Just some starting pointers:
See the bottom of my post here and then Tony Hirst’s (@psychemedia) post right after that one for links to great examples. This trick might help you down the road when trying to combine with text and control how it displays in Jupyter. Also see here and here for reminder about %%latex cell magic. (In regards to the %%latex use, actually see the link to use in an example notebook in this post because it seems it has to be full-blown latex code and not just simple equations that work easily elsewhere with just dollar signs bracketing them, i.e., MathJax.)
While you can combine Python’s math abilities and Jupyter’s markdown/Latex/MathJax abilities, see here, for convenience with calculations, SymPy is a package that you’ll probably want to check out. See:
- SymPy Examples
- Try the latest SymPy release directly in your browser, without installing anything
- Calculus Examples Using SymPy
- Display command output as math : IPython.display.Math? - #2 by fomightez (and entire thread actually)
- Solving for a limit with SymPy
- SymPy can even plot equations
As for writing scientific articles in it, you may want to look into Curvenote. See here. Also see the JupyterLab extension for live editing of LaTeX documents.