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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
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Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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Transformação de MöbiusSantos, Marcus Vinicio de Jesus 30 August 2016 (has links)
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. / O objetivo deste trabalho é estudar transformações de Möbius arbitrárias por meio de
transformações complexas mais simples, a saber: a Translação, a Rotação, a Homotetia (Contração
e Dilatação) e a Inversão. Os resultados obtidos foram aplicados em círculos e retas. No
final, damos a alternativa de estudar transformações de Möbius via matrizes.
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