Need resources for self study of tensor analysis and other Physics topics

In summary, the request seeks resources for self-study in tensor analysis and various physics topics, emphasizing the need for comprehensive materials such as textbooks, online courses, and lecture notes to facilitate understanding and mastery of these advanced subjects.
  • #1
MatinSAR
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Hello.
I'm currently trying to learn tensor analysis using MATHEMATICAL METHODS FOR PHYSICISTS(By Arfken) but I cannot understand this book well.
Is there any other book (same level as Arfken) to learn about tensor analysis as a beginner?

Is there anyway that I find out wchich books are suggusted by top universities for BS physics?
My problem is that I cannot learn by listening in class so I need to read myself.
 
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  • #2
There are the usual suspects of course:
Arfken
Boas
Riley, Hobson, Bence

They will all be pretty similar in level and approach but I guess somewhat complementary.

Then I of course have to mention my own book in any thread like this. I did try for a somewhat different approach so there’s that. Maybe another point of view helps.

Finally, you may be helped by a dedicated book on tensor analysis. There are a lot of them out there.
 
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  • #3
Orodruin said:
Then I of course have to mention my own book in any thread like this. I did try for a somewhat different approach so there’s that. Maybe another point of view helps.
I'm sure it's a good choice according to what I've read here: https://www.physicsforums.com/insights/the-birth-of-a-textbook/
But I couldn't find a tranlation of your book(Sadly I can't learn in English.) And I cannot buy directly from Amazon because paypal and ... doesn't have service here.

Orodruin said:
There are the usual suspects of course:
Arfken
Boas
Riley, Hobson, Bence
Thanks. I hope I will find them in my language ...
 
Last edited:
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  • #4
Orodruin said:
hen I of course have to mention my own book in any thread like this. I did try for a somewhat different approach so there’s that. Maybe another point of view helps.
Wow! I think I've found your book in an online shop in my country ... But again sadly it is in english and I'm sure that online shop doesn't have the premission to publish your book ...
1705357806023.png

This is the book that I've founded on the online shop ...
 
  • #5
You might want to check out general relativity books. Many of them have a chapter on tensors.
 
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  • #6
MatinSAR said:
I'm sure it's a good choice according to what I've read here: https://www.physicsforums.com/insights/the-birth-of-a-textbook/
But I couldn't find a tranlation of your book(Sadly I can't learn in English.) And I cannot buy directly from Amazon because paypal and ... doesn't have service here.


Thanks. I hope I will find them in my language ...
Discarding English as a learning language will of course significantly decrease the availability of many books. Unless books are extremely successful and your language is a major one, there will simply not be enough market for a translation.

MatinSAR said:
Wow! I think I've found your book in an online shop in my country ... But again sadly it is in english and I'm sure that online shop doesn't have the premission to publish your book ...
View attachment 338651
This is the book that I've founded on the online shop ...
That’s the one. As also seen on my avatar.

It is published by CRC press but can of course be sold by other vendors as well.
 
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  • #7
MatinSAR said:
I can't learn in English
As mentioned, that will be limiting.
You might tell us what your language is, so we don't have to guess.
 
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  • #8
Frabjous said:
You might want to check out general relativity books. Many of them have a chapter on tensors.
Thanks! I will.
Orodruin said:
Discarding English as a learning language will of course significantly decrease the availability of many books. Unless books are extremely successful and your language is a major one, there will simply not be enough market for a translation.
Yes. Sadly.
I think I should try reading English versions as soon as possible. Thanks for your time.
Vanadium 50 said:
As mentioned, that will be limiting.
You might tell us what your language is, so we don't have to guess.
Persian. But It won't help you to suggest a book. Because no one translates English to Persian except iranian professors. My only chance is to search and find popular books. Then I should try to find a translation or try to use english version which is really hard ...
 
  • #9
MatinSAR said:
I think I should try reading English versions as soon as possible.
I don't know if it helps, but there are some language translation apps that may help you as you learn more English and read textbooks. I've had good luck with the cellphone app "Lens", but I've only used it for simple text translations (from Chinese to English). The nice thing is that you can hover your cellphone camera over the text and get a full in-place translation within a few seconds. I have not tried reading a textbook with it yet, though.

https://play.google.com/store/apps/details?id=com.translator.lens.android&hl=en_US&gl=US
 
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  • #10
This is unfortunate - there is not so much available in Farsi translation, for various reasons.
 
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  • #11
MatinSAR said:
try to use english version which is really hard ...
I disagree. To read Shakespeare in English might be hard. To read mathematics and physics textbooks, is not. I know - English is my third language.
 
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  • #12
berkeman said:
I have not tried reading a textbook with it yet, though.

https://play.google.com/store/apps/details?id=com.translator.lens.android&hl=en_US&gl=US
Of course it helps ...
Thank you. I will try it.
Vanadium 50 said:
This is unfortunate - there is not so much available in Farsi translation, for various reasons.
Yes.
Hill said:
I disagree. To read Shakespeare in English might be hard. To read mathematics and physics textbooks, is not. I know - English is my third language.
Good point of view... Thanks. I think this is a good chance for me to start reading English versions. Thank you to everyone for his help and time.
 
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FAQ: Need resources for self study of tensor analysis and other Physics topics

Where can I find good resources for self-studying tensor analysis?

For self-studying tensor analysis, you can start with textbooks like "Introduction to Tensor Analysis and the Calculus of Moving Surfaces" by Pavel Grinfeld or "Tensor Analysis on Manifolds" by Richard L. Bishop and Samuel I. Goldberg. Online platforms like MIT OpenCourseWare and Khan Academy also offer valuable lectures and notes. Additionally, YouTube channels such as "Physics Explained" provide visual explanations that can be very helpful.

What prerequisites do I need before studying tensor analysis?

Before diving into tensor analysis, you should have a solid understanding of linear algebra and multivariable calculus. Familiarity with differential geometry and classical mechanics can also be beneficial. These areas provide the foundational mathematical tools and physical intuition needed to grasp tensor concepts effectively.

How do I self-study advanced physics topics like quantum mechanics and general relativity?

For self-studying advanced physics topics like quantum mechanics, start with "Introduction to Quantum Mechanics" by David J. Griffiths. For general relativity, "A First Course in General Relativity" by Bernard Schutz is highly recommended. Supplement your reading with online courses from platforms like Coursera, edX, and MIT OpenCourseWare. Additionally, joining online forums and study groups can provide support and enhance your understanding.

Are there any online communities where I can discuss tensor analysis and other physics topics?

Yes, there are several online communities where you can discuss tensor analysis and other physics topics. Websites like Physics Stack Exchange, Reddit's r/Physics, and specialized forums such as Physics Forums are great places to ask questions, share resources, and engage with other learners and experts in the field.

How can I effectively practice problems in tensor analysis and other physics subjects?

To effectively practice problems in tensor analysis and other physics subjects, work through problems in textbooks and online resources. Websites like Brilliant.org and Khan Academy offer interactive problem-solving exercises. Additionally, solving past exam papers from university courses and participating in online challenges or competitions can provide practical experience and reinforce your understanding.

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