Maple Worksheets

The worksheets below are written in Maple 9. They may not run properly in earlier versions of Maple. To use one, click on it to open it. You will see a forbidding screenful of "Maple text". Save it in a convenient directory, with extension .mw -- then open Maple, and from Maple open the saved file. It should appear as a normal Maple worksheet.

1. forms.mw illustrates a selection of elementary and not-so-elementary operations, beginning with the all-important "diff" for taking derivatives. We create a vector, address components of it, attempt to make it a "vector field" (possible only after loading the VectorCalculus package), take its curl, specify spherical coordinates, note the curl in spherical coordinates, and finally introduce procs to handle differential forms. These are vector fields as far as Maple is concerned, which means the notation is very defective, and requires considerable explanation and thought -- a not very nice situation, but not unuseable. We finish with the Laplacian operator in terms of differential forms, spherical coordinates.