> I think a real problem in this area is the belief that there is "one true notation" and that everything is unambiguous and clearly defined.

Just to back up this point: In probably every university-level math book I've read, they introduce and explain all the notation used. In the preface and/or as concepts are introduced.

There are lists at wikipedia [1] and other places, but I'm not sure how valuable it is out of context.

[1] https://en.wikipedia.org/wiki/Glossary_of_mathematical_symbo...