Capozziello, S: Mathematical Journey to Relativity
Gewicht:
793 g
Format:
241x160x29 mm
Beschreibung:
This book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to understand all other geometries and it is the cornerstone for our basic intuition of vector spaces. The generalization to non-Euclidean geometry is the following step to develop the language of Special and General Relativity.
Explains how special and general relativity are derived from basic mathematics
1. Euclidean and Non-Euclidean Geometries: How they appear.- 2. Basic Facts in Euclidean and Minkowski Plane Geometry.- 3. Geometric Inversion, Cross Ratio, Projective Geometry and Poincaré Disk Model.- 4. Surfaces in 3D-Spaces.- 5. Basic Differential Geometry.- 6. Non-Euclidean Geometries and their Physical Interpretation.- 7. Gravity in Newtonian Mechanics.- 8. Special Relativity.- 9. General Relativity and Relativistic Cosmology.- 10. A Geometric Realization of Relativity: The Affine Universe and de Sitter Spacetime.
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