An introduction to the Lebesgue Integral and its applications

• Grant number: 20/02727-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2020
• End date: February 28, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Waldemar Donizete Bastos
• Grantee: Lucas de Souza Lima
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

It is intended to build the measure and integral of Lebesgue in the Euclidean space and make several applications in order to prepare the student to learn advanced topics in Functional Analysis and Partial Differential Equations.