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Geometry: from isometries to special relativity [Documento eletrónico] / by Nam-Hoon Lee

Main Author: Lee, Nam-Hoon, autor de citaçãoLanguage: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, 2020Description: XIII, 258 p. : il.ISBN: 978-3-030-42101-4.Series: Undergraduate Texts in MathematicsSubject - Topical Name: Geometry, Hyperbolic | Convex geometry  | Discrete geometry | Mathematical physics Online Resources:Click here to access online
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Item type Current library Collection Call number Copy number Status Date due Barcode
E-Books Biblioteca NOVA FCT Online Não Ficção QA685.SPR FCT (Browse shelf(Opens below)) 1 Available 95730

This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein's spacetime in one accessible, self-contained volume. Using tools tailored to undergraduates, the author explores Euclidean and non-Euclidean geometries, gradually building from intuitive to abstract spaces. By the end, readers will have encountered a range of topics, from isometries to the Lorentz-Minkowski plane, building an understanding of how geometry can be used to model special relativity. Beginning with intuitive spaces, such as the Euclidean plane and the sphere, a structure theorem for isometries is introduced that serves as a foundation for increasingly sophisticated topics, such as the hyperbolic plane and the Lorentz-Minkowski plane. By gradually introducing tools throughout, the author offers readers an accessible pathway to visualizing increasingly abstract geometric concepts. Numerous exercises are also included with selected solutions provided. Geometry: from Isometries to Special Relativity offers a unique approach to non-Euclidean geometries, culminating in a mathematical model for special relativity. The focus on isometries offers undergraduates an accessible progression from the intuitive to abstract; instructors will appreciate the complete instructor solutions manual available online. A background in elementary calculus is assumed.

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