Introduction to the Measure Theory and Integration

• Grant number: 17/08303-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2017
• End date: December 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Gustavo Vicente de Souza
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

In this project, aiming at the improving of mathematical skills of the student, we propose the study of measure and integration theory. Firstly is proposed studying some basic results on Real Analysis in order to feed a necessary background to the well understanding of the measure theory. Further, is proposed in this moment the study of some topics which omitted in the FCT-Unesp matemathical course. In the second moment is proposed the abstract study of the measure and integration theory by using some classical books in this area. (AU)