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010   $a3-030-42101-5
024 7 $a10.1007/978-3-030-42101-4
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035   $a(DE-He213)978-3-030-42101-4
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100   $a20200428d2020      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGeometry: from Isometries to Special Relativity$b[electronic resource] /$fby Nam-Hoon Lee
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (XIII, 258 p. 92 illus., 18 illus. in color.) 
225 1 $aUndergraduate Texts in Mathematics,$x0172-6056
311   $a3-030-42100-7 
320   $aIncludes bibliographical references and index.
327   $aEuclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index.
330   $aThis textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein?s spacetime in one accessible, self-contained volume. Using tools tailored to undergraduates, the author explores Euclidean and non-Euclidean geometries, gradually building from intuitive to abstract spaces. By the end, readers will have encountered a range of topics, from isometries to the Lorentz?Minkowski plane, building an understanding of how geometry can be used to model special relativity. Beginning with intuitive spaces, such as the Euclidean plane and the sphere, a structure theorem for isometries is introduced that serves as a foundation for increasingly sophisticated topics, such as the hyperbolic plane and the Lorentz?Minkowski plane. By gradually introducing tools throughout, the author offers readers an accessible pathway to visualizing increasingly abstract geometric concepts. Numerous exercises are also included with selected solutions provided. Geometry: from Isometries to Special Relativity offers a unique approach to non-Euclidean geometries, culminating in a mathematical model for special relativity. The focus on isometries offers undergraduates an accessible progression from the intuitive to abstract; instructors will appreciate the complete instructor solutions manual available online. A background in elementary calculus is assumed.
410  0$aUndergraduate Texts in Mathematics,$x0172-6056
606   $aHyperbolic geometry
606   $aConvex geometry 
606   $aDiscrete geometry
606   $aMathematical physics
606   $aHyperbolic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21030
606   $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014
606   $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005
615  0$aHyperbolic geometry.
615  0$aConvex geometry .
615  0$aDiscrete geometry.
615  0$aMathematical physics.
615 14$aHyperbolic Geometry.
615 24$aConvex and Discrete Geometry.
615 24$aTheoretical, Mathematical and Computational Physics.
676   $a516
700   $aLee$b Nam-Hoon$4aut$4http://id.loc.gov/vocabulary/relators/aut$01015189
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996418184703316
996   $aGeometry: from Isometries to Special Relativity$92369396
997   $aUNISA