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A comment on Ask HN: Math books like SICP?. Parent comment
It starts off with metric spaces and Euclidean n-space. The main goal is to cover open and closed sets, convergence, and compactness.
Why? Because those topics are crucial in continuity and uniform continuity.
Why want those? Because continuous on a compact set means uniformly continuous and, thus, that the Riemann integral exists.
Any questions?
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It starts off with metric spaces and Euclidean n-space. The main goal is to cover open and closed sets, convergence, and compactness.
Why? Because those topics are crucial in continuity and uniform continuity.
Why want those? Because continuous on a compact set means uniformly continuous and, thus, that the Riemann integral exists.
Any questions?