This ticket adds a new tutorial regarding vector calculus in Euclidean spaces, in the Thematic Tutorials section of the documentation.

The tutorial is divived in five parts. The first one regards
vector calculus in the 3-dimensional Euclidean space E³ in
Cartesian coordinates, focusing on the evaluation of the standard
vector operators. The second tutorial deals with the same topic
but based on curvilinear (spherical and cylindrical) coordinates.
The third tutorial is devoted to changes between the various coordinate systems. The fourth tutorial presents some advanced aspects, namely the treatment of E³ as a Riemannian manifold. Finally, the last tutorial is devoted to 2-dimensional vector calculus, using both Cartesian and polar coordinates in the
Euclidean plane E² ; it combines various features of the other tutorials.

A preview of the tutorial is available here.

CC: @mforets @kcrisman @tscrim

Component: documentation

Keywords: vector calculus, Euclidean space

Author: Eric Gourgoulhon

Branch/Commit: 5c8bb2f

Reviewer: Travis Scrimshaw

Issue created by migration from https://trac.sagemath.org/ticket/27703