most citedFull Algebra of Generalized Functions and Non-Standard Asymptotic Analysis

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math.CA2008

A Lost Theorem: Definite Integrals in Asymptotic Setting

Ray Cavalcante, Todor D. Todorov

We present a simple yet rigorous theory of integration that is based on two axioms rather than on a construction involving Riemann sums. With several examples we demonstrate how to…