Textbooks for tensors and group theory

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SUMMARY

The discussion centers on the suitability of the textbook "An Introduction to Tensors and Group Theory for Physicists" for undergraduate students preparing for quantum field theory (QFT) and particle physics. Participants agree that this book is a good introduction, particularly for physicists, as it aligns with their specific language and needs. Additionally, "Tensor Calculus" by Barry Spain is recommended as a valuable resource for understanding tensor calculus. Both texts are essential for grasping the mathematical foundations required for advanced physics studies.

PREREQUISITES
  • Basic linear algebra
  • Ordinary differential equations (ODE)
  • Fundamentals of quantum mechanics
  • Understanding of tensors and group theory
NEXT STEPS
  • Study "An Introduction to Tensors and Group Theory for Physicists"
  • Read "Tensor Calculus" by Barry Spain
  • Explore Lie algebra concepts in the context of physics
  • Research additional resources on quantum field theory (QFT)
USEFUL FOR

This discussion is beneficial for undergraduate physics students, particularly those interested in quantum field theory and particle physics, as well as educators seeking effective teaching materials on tensors and group theory.

doggydan42
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Hello,

I am an undergraduate who has taken basic linear algebra and ODE. As for physics, I have taken an online edX quantum mechanics course.

I am looking at studying some of the necessary math and physics needed for QFT and particle physics. It looks like I need tensors and group theory, specifically Lie algebra, both of which I have no prior knowledge.

I was wondering if An Introduction to Tensors and Group Theory for Physicists would be a good textbook.

If not, are there any other recommendations?

Thanks in advance
 
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Looks o.k. for physicists. I would prefer this over mathematical books if I were a physicist, and dig deeper if necessary. The basic difficulty here is that mathematicians and physicists use a different language. So unless you really study it, it will be hard to switch. I think it's a good introduction.

(I have only checked the content list.)
 
doggydan42 said:
Hello,

I am an undergraduate who has taken basic linear algebra and ODE. As for physics, I have taken an online edX quantum mechanics course.

I am looking at studying some of the necessary math and physics needed for QFT and particle physics. It looks like I need tensors and group theory, specifically Lie algebra, both of which I have no prior knowledge.

I was wondering if An Introduction to Tensors and Group Theory for Physicists would be a good textbook.

If not, are there any other recommendations?

Thanks in advance
I think tensor calculus by barry spain is a great book...
 

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