Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48497#.VD95elfHRK0 Author(s) Rania B. M. Amer Affiliation(s) Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt . ABSTRACT In this paper, I have provided a brief introduction on M?bius transformation and explored some basic properties of this kind of transformation. For instance, M?bius transformation is classified according to the invariant points. Moreover, we can see that M?bius transformation is hyperbolic isometries that form a group action PSL (2, R) on the upper half plane model. KEYWORDS The Upper Half-Plane Model , Möbius Transformation ,...
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