The integral: a vision of its evolution through time I

Abstract

This article is the first part of one that has three parts. In the first one we present a vision of the evolution of the idea of integral, from ancient Greece to the Lebesgue integral. In the second part we will present how the Riemann integral has been investigated towards a unified theory of the integral.

Keywords

• integral of cauchy
• integral of riemann
• integral of stieltjes
• integral of dirichlet
• measure of borel
• measure of lebesgue