Abstract
In Section 4.1 we review reflections in a sphere and the inversive geometry of a plane. Sections 4.2 and 4.3 are devoted to Möbius transformations and their applications in spherical and hyperbolic geometries. In Section 4.4 we develop several MATLAB ® procedures to solve problems and visualize solutions in a half-plane and half-space (the Poincaré model).
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Rovenski, V. (2010). Möbius Transformations. In: Modeling of Curves and Surfaces with MATLAB®. Springer Undergraduate Texts in Mathematics and Technology. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71278-9_4
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DOI: https://doi.org/10.1007/978-0-387-71278-9_4
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Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-71277-2
Online ISBN: 978-0-387-71278-9
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