As Funções Hiperbólicas e suas Aplicações

• Ano de defesa: 2015
• Autor(a) principal: Freitas, Maria do Bom Conselho da Silva Beserra
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal da Paraíba; Brasil; Matemática; Mestrado Profissional em Matemática; UFPB
• Palavras-chave em Português: Funções hiperbólicas; Hyperbolic functions; Ângulos hiperbólicos; Catenária; Hyperbolic angles; Catenary; MATEMATICA::MATEMATICA APLICADA
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/tede/7640

In this work we present a study about the Hyperbolic functions and their applications. We start with analysis of how these functions are approached in some di erential calculus books commonly used in graduate courses in exact sciences, noting that are made through its exponential setting. Then we exposed an approach using hyperbole as generating curve from the study of hyperbolic angles. The de nitions given it in parallel with the construction of the circular trigonometric functions, analyzing their similarities and di erences. Finally we present some of its applications, in particular and in more detail the catenary shape.