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MathGroup Archive 2007

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Re: Coordinate conversion with Grad

  • To: mathgroup at smc.vnet.net
  • Subject: [mg75892] Re: Coordinate conversion with Grad
  • From: CKWong.P at gmail.com
  • Date: Sun, 13 May 2007 05:36:33 -0400 (EDT)
  • References: <f23pvb$nqd$1@smc.vnet.net>

Gradients are 1-forms (covariant vectors).
The Jacobian provided by Mathematica needs to be twiddled since it
deals with
 r d \[Theta] instead of d \[Theta].

<< Calculus`VectorAnalysis`;

SetCoordinates[ Cylindrical ]

v = Grad[ Cos[Ttheta] ]

J = JacobianMatrix[ ].DiagonalMatrix[{1, 1/Rr, 1}];

J.v




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