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Geometria Conforme e Invertibilidade Global
(Universidade Federal de São Carlos, 2021-06-25)
This work contains the studies done to the reading of the paper ``Conformas geometry, Euler numbers, and global invertibility in higher dimensions'' de Frederico Xavier [4], as well as a detailed study of the mentioned ...
Introdução à teoria da medida e integração
(Universidade Federal de São Carlos, 2022-11-27)
The Lebesgue measure is an important concept with applications in the Lebesgue integral, in the axiomatization of probabilities, and in the definion of integral of spaces more general than the euclidian spaces. This essay ...
Visitando algumas ferramentas da análise moderna para soluções EDP's
(Universidade Federal de São Carlos, 2024-02-09)
In 1856, Riemann introduced the Dirichlet Principle as an innovative approach to the Dirichlet Problem, proposing a treatment based on a variational problem. Essentially, this principle aimed to minimize an energy functional ...