most citedReduction of the Number of Quantifiers in Real Analysis through Infinitesimals (Master Thesis, Mathematics Department, California Polytechnic State University, San Luis Obispo)

10 citations · 10 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2008★ 10 cited

Reduction of the Number of Quantifiers in Real Analysis through Infinitesimals (Master Thesis, Mathematics Department, California Polytechnic State University, San Luis Obispo)

Raymond Cavalcante

We construct the non-standard complex (and real) numbers using the ultrapower method in the spirit of Cauchy's construction of the real numbers. We show that the non-standard compl…

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…