Covariant & contravariant tensors

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SUMMARY

This discussion centers on the challenges faced by a student new to tensor calculus and general relativity (GR), specifically regarding covariant and contravariant tensors. The student seeks assistance with introductory problems related to tensor properties and transformations between rectangular and spherical coordinates. They possess a foundational understanding of linear transformations and special relativity but require guidance to navigate tensor calculus effectively.

PREREQUISITES
  • Understanding of linear transformations
  • Familiarity with special relativity concepts
  • Basic knowledge of tensor properties
  • Introduction to general relativity principles
NEXT STEPS
  • Study the properties of covariant and contravariant tensors
  • Learn about tensor transformations between coordinate systems
  • Explore introductory materials on tensor calculus
  • Review applications of tensors in general relativity
USEFUL FOR

Students and educators in physics, particularly those studying general relativity and tensor calculus, will benefit from this discussion.

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Homework Statement



I have a few introductory problems dealing with proofs of tensor properties, and one about a transformation from rectangular to spherical coordinates. If someone has the time and inclination to help out this week, I can email you the specific problem set. (I'd prefer not to post it publicly). I am familiar with linear transformations and special relativity, but this is my first attempt at tensor calculus and GR. Thank you!

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