Geometry: from Isometries to Special Relativity

Euclidean Plane.- Sphere.- Stereographic Projection and Inversions.- Hyperbolic Plane.- Lorentz-Minkowski Plane.- Geometry of Special Relativity.- Answers to Selected Exercises.- Index.

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• Geometria
• Física Matemática
• Geometria não-euclidiana
• A matemática discreta

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;Poincare disk;Three reflections theorem