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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Geometry: from Isometries to Special Relativity
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Geometry: from Isometries to Special Relativity
Nam-Hoon Lee (Broschiert, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
29.04.2021
Sprache
Englisch
EAN
9783030421038
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Undergraduate Texts in Mathematics
Sonderedition
Nein
Autor
Nam-Hoon Lee
Seitenanzahl
258
Einbandart
Broschiert
Schlagwörter
Euclidean geometry and relativity, Non-Euclidean geometry and relativity, Undergraduate geometry and relativity, Euclidean plane, Special relativity undergraduate, Special relativity via geometry, Stereographic projection, Hyperbolic plane, Hyperbolic plane geodesics, Hyperbolic plan isometries, Hyperbolic geometry for undergraduates, Geometry via isometries, Isometries of the plane, Poincaré disk, Three reflections theorem
Thema-Inhalt
PBML - Nichteuklidische Geometrie
PBM - Geometrie
PBD - Diskrete Mathematik
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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