Learn Tensor: 4 Books to Start With

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  • Thread starter Thread starter Livethefire
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SUMMARY

The forum discussion centers on recommendations for learning materials on tensors, particularly for a second-year physics student seeking to deepen their understanding for classical mechanics and general relativity. Key suggestions include "Geometrical Methods of Mathematical Physics" by Schutz, which is noted for its comprehensive coverage of the topic. Other books mentioned include "Tensor Analysis on Manifolds" by Bishop and "Introduction to Tensor Analysis and the Calculus of Moving Surfaces" by Hartenberg. The participant expresses a desire for effective self-study resources and seeks further advice on the suitability of these texts.

PREREQUISITES
  • Basic understanding of physics principles, particularly classical mechanics.
  • Familiarity with mathematical concepts such as linear algebra and calculus.
  • Exposure to introductory physics textbooks that mention tensors.
  • Ability to engage with advanced mathematical texts independently.
NEXT STEPS
  • Research "Geometrical Methods of Mathematical Physics" by Schutz for comprehensive tensor coverage.
  • Explore "Tensor Analysis on Manifolds" by Bishop for a deeper mathematical approach.
  • Investigate "Introduction to Tensor Analysis and the Calculus of Moving Surfaces" by Hartenberg for practical applications.
  • Look into online courses or lectures on tensor calculus to supplement book learning.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in mastering tensor analysis for applications in classical mechanics and general relativity.

Livethefire
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Im not sure why the learning materials section is blocked for me to post in, however:
I am stuck between these books:

https://www.amazon.com/dp/0486658406/?tag=pfamazon01-20

https://www.amazon.com/dp/0486640396/?tag=pfamazon01-20

https://www.amazon.com/dp/0486638332/?tag=pfamazon01-20

https://www.amazon.com/dp/048661879X/?tag=pfamazon01-20

I am a second, going on third your physics student who wants to learn tensors, they have only been mentioned in passing and I want to learn more to go over more detailed classical mechanics and general relativity. Any suggestions or recommendations would be greatly aprechiated.

Or indeed any other advice at all would be great.


Thank you.
 
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My recommendation would be "Geometrical Methods of Mathematical Physics" by Schutz.
 
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Hmm looking at the chapter headings that seems very comprehensive indeed. I guess searching for "tensors" and looking for things like that doesn't come up with everything haha.

I actually have

https://www.amazon.com/dp/0521679710/?tag=pfamazon01-20

Which of course is just an overview really, and it has some stuff on tensors but the book you recommend seems to fit nicely. I'll search that one up a bit more and await a few more replies before I jump and buy.

This may well be the best book in your opinion for this but do you think it would be the best for me- self study and haven't been exposed to tensors other than a passing mention?

Thanks again.
 
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