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MathGroup Archive 2007

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Re: Coordinate conversion with Grad

  • To: mathgroup at smc.vnet.net
  • Subject: [mg75914] Re: Coordinate conversion with Grad
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Sun, 13 May 2007 05:47:54 -0400 (EDT)
  • References: <f23pvb$nqd$1@smc.vnet.net>

Hi,

a) CoordinatesToCartesian[] will do that
b) you are sure that a {0,-Sin[Ttheta]/Rr,0} in cylindircal coordinates
    with r=0 is not the origin ??

Regards
   Jens

laxmipt at gmail.com wrote:
> I am using Mathematica 5.2.
> I wish to do coordinate transformations for differential geometry.
> For
> example transform a Grad from a cylindrical system to a Cartesian
> system:
> For example:
> In[1]:= << Calculus`VectorAnalysis`;
> SetCoordinates[Cylindrical]
> 
> Out[2]:=Cylindrical[Rr, Ttheta, Zz]
> 
> In[3]:= Grad[Cos[Ttheta], Cylindrical[Rr, Ttheta, Zz]]
> 
> Out[4]:={0,-Sin[Ttheta]/Rr,0}
> 
> The above Grad vector refers to the cylindrical system.  How can I get
> Mathematica to convert it into the corresponding gradient in the
> Cartesian
> system, which would become:
> {sin^2(Ttheta)/Sqrt[x^2+y^2], sin(Ttheta)Cos(Ttheta)/Sqrt[x^2+y^2],0}
> 
> Thanks!
> Sachin
> 
> 


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