EAN: 9783030421038

Bilder-Quelle: discount24.de - Sport-Freizeit

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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02.05.2025 um 23:08 Uhr

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