1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Gradient of a Vector Function in Other Co-ordinate Systems

  1. Feb 25, 2010 #1
    1. The problem statement, all variables and given/known data
    I am trying to figure out how to take the gradient of a vector function in polar and spherical co-ordinates.

    2. Relevant equations

    3. The attempt at a solution
    I am aware of how the gradient of a vector function in cartesian co-ords looks, simply the second order tensor

    (\boldsymol{\nabla}\mathbf F)_{ij} = \frac{\partial F_i(\boldsymbol x)}{\partial x_j}[/tex]

    I am having trouble extending this idea to polar and spherical co-ords. The del operator is easy enough to derive in different co-ordinates but finding the second order tensor I am having difficulties.
    Last edited: Feb 25, 2010
  2. jcsd
  3. Apr 8, 2010 #2


    User Avatar

    Any luck figuring out how to take a gradient of a vector field in spherical coordinates? I am also stumped on this and would appreciate any insight you have. Thanks!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook