Questions relating changing coordinate systems of numerical points and analytical expression including vector fields and vector analysis.

Changing Coordinate Systems

Changing coordinate systems can involve two very different operations. One is recomputing coordinate values that correspond to the same point. The other is re-expressing a field in terms of new variables. The Wolfram Language provides functions to perform both these operations.

CoordinateTransformData[transf,"Mapping"] the mapping between coordinate systems as a pure function.

CoordinateTransformData[transf,"Mapping",pt] the new coordinate values of pt

CoordinateTransform[transf,pt] the new coordinate values of pt