gedymin comments on The "best" mathematically-informed topics? - Less Wrong Discussion
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Where did you get the Khan Academy image? Could I see the full version?
A dependencies graph would be of great philosophical and practical interest.
After compiling a list of topics, the next step is to figure our what math underpins each one, and order them according to increasing assumed mathematical knowledge.
You could assemble a partial dependency graph by looking at the course pages of different math departments and noting which courses are listed as prerequisites for more advanced courses.
Yes, although that wouldn't include the applied math that I'm looking for.