mathematical encounters Notices of the International Congress of Chinese Mathematicians, Vol. 6, n. 2, pp. 94–98, 2018.
SOTOMAYOR J. On Maurício Matos Peixoto and his Mathematical Work, Lecture at the 10th Workshop on Dynamical Systems, São Carlos, July 2019. Available in: <https://www.researchgate.net/publication/335128763>.
SOTOMAYOR J. On a list of ordinary differential equations problems, São Paulo Journal of Mathematical Sciences, DOI: 10.1007/s40863018–0110-3, 13(1), pp. 177–194, 2019–2.
SOTOMAYOR J., GARCIA, R. and MELLO, L. Sobre Maurício Matos Peixoto (1921–2019), Revista Matemática Universitária, Vol 1, pp. 1–22, 2020–1.
SOTOMAYOR J. On M. M. Peixoto and the arrival of Structural Stability to Rio de Janeiro, 1955. An. Acad. Bras. Cien. (2920), 2 92(1): e20191219, DOI 10.1590/0001− 376520−3765201920191219, 2020–2.
SOTOMAYOR J. Reminiscences of a Mathematical Sojourn at San Marcos, 1959–62 and at IMPA, 1962. Nexus Mathematicae, ISSN 2529-9824 e20007, 2020–3. In press. See also: https://www.researchgate.net/publication/327667534>.
WAERDEN, van der B. Modern Algebra, Frederick Ungar Publishing Co., New York, N. Y., 1949.
WILLMORE, T. J. Differential Geometry, Oxford Univ. Press, Glasgow, New York, 1959.
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2020-10-22
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SOTOMAYOR, Jorge. On an encounter of two men of mathematics in Lima. Revista Brasilera de História de la Matemática, São Paulo, vol. 20, n.º 40, p. 01–07, 2020. DOI: 10.47976/RBHM2020v20n4001-07. Disponível em: https://rbhm.org.br/index.php/RBHM/article/view/29. Acesso em: 21 nov. 2024.
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