Book Suggestion for Tensor Calculus

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SUMMARY

The forum discussion centers on recommended books for learning tensor calculus, particularly in the context of General Relativity (GR). The primary recommendation is "Landau & Lifshitz, Volume 2," which effectively covers both GR and essential tensor calculus using Ricci calculus and holonomous bases. For a more contemporary perspective, "Gravitation" by Misner, Thorne, and Wheeler is suggested as a valuable resource for modern approaches to the subject.

PREREQUISITES
  • Understanding of General Relativity concepts
  • Familiarity with Ricci calculus
  • Knowledge of holonomous bases
  • Basic calculus skills
NEXT STEPS
  • Read "Landau & Lifshitz, Volume 2" for foundational knowledge in tensor calculus and GR
  • Explore "Gravitation" by Misner, Thorne, and Wheeler for modern interpretations of GR
  • Study Ricci calculus in-depth to grasp its applications in physics
  • Investigate holonomous bases and their significance in tensor calculus
USEFUL FOR

This discussion is beneficial for physics students, researchers in theoretical physics, and anyone interested in mastering tensor calculus for applications in General Relativity.

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Homework Statement:: Book suggestion
Relevant Equations:: Calculus

Book suggestion for tensor calculus.
 
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dextercioby said:
What do you want to learn tensor calculus for?
for General Relativity
 
I'd start with Landau&Lifshitz vol. 2. There you get both GR and the necessary tensor calculus in the most economic form, i.e., just Ricci calculus using holonomous bases. For more modern approaches, then see Misner, Thorne, Wheeler, Gravitation.
 
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