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. > > Thanks in advance and > 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: https://groups.google.com/d/msg/comp.soft-sys.math.mathematica/VBXq2LPmxD8/YeNpmyOWUYwJ Jens

**Follow-Ups**:**Is there SphericalListPlot3D?***From:*Ted Sariyski <tsariysk@craft-tech.com>