The Euler-Maclaurin formula and few applications in Pure and Applied Mathematics

• Grant number: 17/07766-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2017
• End date: August 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: André Pierro de Camargo
• Grantee: Carlo Domenico Longo de Lemos
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

In this undergraduate project we will study the Euler-Maclaurin and few of its applications in Pure and Applied Mathematics. The main goal of the project is to improve the student skills in Calculus/Real analysis and also to provide him a panoramic view of few research areas in Mathematics, like the Analytic number theory and Numerical Stability of computational algorithms. (AU)