Introdução à teoria da medida e integração

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Lucas_Hideo_Maekawa_Monografia.pdf (486.85 KB)

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2022-11-27

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Universidade Federal de São Carlos

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Abstract

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 presents an introductory study in σ-algebras, measures, exterior measures, the Lebesgue measure, and integrals.

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Teoria da medida , Integral , Medida , Medida de Lebesgue , Measure theory , Measure , Lebesgue measure

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MAEKAWA, Lucas Hideo. Introdução à teoria da medida e integração. 2022. Trabalho de Conclusão de Curso (Graduação em Matemática) – Universidade Federal de São Carlos, São Carlos, 2022. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/16998.

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https://repositorio.ufscar.br/handle/20.500.14289/16998

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Attribution-NonCommercial-NoDerivs 3.0 Brazil
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Brazil