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by asdflkj 6704 days ago
I agree about the zig-zag path, but I don't think it necessarily means you should study calculus before set theory (for example). Only that you shouldn't delve too deep on your fist pass over set theory. Obviously, AOC independence proof would not be suitable for high school students. But it doesn't take much effort to understand what a function is in terms of sets. And don't they teach Venn diagrams to kids in grade school? That's already set theory.
2 comments

along these lines check out: Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by Hubbard and Hubabrd

http://www.amazon.com/Vector-Calculus-Linear-Algebra-Differe...

Yeah fair enough