Grad[f] gives the gradient, \[Del]f, of the scalar function f in the default coordinate system. Grad[f, coordsys] gives the gradient of f in the coordinate system coordsys.

There are many Mathematica packages that implement symbolic mathematical operations. Here are a few examples drawn from the standard set of packages distributed with ...

Other tutorials have discussed explicit loading of Mathematica packages using <<package and Needs[package]. Sometimes, however, you may want to set Mathematica up so that it ...

All the functionality in Calculus`VectorAnalysis` is now available through the newly created Vector Analysis Package.

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 ...

Some operators used in basic arithmetic and algebra. Note that the  for ∖[Cross] is distinguished by being drawn slightly smaller than the × for ∖[Times]. Interpretation of ...

Laplacian[f] gives the Laplacian, \[Del]^2 f, of the scalar function or vector field f in the default coordinate system. Laplacian[f, coordsys] gives the Laplacian of f in ...

ScaleFactors[pt] gives a list of the scale factors at the point pt in the default coordinate system. ScaleFactors[pt, coordsys] gives a list of the scale factors in the ...

Frequently, physical systems exhibit special symmetries or structures that make a particular coordinate system especially useful. In a mathematically elegant solution to ...