CoordinatesFromCartesian[pt] gives the coordinates in the default coordinate system of the point pt given in Cartesian coordinates. CoordinatesFromCartesian[pt, coordsys] ...

Coordinates[] gives a list of the default coordinate variables in the default coordinate system. Coordinates[coordsys] gives a list of the default coordinate variables in the ...

CoordinatesToCartesian[pt] gives the Cartesian coordinates of the point pt given in the default coordinate system. CoordinatesToCartesian[pt, coordsys] gives the Cartesian ...

CoordinateSystem gives the name of the default coordinate system.

CrossProduct[v_1, v_2] gives the cross product of the two 3-vectors v_1, v_2 in the default coordinate system. CrossProduct[v_1, v_2, coordsys] gives the cross product of v_1 ...

Curl[f] gives the curl, \[Del]*f, of the vector field f in the default coordinate system. Curl[f, coordsys] gives the curl of f in the coordinate system coordsys.

Div[f] gives the divergence, \[Del]\[CenterDot]f, of the vector field f in the default coordinate system. Div[f, coordsys] gives the divergence of f in the coordinate system ...

ParameterRanges[] gives the intervals over which each the of the parameters in the default coordinate system may range. ParameterRanges[coordsys] gives the ranges for each of ...

Parameters[] gives a list of the default parameters of the default coordinate system. Parameters[coordsys] gives a list of the default parameters in the coordinate system ...

SetCoordinates[coordsys] sets the default coordinate system to be coordsys with default variables. SetCoordinates[coordsys[c_1, c_2, c_3]] sets the default coordinate system ...