Re: Symbolic tensor analysis in Mathematica 8

• To: mathgroup at smc.vnet.net
• Subject: [mg125523] Re: Symbolic tensor analysis in Mathematica 8
• From: JUN <noeckel at gmail.com>
• Date: Sat, 17 Mar 2012 02:51:29 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <jjv8hs\$pho\$1@smc.vnet.net>

```On Friday, March 16, 2012 4:35:24 AM UTC-7, Misery Slave wrote:
> Hello,
>
> Recently I begun to use Mathematica. For now I'm trying to learn to
> use it properly.
> The first tasks I would like to play with, are vector and tensor
> analysis.
> The question is:
> For simplicity I would like to have vector definition:
>
> v={v1,v2,v3} or v={vx,vy,vz}
>
> where 1,2,3 or x,y,z are subscripts or superscripts. How do I achieve
> that? When I write something like that I get the recursion which I do
> not want. And the other thing is: how do I tell Mathematica that for
> example vx is a function of x,y,z to get something like:
>
> vx=f(x,y,z), vy=g(x,y,z), vz=h(x,y,z)
>
> to describe vector field. But during derivations I may not know
> formulas for f,g,h. But when counting the derivative I would like to
> get
>
> Dv/dx={f'(x,y,z),g'(x,y,z),h'(x,y,z)}
> and so on.
>
> Best regards,
> Misery

You may find the following posts useful:

(a)
General discussion on how to make subscript notation work:
http://mathematica.stackexchange.com/questions/3020/why-cant-i-define-vector-v-as-having-subscripted-elements-v-1-v-2-v-3

(b)
More specific example of how I would display objects for vector analysis: