A modern approach to integration

• Grant number: 16/19636-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2017
• End date: December 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Márcia Cristina Anderson Braz Federson
• Grantee: Matias de Jong van Lier
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project´s objective is to initiate the candidate in the process of active scientific research in the field of non-absolute integrals through the study and analysis of the fundamental theory of Generalized Riemann Integral, also known as the Kurzweil-Henstock integral. Some of the expected complementary activities for the candidate are: - participation in seminars and conferences with the supervisor, - reading of specialized books and articles, - interaction of the candidate with researchers, graduate and undergraduate students in the Functional Diferential Equations research Group of ICMC-Usp. - learning how to use LaTeX for the writing of reports. (AU)