Equações algébricas nos quatérnios de Hamilton
The discovery of quartenions by the mathematician Willian Rowan Hamilton (1805-1865) allowed a new approach regards solving algebraic equations, providing a broad algebraic structure to seek solutions. As a generalization of the classical case (about the complexes), here we present a treatment of th...
| Autor principal: | Freitas, José Roberto |
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| Formato: | Dissertação |
| Idioma: | Português |
| Publicado em: |
Universidade Tecnológica Federal do Paraná
2013
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| Assuntos: | |
| Acesso em linha: |
http://repositorio.utfpr.edu.br/jspui/handle/1/594 |
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| Resumo: |
The discovery of quartenions by the mathematician Willian Rowan Hamilton (1805-1865) allowed a new approach regards solving algebraic equations, providing a broad algebraic structure to seek solutions. As a generalization of the classical case (about the complexes), here we present a treatment of the general algebraic equation with quaternions coefficients. We found that the number of roots can be greater than the degree and often can be infinite. We give emphasis to the case of the quadratic equation, obtaining its solution formulas. We also dealt with obtaining a quaternary root of a quaternion and a real number. |
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