The concepts of differential and infinitesimal on the Leibnitz’s rules of deriving

• Autor(a) principal: Sapunaru, Raquel Anna
• Data de Publicação: 2013
• Outros Autores: Souza, Bárbara Emanuella, Pelli, Débora, Santiago, Douglas Frederico Guimarães
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Revista de Ensino de Ciências e Matemática - REnCiMa
• Texto Completo: https://revistapos.cruzeirodosul.edu.br/rencima/article/view/822
• topic: Matemática; História; Infinitesimal; Mathematics; History; Infinitesimal

At present, most research in/on Exact Sciences and Technology is based on the concepts of calculations Differential and Integral, whose ideas, notations and forms of operation originated mostly in Leibniz's Philosophy. For unknown reasons, Leibniz did not make clear how much information he established certain forms of operating these calculations: they lack basic information about the method used by Leibniz in the creation of rules derived from the fundamental operations. Therefore, it is speculated that Leibniz has simply postulated these rules. From this perspective, the purpose of this article is to explain how Leibniz dealt with the concept of the infinitely small and propose a hypothesis of how he obtained the rules of differentiation. The methodology to reach the objective was based on deductive and hypothetical-deductive methods and involved accurate research at the available literature.