Hi, I implemented coordinate transformations with sympy, patches are here, please review:
http://groups.google.com/group/sympy-patches/browse_thread/thread/e0f5ceb33828d31c or download from my git repo, branch curvi: http://github.com/certik/sympy I implemented it as an example, here is how the output looks like (unfortunately wiki.sympy.org doesn't seem to handle unicode): http://code.google.com/p/sympy/wiki/CurvilinearCoordinates Currently I added examples of: polar, cylindrical, spherical, rotating disk, parabolic and elliptic coordinates. It calculates the Jacobi matrix, metric tensor, Laplace operator etc. Couple ideas for improvement: * the partial derivatives should be printed with the partial sign * the trigsimp function should be improved, as it can't simplify the metric tensor for spherical coordinates * more information could be added, like other operators, Christoffel symbols, etc. * it could optionally produce images of the coordinates, as are on the wikipedia If anyone is interested in improving it, feel free to go ahead. Thorough explanation of the mathematical machinery behind all of this is in my differential geometry notes here: http://github.com/certik/differential-geometry/raw/master/geom.pdf If you have any questions, just ask. Ondrej --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sympy?hl=en -~----------~----~----~----~------~----~------~--~---
