Transformação de Möbius
The aim of this work is the study of arbitrary mobius transformations by means of simple complex transformations, namely: the Translation, the Rotation, the Homotetia (Contraction and Dilatation) and Inversion. The results obtained were applied in circles and straight line. At the end, we give the t...
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| Formato: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | Brasil |
| Recursos: | Universidade Federal de Sergipe (UFS) |
| Repositorio: | Repositório Institucional da UFS |
| Idioma: | portugués |
| OAI Identifier: | oai:oai:ri.ufs.br:repo_01:riufs/6499 |
| Acesso em linha: | https://ri.ufs.br/handle/riufs/6499 |
| Access Level: | acceso abierto |
| Palavra-chave: | Matemática Transformações (Matemática) Números complexos Funções de variáveis complexas Matrizes Transformação de Möbius Transformação complexa Matrices Complex numbers Complex processing Möbius transformation CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Resumo: | The aim of this work is the study of arbitrary mobius transformations by means of simple complex transformations, namely: the Translation, the Rotation, the Homotetia (Contraction and Dilatation) and Inversion. The results obtained were applied in circles and straight line. At the end, we give the the alternative of studying mobius transformations via matrices. |
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