Vector calculus with SageMath
The following notebooks illustrate the vector calculus tools introduced in SageMath 8.3. They are in the Jupyter format (ipynb). The notebooks can be read directly in the browser by just clicking on their titles. They are opened in read-only mode, but you can access to an interactive version by clicking on Execute on Binder in the top right menu. Alternatively, click on [CoCalc] to view them on the CoCalc server.
To download a notebook and run it on your computer, click on [ipynb] and type
sage -n jupyter example_file.ipynb
- Vector calculus in Cartesian coordinates [ipynb] [CoCalc]
- Vector calculus in spherical coordinates [ipynb] [CoCalc]
- Vector calculus in cylindrical coordinates [ipynb] [CoCalc]
- Changing coordinates in the Euclidean 3-space [ipynb] [CoCalc] (Cartesian, spherical and cylindrical coordinates)
- The Euclidean plane [ipynb] [CoCalc] (Cartesian and polar coordinates)
- Advanced aspects [ipynb] [CoCalc] (Euclidean spaces as Riemannian manifolds)
See also the thematic tutorial Vector Calculus in Euclidean Spaces, as well as the entries Euclidean spaces and operators for vector calculus in SageMath documentation.