Plot3d in this worksheet calls a procedure which conditionally returns the values for a parametrically defined ellipsoid, but the plot command fails. However the procedure passes the correct list of parametric values when it is called directly.

Is there a way to call a procedure within plot3d which successfully plots a parametrically defined surface?

Plot3d_proc_parametric.mw

The edges of the red and blue surfaces are ragged. Can they be made smoother when displayed?

Intersecting_surfaces.mw

I would like procedure P to perform inside the map statement exactly as it does outside the map statement. Can this be done?

Map_Procedure.mw

The following website contains worksheets written in an early version of Maple.

http://www.yorku.ca/marko/ComPhys/

I would like to import worksheets 5.1 and 5.2 and work with them in Maple 2016. Is this possible?

Clicking on the worksheet id, e.g. 5.1, displays an .mws worksheet written in HTML which is not supported as an import format.

I am beginning to study Special Relativity and Classical Field Theory - The Theoretical Minimum by Leonard Susskind and Art Friedman.

The book's notation for a 4-Vector is X superscript mu. Its components are X superscripts 0, 1, 2 and 3 which, in sequence, refer to t(ime), x, y and z.

Proper time, tau, is defined using these vector components in that sequence.

The book's notation for 4-Velocity is U superscript mu with components U superscripts 0 thru 3. U superscript zero is defined to be the derivative of X superscript zero with respect to tau i.e. dt/dtau and the remaining U components follow this pattern.

As a beginner in this area, which Maple packages/commands would most easily and clearly implement this notation in a Maple worksheet?