Differential topology and geometry with applications to physics /

Differential geometry has encountered numerous applications in physics. More and more physical concepts can be understood as a direct consequence of geometric principles. The mathematical structure of Maxwell's electrodynamics, of the general theory of relativity, of string theory, and of gauge...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Nahmad-Achar, Eduardo (Author)
Format: Electronic eBook
Language:Inglés
Published: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]
Series:IOP (Series). Release 6.
IOP expanding physics.
Subjects:
Geometry, Differential.
Topology.
Mathematical physics.
SCIENCE / Physics / Mathematical & Computational.
Online Access:Texto completo
Table of Contents:
  • 1. Synopsis of general relativity
  • 2. Curves and surfaces in E3
  • 3. Elements of topology
  • 4. Differentiable manifolds
  • 5. Tangent vectors and tangent spaces
  • 6. Tensor algebra
  • 7. Tensor fields and commutators
  • 8. Differential forms and exterior calculus
  • 9. Maps between manifolds
  • 10. Integration on manifolds
  • 11. Integral curves and Lie derivatives
  • 12. Linear connections
  • 13. Geodesics
  • 14. Torsion and curvature
  • 15. Pseudo-Riemannian metric
  • 16. Newtonian space-time and thermodynamics
  • 17. Special relativity, electrodynamics, and the Poincaré group
  • 18. General relativity
  • 19. Gravitational radiation
  • 20. Further reading.

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