O grau topológico de Brouwer e Aplicações.

In this work, we study the Brouwer topological degree theory. first, we study some results about analysis in rn, which are important tools on the study of the degree. after that, we associate each triple (f,⌦, y), where ⌦ ⇢ rn,y 2 rn and f a continuous function in ⌦, to a integer number d(f,⌦, y). this function, known as degree, through its properties and consequences, allows us to find meaningful answers about the existence, uniqueness or multiplicity of solutions for the equation f(x) = y. after that, we construct such a function and study some applications of the theory developed. among them, the Brouwer fixed point theorem.

Grantor

Matemática

Year dc:date.issued

2013

Author dc:creator

• Melo Júnior, José Carlos de Albuquerque.

• Ensino e aprendizagem da matemática
• Análise vetorial
• Grau topológico de Brouwer
• Teaching and learning mathematics
• Vector analysis
• Brouwer topological grade

Language dc:language.iso

pt

Repository record dc:identifier.uri

https://repositorio.ufpb.br/jspui/handle/123456789/367

OAI identifier oai:identifier

oai:repositorio.ufpb.br:123456789/367