Introduction to Tensor Analysis: Texts for Beginners

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SUMMARY

This discussion focuses on recommended introductory texts for tensor analysis, particularly for those without formal coursework in the subject. Key texts mentioned include "A First Course in General Relativity" by Schutz, which provides a challenging introduction to tensors, and "An Introduction to General Relativity, Spacetime and Geometry" by Sean M. Carroll, which is noted for its superior content compared to its accompanying lecture notes. Additionally, "Tensor Theory" by I.S. Sokolnikoff and the work by Crampin and Pirani are highlighted as valuable resources for beginners.

PREREQUISITES
  • Basic understanding of general relativity concepts
  • Familiarity with mathematical notation and tensor operations
  • Knowledge of physics principles related to spacetime
  • Access to online lecture notes and resources
NEXT STEPS
  • Read "An Introduction to General Relativity, Spacetime and Geometry" by Sean M. Carroll
  • Explore the lecture notes available at http://preposterousuniverse.com/grnotes/ for foundational concepts
  • Study "Tensor Theory" by I.S. Sokolnikoff for a comprehensive understanding of tensors
  • Review Crampin and Pirani's work for additional insights into tensor analysis
USEFUL FOR

This discussion is beneficial for students and researchers in physics, particularly those interested in general relativity and tensor analysis, as well as self-learners seeking foundational texts in these areas.

urbana
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Can anyone recommend a good introductory text on tensor analysis? My college has neither a GR nor a tensor analysis course but i'd still like to read a good introductory text to prepare for an independent research project.
 
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Schutz, A First Course in General Relativity has a good introduction to tensors.
 
urbana said:
Can anyone recommend a good introductory text on tensor analysis? My college has neither a GR nor a tensor analysis course but i'd still like to read a good introductory text to prepare for an independent research project.

An Introduction to General Relativity, Spacetime and Geometry, by Sean M. Carroll

The notes that the text is based on can be found at this link, so you can get an idea if this is what you are looking for. However, the text is much better than the notes.

http://preposterousuniverse.com/grnotes/

Someone here also posted a link to GR lectures and notes. This includes a good introduction to tensors.

http://www.physics.mcgill.ca/~maloney/514/
 
I can recommend 'Tensor Theory' by I.S Sokolnikoff. It is a very good text.
 

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