Which Textbook Best Teaches Tensor Analysis for General Relativity?

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SUMMARY

The forum discussion centers on recommendations for textbooks that effectively teach tensor analysis in the context of general relativity (GR). Key texts mentioned include "Tensor Analysis on Manifolds" by Bishop and Goldberg, "Tensors and Manifolds" by Wasserman, and "Gravitation" by Misner, Thorne, and Wheeler. Participants emphasize the importance of understanding coordinate-free calculus and linear algebra as prerequisites for grasping the mathematical foundations of GR. Additionally, "Schaum's Outline of Tensor Calculus" is noted as a useful resource for those who prefer a more practical approach to tensor computations.

PREREQUISITES
  • Coordinate-free calculus on manifolds
  • Abstract linear algebra
  • Basic understanding of general relativity
  • Familiarity with tensor calculus
NEXT STEPS
  • Study "Gravitation" by Misner, Thorne, and Wheeler for a comprehensive introduction to GR
  • Read "Schaum's Outline of Tensor Calculus" for practical tensor computation techniques
  • Explore "General Relativity from A to B" by Bob Geroch for a qualitative introduction to GR
  • Investigate "Analysis, Manifolds, and Physics" by Choquet-Bruhat for a rigorous mathematical approach to GR
USEFUL FOR

This discussion is beneficial for physics students, aspiring theoretical physicists, and anyone seeking to understand the mathematical foundations of general relativity without a strong background in pure mathematics.

  • #31
mathwonk said:
if i have the energy and time, it might be fun to start a threqd reading MTW here.

Having too much time on my hands, I'd be willing to help "proctor" such a thead (which should probably be in the SR&GR forum).
 
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  • #32
I'd be willing to participate in an MTW thread, also.

- Warren
 

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