Titlebook: Linear Fractional Transformations; An Illustrated Intro Arseniy Sheydvasser Textbook 2023 The Editor(s) (if applicable) and The Author(s),

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https://doi.org/10.1007/978-3-031-25002-6Linear fractional transformations; M?bius transformations; Conformal geometry; Inversive geometry; Eucli

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Applications of Inversive Geometry,metries. Now is a good time to make good on this promise: we are going to see how convenient inversive geometry is when attacking various problems that would have given the ancient Greeks and later geometers trouble.

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Construction of Hyperbolic Geometry, possible candidates for exposition but probably the single most important is hyperbolic space. The hyperbolic plane was the original example of a non-Euclidean space—that is, a geometry that satisfied all of Euclid’s axioms for plane geometry save for what is now known as the Fifth Postulate.

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Arseniy SheydvasserHighly visual and beautifully illustrated.Exercises are organized into sections pertaining to various topics.Assumed little mathematical knowledge

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Linear Fractional Transformations978-3-031-25002-6Series ISSN 0172-6056 Series E-ISSN 2197-5604

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Ludovic Lebartver, emergence of information systems of that complexity calls for new methodologies in software engineering that take a holistic view of the systems and their embedding in our social and natural fabric. In fact, the metaphor of information ecologies gives us the language and concepts with which to