The calculus

From greek geometry to the present day

Abstract

This work has the purpose of presenting a brief synthesis of the origin of the infinitesimal calculus from an epistemological point of view. The calculus, beyond a set of cold mathematical rules, is a compendium of ideas and philosophies that have evolved and been perfected over the centuries. To make a brief journey from the need of humanity for mathematics to the current calculus, passing through the Greek geometry and the analytical method of the Renaissance, allows us to place this discipline in a more human and less abstract context. In the teaching-learning process of mathematics, we usually choose the operational way. And although there is no doubt that it is the right thing to do, it is also necessary to be clear that this powerful tool, product of the human thinking, was not built from one day to the next. Calculus is the product of a long walk and the life itself of many people who are still influencing our days.