Learn Tensor & Topology: Self-Study Resources for Physics B.S. & CAS Fellow

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SUMMARY

This discussion focuses on recommended resources for self-study in tensors and topology, specifically for individuals with a background in physics. Key texts suggested include "A Brief on Tensor Analysis" by James G. Simmonds and "Tensor Geometry: The Geometric Viewpoint and Its Uses" by Christopher T. J. Dodson and Timothy Poston. The participant, Frank Warner, is currently relearning vector calculus using the book "Div, Grad, Curl, and All That." These resources are tailored for those looking to deepen their understanding of mathematical concepts relevant to physics.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with vector calculus
  • Knowledge of undergraduate-level mathematics
  • Background in physics
NEXT STEPS
  • Research "A Brief on Tensor Analysis" by James G. Simmonds
  • Explore "Tensor Geometry: The Geometric Viewpoint and Its Uses" by Dodson and Poston
  • Study vector calculus using "Div, Grad, Curl, and All That"
  • Investigate additional resources on differentiable manifolds
USEFUL FOR

This discussion is beneficial for physics students, self-learners in mathematics, and professionals in fields requiring a solid understanding of tensors and topology.

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Can anyone recommend good introductory texts for self-study? I want to teach myself about tensors and about topology.
FYI, I have a B.S. in Physics and am a Fellow of the Casualty Actuarial Society. I don't remember my vector calculus and am in the process of relearning - I'm using the book div, grad, curl, and all that
Thanks much!
 
Last edited:
Physics news on Phys.org
frank warner, foundations of differentiable manifolds(?).
 
Try:



A Brief on Tensor Analysis (Undergraduate Texts in Mathematics)
by James G. Simmonds

and


Tensor Geometry: The Geometric Viewpoint and Its Uses (Graduate Texts in Mathematics, 130)
by Christopher T. J. Dodson, Timothy Poston
 
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