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＜電子ブック＞
Geometry: from Isometries to Special Relativity / by Nam-Hoon Lee
(Undergraduate Texts in Mathematics. ISSN:21975604)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2020
大きさ	XIII, 258 p. 92 illus., 18 illus. in color : online resource
著者標目	*Lee, Nam-Hoon author SpringerLink (Online service)
件　名	LCSH:Geometry, Hyperbolic LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Mathematical physics FREE:Hyperbolic Geometry FREE:Convex and Discrete Geometry FREE:Theoretical, Mathematical and Computational Physics
一般注記	Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-030-42101-4

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