rossant/awesome-math ? reverse-engineered prompt

I want to create a central hub for math resources. It should be a single, long page that acts as a curated list of awesome links for anyone wanting to learn mathematics. I'll provide the links and descriptions, but you should build the main structure.

The page needs a clear organization. Let's have sections for general resources like learning platforms, YouTube channels, and tools. Then, let's create a big section called "Branches of Mathematics" with subsections for all the major fields: algebra, analysis, geometry, probability, and so on. Some of these should have their own sub-subsections, like "Linear Algebra" under "Algebra."

At the very top, please add a table of contents that links to all these different sections. It's really important that this table of contents can be updated automatically as I add more categories later. Let's also make sure there's a simple way to mark paid resources with a dollar sign icon.