História da Integral de Lebesgue
Carregando...
Arquivos
Data
2017-06-23
Autores
Gambera, Artur Rezzieri [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Universidade Estadual Paulista (Unesp)
Resumo
Esse trabalho consiste em um relato histórico do surgimento do conceito de integral proposto por Henri Léon Lebesgue (1875-1941). A pesquisa se insere no campo da História da Matemática e é focada na análise e discussão de duas publicações de Lebesgue: o artigo Sur une généralisation de l’intègrale dèfinie publicado em 1901 e sua tese de doutorado Intégrale, Longueur, Aire publicada em 1902. Na primeira publicação Lebesgue apresenta pela primeira vez sua ideia de integral e na segunda discute mais profundamente suas ideias acerca da noção de medida e integração.
This work consists in a historical report of the appearance of the concept of integral proposed by Henri Léon Lebesgue (1875-1941). The research is inserted on the History of Mathematics field and is focused on the analysis and discussions of two publications of Lebesgue: the paper Sur une généralisation de l’intègrale dèfinie published in 1901 and his doctoral thesis Intégrale, Longueur, Aire published in 1902. In the first publication Lebesgue presents for the first time his idea about integrals and in the second discuss more deeply his ideas about the notion of measure theory and integration.
This work consists in a historical report of the appearance of the concept of integral proposed by Henri Léon Lebesgue (1875-1941). The research is inserted on the History of Mathematics field and is focused on the analysis and discussions of two publications of Lebesgue: the paper Sur une généralisation de l’intègrale dèfinie published in 1901 and his doctoral thesis Intégrale, Longueur, Aire published in 1902. In the first publication Lebesgue presents for the first time his idea about integrals and in the second discuss more deeply his ideas about the notion of measure theory and integration.
Descrição
Palavras-chave
História da Matemática, Integral de Lebesgue, Teoria da Medida