Opened 3 years ago

Last modified 2 years ago

## #27703 closed enhancement

# Tutorial about vector calculus — at Initial Version

Reported by: | egourgoulhon | Owned by: | |
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Priority: | major | Milestone: | sage-8.9 |

Component: | documentation | Keywords: | vector calculus, Euclidean space |

Cc: | mforets, kcrisman, tscrim | Merged in: | |

Authors: | Eric Gourgoulhon | Reviewers: | |

Report Upstream: | N/A | Work issues: | |

Branch: | Commit: | ||

Dependencies: | Stopgaps: |

### Description

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

The tutorial is divived in six parts. The first three ones regard vector calculus in the 3-dimensional Euclidean space **E**^{3} in a given coordinate system (respectively Cartesian, spherical and cylindrical coordinates). The fourth part is devoted to changes between the above three coordinate systems. The fifth part presents some advanced aspects, namely the treatment of **E**^{3} as a Riemannian manifold. Finally, the last part is devoted to 2-dimensional vector calculus, using both Cartesian and polar coordinates in the Euclidean plane **E**^{2} , and combines various features of the first five parts.

A preview of the tutorial is available here.

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