A Mathematical Journey to Relativity Deriving Special and General Relativity with Basic Mathematics /

The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications. The textbook aims to provide a comprehensive geometric description of Special and General Relativity...

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Opis bibliograficzny
Główni autorzy: Boskoff, Wladimir-Georges (Autor), Capozziello, Salvatore (Autor)
Korporacja: SpringerLink (Online service)
Format: Elektroniczne E-book
Język:angielski
Wydane: Cham : Springer International Publishing : Imprint: Springer, 2024.
Wydanie:2nd ed. 2024.
Seria:UNITEXT for Physics,
Hasła przedmiotowe:
Dostęp online:https://doi.org/10.1007/978-3-031-54823-9
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Spis treści:
  • Euclidean and Non-­Euclidean Geometries: How they appear
  • Basic Facts in Euclidean and Minkowski Plane Geometry
  • From Projective Geometry to Poincaré Disk. How to carry out a Non-Euclidean Geometry Model
  • Revisiting the Differential Geometry of Surfaces in 3D-Spaces
  • Basic Differential Geometry Concepts and their Applications
  • Differential Geometry at Work: Two Ways of Thinking the Gravity. The Einstein Field Equations from a Geometric Point of View
  • Differential Geometry at Work: Euclidean, Non-Euclidean and Elliptic Geometric Models from Geometry and Physics
  • Gravity in Newtonian Mechanics
  • Special Relativity
  • General Relativity and Relativistic Cosmology
  • A Geometric Realization of Relativity: the de Sitter Spacetime
  • Another Geometric Realization of Relativity: the Anti-de Sitter Spacetime
  • More than Metric: Geometric Objects for Alternative Pictures of Gravity
  • Metric-Affine Theories of Gravity
  • Conclusions.