Which book is well suitable for the study of tensor analysis and group theory

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Discussion Overview

The discussion revolves around recommendations for books suitable for self-study in tensor analysis and group theory, with a focus on their applications in theoretical physics and mathematics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks recommendations for books on tensor analysis and group theory for self-study, indicating an interest in theoretical physics.
  • Another participant suggests "Groups, Representations and Physics" by Jones as a suitable introduction to group theory, particularly for applications in physics.
  • A participant mentions a thread on tensor analysis as a resource, although no specific book is named.
  • One participant expresses their background in mathematical analysis and algebra, seeking more detailed suggestions for books on related mathematical topics.
  • A different participant recommends "Groups and their Graphs" by Israel Grossman and Wilhelm Magnus as a good introductory text on group theory.

Areas of Agreement / Disagreement

Participants generally agree on the importance of mathematics for understanding physics and provide various book recommendations, but there is no consensus on a single best book for tensor analysis or group theory.

Contextual Notes

Participants express varying levels of familiarity with mathematics, and some recommendations depend on the specific aims of the self-study, such as whether it is for pure mathematics or applied physics.

Who May Find This Useful

Students and self-learners interested in theoretical physics and the mathematical foundations of physics may find the discussion and book recommendations useful.

Sillyboy
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Please introduce me a good book for my self_study of tensor analysis and group theory.
I am a sophermore preparing to self-study them!
 
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xepma said:
What's the 'aim' of your self-study? Mathematics or physics? Or some other form of applied math?

If it's aimed at applying it to physics, then I can recommend Groups, Representations and Physics by Jones,
http://www.amazon.com/dp/0750305045/?tag=pfamazon01-20

as a nice intro into group theory. As for tensor analysis I suggest this thread here:

https://www.physicsforums.com/showthread.php?t=350943
thank you for your reply so much!
En,uh. I just want to do theoretical physics in the future. I knew mathematics is very, very important to comprehend the theory of physics, and actually I did encounter some difficulties while self-studying the principles of mechanics. So, I thought I should learn more about mathematics such as algebra and differentiable manifolds.
I wish you, friends can recommend me some such books with their concrete book names!
 
En, I have studied mathematical analysis and algebra.
I am studying some other mathematics such as mathamatical phyics and probability, ordinary diffrential equation!
If you are seasoned enough, give me some detailed suggestions!
 
"Groups and their Graphs" by Israel Grossman and Wilhelm Magnus

I used this book in my junior year of high school. It's a really good introduction to the subject.
 

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