GR package

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Dox

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Feb 4, 2010, 9:13:02 PM2/4/10
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Hi people!
As some of you may know I'm a physicist. One of my complains to
Mathematica is the lack of an easily usable tensor package, specially
for those (like me) interested in General Relativity calculations.

Does a package like that exist in Sage?

Thank you!

Jason Grout

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Feb 4, 2010, 9:37:09 PM2/4/10
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I don't think so (but that's not my area at all, so I'm not very certain).

I would strongly encourage you to post this to the sage-devel mailing
list, though. Chances are someone there may have an interest in these
sorts of things. If something doesn't exist in Sage that you would
like, go ahead and design/implement whatever is perfect for you and
submit it for inclusion. We'd love to have a usable tensor package!

Thanks,

Jason

William Stein

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Feb 4, 2010, 11:49:11 PM2/4/10
to sage-edu, John Lee, sage-devel

There are numerous packages for Mathematica for doing tensor calculus.
I can't comment on whether or not they are "easily usable" (is any
interesting mathematics or physics "easy"?). Here's an example of
one of those packages: http://www.math.washington.edu/~lee/Ricci/

In 2006 and 2007 various people investigated writing tensor calculus
packages for Sage, but in the end nothing came of this. I think
there is maybe something in Maxima, which is included in Sage, but it
is nowhere as sophisticated as what is available for Mathematica.

My third-hand understanding from people I talked with about this was
the Mathematica language/system was in fact particularly well suited
for tensor calculus.

William

>
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>
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William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

William Stein

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Feb 5, 2010, 1:17:12 AM2/5/10
to sage-edu, John Lee, sage-devel
On Thu, Feb 4, 2010 at 8:49 PM, William Stein <wst...@gmail.com> wrote:
> On Thu, Feb 4, 2010 at 6:13 PM, Dox <o.castill...@gmail.com> wrote:
>> Hi people!
>> As some of you may know I'm a physicist. One of my complains to
>> Mathematica is the lack of an easily usable tensor package, specially
>> for those (like me) interested in General Relativity calculations.
>>
>> Does a package like that exist in Sage?
>
> There are numerous packages for Mathematica for doing tensor calculus.
>  I can't comment on whether or not they are "easily usable" (is any
> interesting mathematics or physics "easy"?).   Here's an example of
> one of those packages: http://www.math.washington.edu/~lee/Ricci/
>
> In 2006 and 2007 various people investigated writing tensor calculus
> packages for Sage, but in the end nothing came of this.   I think
> there is maybe something in Maxima, which is included in Sage, but it
> is nowhere as sophisticated as what is available for Mathematica.
>
> My third-hand understanding from people I talked with about this was
> the Mathematica language/system was in fact particularly well suited
> for tensor calculus.
>
> William

The author of Ricci sent this to me. I don't know if it will go
through to the list, so I've copied it here:

"It's true, Mathematica is a great system for writing packages to do
tensor calculations, and I found it to be very useful when I wrote my
Ricci package. But I have to warn you that there are lots of
capabilities that you'll probably want, which Ricci doesn't have. The
most glaring lack is the ability to define a specific metric tensor in
coordinates and calculate the corresponding curvature tensor. This,
among other things, is something that I've long intended to add to
Ricci, but so far it hasn't happened.

Jack Lee
_______________________________________________
John M Lee, Professor of Mathematics
University of Washington Mathematics Department, Box 354350
Seattle, WA 98195-4350
l...@math.washington.edu, 206-543-1735
http://www.math.washington.edu/~lee
"

Harald Schilly

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Feb 5, 2010, 5:32:19 AM2/5/10
to sage-edu
On Feb 5, 5:49 am, William Stein <wst...@gmail.com> wrote:
> Here's an example of
> one of those packages: http://www.math.washington.edu/~lee/Ricci/

Look like development has stopped 2006 and you can buy a better
version here:
http://smc.vnet.net/mathtensor.html

h

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