Evolução das ideias sobre números imaginários

• Ano de defesa: 2015
• Autor(a) principal: Oliveira, Leandro Sales Almeida de
• 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: Números imaginários; Complexos; Quatérnios; Octônios; Sedênios; Numbers imaginary; Complex; Quaternions; Octonions; Sedenions; MATEMATICA::MATEMATICA APLICADA
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/tede/9340

In this paper it will be studied the imaginary numbers and how their evolution over time occurred. Such evolution has occurred at a slow pace until it reached at what is known today as the imaginary number i. However, the creation of the complex was not the end of the study of imaginary numbers. These studies have introduced even more comprehensive concepts creating sets as quaternions, extension of four dimensions of the complex. It will be concluded, with the extensions of eight and sixteen dimensions of the complex numbers, known as octonions and sedenions, respectively. Additionally, it will be submitted some applications of these extensions, also known as hypercomplex numbers.