Changes between Version 3 and Version 13 of Ticket #27703


Ignore:
Timestamp:
05/30/19 19:52:42 (2 years ago)
Author:
egourgoulhon
Comment:

I have modified the tutorial according to your recommendations (comment:4 and comment:6). The various topics are now introduced as questions that the reader may ask (in the first three tutorials). I have merged the previous tutorials 2 (spherical coord.) and 3 (cylindrical coord.) into a single document (curvilinear coord.). I have added some plots illustrating the link between spherical and Cartesian coordinates in the third document (previously no. 4). I kept the tutorial about advanced topics in the same shape, performing only minor changes, because I did not feel putting it in the "How to" flavor. Same thing for the last document, which recaps all the previous ones, but in the 2-dimensional case.

The preview has been updated to the new version.

Legend:

Unmodified
Added
Removed
Modified
  • Ticket #27703

    • Property Commit changed from 91a721b23824c199602257ad914cf93b53e47fb3 to ce92e4c1bd975a977c540fa0c985815206898c48
  • Ticket #27703 – Description

    v3 v13  
    11This ticket adds a new tutorial regarding vector calculus in Euclidean spaces, in the ''Thematic Tutorials'' section of the documentation.
    22
    3 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.
     3The tutorial is divived in five parts. The first one regards
     4vector calculus in the 3-dimensional Euclidean space **E**^3^ in
     5Cartesian coordinates, focusing on the evaluation of the standard
     6vector operators. The second tutorial deals with the same topic
     7but based on curvilinear (spherical and cylindrical) coordinates.
     8The third tutorial is devoted to changes between the various coordinate systems. The fourth tutorial presents some advanced aspects, namely the treatment of **E**^3^ as a Riemannian manifold. Finally, the last tutorial is devoted to 2-dimensional vector calculus, using both Cartesian and polar coordinates in the
     9Euclidean plane **E**^2^ ; it combines various features of the other tutorials.
    410
    511A preview of the tutorial is available [https://sagemanifolds.obspm.fr/preview/thematic_tutorials/vector_calculus.html here].