Some practical applications in the study of curves and singularities

• Grant number: 13/07249-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2013
• End date: June 30, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: João Carlos Ferreira Costa
• Grantee: Eduardo dos Santos Teixeira
• 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

Our goal is to study the local theory of curves (in R2 and R3) introducing a relationship between topics of Differential Geometry and Singularity theory. To help us in this task we will use the Mathematica software. Also we will give some practical applications of our study. (AU)