LaTeX
This is perhaps not the answer you are looking for, but it is indeed a programming language (it is Turing complete), and it is also a language that every professional mathematician needs to learn.
One can make quite nice graphics with for loops and the similarities with more 'traditional' ...
And someone made TikZ a good programming language for mathematician's too:
My answer is: TikZ
This is a programming language, often used in combination with
LaTeX, for producing high-quality graphics.
I view this language as important for mathematicians, not because
mathematicians will use it to solve their mathemaical problems, but
rather, because mathematicians will...
@Skillmon -- but the latex team is not responsible for nearly all document classes. if you encounter this error in a package, submit a bug report to the maintainer. (i sure hope the ams classes don't spawn such a message ...)
I feel like I am screwing something up. Can I get section headings to only show one level of the numbering but references to the labels to show all levels (i.e., I.1.A)?
@marmot My feeling is that the decoupling question is really an XY question, so we probably don't have enough information to understand the aim of the question or the relation to the answer.
My answer is: TikZ
This is a programming language, often used in combination with
LaTeX, for producing high-quality graphics.
I view this language as important for mathematicians, not because
mathematicians will use it to solve their mathemaical problems, but
rather, because mathematicians will...
