The infinitesimals tag has no wiki summary.
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Nontrivial trivial integrals
Consider two propositions in geometry:
Circumscribe a right circular cylinder about a sphere. The surface area of the cylinder between any two planes orthogonal to the cylinder's axis equals the ...
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Nilpotent infinitesimals comparison
I'd like to understand better the advantages and disadvantages of various approaches to nilpotent infinitesimal numbers and their application to differential geometry in the context of physics and ...
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Proving $f$ is constant.
Let $f$ and $g$ be continuous function where $f,g:[a,b] \rightarrow \Bbb R $
and $\int_a^b g(x)=0$ and $\int_a^b f(x)g(x)=0$ , show that $f$ is a constant function.
I tried a bunch of things ...
