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math.DG2024
Towards a geometric theory of integration
Filip Bár
Integration is the final key step when turning an infinitesimal argument into a result applicable to quantities of finite size. Conceptually, it is about combining infinitesimal co…
math.GM2024
The Fundamental Theorem of Calculus in higher dimensions
Filip Bár
We generalise the Fundamental Theorem of Calculus to higher dimensions. Our generalisation is based on the observation that the antiderivative of a function of -variables is a s…