Topics on the singularity theory: discriminants, unfoldings, classification and aplications

• Grant number: 12/05860-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2012
• End date: February 28, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luciana de Fátima Martins
• Grantee: Alex Paulo Francisco
• 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

The project aims to introduce important topics of the Singularity Theory for the student, namely discrimination study of families of functions, unfolding of the r-real function and some of the theory necessary for the classification of functions of several variables. We intend that the student does applications of the concepts mentioned and solve exercises proposed in the textbook.(AU)