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How to use tensors in Mathematica?

Posted 13 years ago
Hello everybody,
I am beginner in Mathematica. I would like to know how to use tensors in Mathematica in general relativity, i.e. when i have defined metric tensor, how to compute tensors that appear in Einstein and Maxwell equations and get exact form of both sides; lowering/uppering four-vectors, covariant derivate etc. Is it built in or is some package needed?

Thank you for any answer.
POSTED BY: Ji?í Ryzner
8 Replies
Posted 1 month ago

With the release of version 14.3, examples using the new functions FindShortestCurve and ShortestCurveDistance have been added."

POSTED BY: Marty Parts
Posted 2 months ago

"Tensorial Analysis" was originally developed by Renan Cabrera and later modified by Munehiro Shinabe (shinabe.munehiro@hotmail.co.jp). This tensor calculus package is designed for beginners and is well-suited for studying in reference to standard textbooks. Its beautifully formatted equations follow the notation commonly used in academic texts. Last updated: September 27, 2025

P.S.: I have also attached reference materials for self-study. https://www.moge.org/okabe/temp/Riemann.pdf

POSTED BY: Marty Parts
Posted 1 year ago

Happy New Year. I will upload the latest version. If you have any comments or advice, please feel free to reply.

POSTED BY: Marty Parts
Posted 1 year ago

Title: "Tensor Analysis and Calculus" msh_tensorial20241202.nb is a notebook file created for beginners to help them understand introductory books on tensors. The "msh_tensorial.wl" package is easy to use with good-looking mathematical expressions.

POSTED BY: Marty Parts
Posted 1 year ago

I have attached "msh_tensorial.m" (the tensor calculus package) to my previous reply, and I am attaching it again.

Attachments:
POSTED BY: Marty Parts
Posted 1 year ago
Posted 1 year ago

Marty,

The tensor calculus package cannot be downloaded. Can you please repost.

Thanks

POSTED BY: Alan Mok
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