Archimedes’ Proof of the Circular Area

We consider the proof of Archimedes – exhausting the circle from above and below by a sequence of polygon approximations; this construction is compared to that of a most basic integral on the real line.

In the second note we consider notions of analysis including Cantor’s countability, i.e. equivalence at infinity, along with a brief note on the epsilon-analysis of Weierstrass. We then move into a development of the fundamental theorem of calculus.

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