Symbolic tensor analysis in Mathematica 8

*To*: mathgroup at smc.vnet.net*Subject*: [mg125511] Symbolic tensor analysis in Mathematica 8*From*: Misery Slave <miseryslave at gmail.com>*Date*: Fri, 16 Mar 2012 06:33:41 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

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. Thanks in advance and Best regards, Misery

**Follow-Ups**:**Re: Symbolic tensor analysis in Mathematica 8***From:*"Dave Snead" <dsnead6@charter.net>