The integral: a vision of its evolution through time I

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 i...

Full description

Bibliographic Details
Main Author: Alejandro Ortiz Fernández
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2023-07-01
Series:Selecciones Matemáticas
Subjects:
Online Access:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5320
_version_ 1797742689401176064
author Alejandro Ortiz Fernández
author_facet Alejandro Ortiz Fernández
author_sort Alejandro Ortiz Fernández
collection DOAJ
description 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.
first_indexed 2024-03-12T14:44:11Z
format Article
id doaj.art-a2669b3e04a34c79a9374cfa4e29c3e7
institution Directory Open Access Journal
issn 2411-1783
language Spanish
last_indexed 2024-03-12T14:44:11Z
publishDate 2023-07-01
publisher Universidad Nacional de Trujillo
record_format Article
series Selecciones Matemáticas
spelling doaj.art-a2669b3e04a34c79a9374cfa4e29c3e72023-08-16T02:44:27ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832023-07-01100117319810.17268/sel.mat.2023.01.16The integral: a vision of its evolution through time IAlejandro Ortiz Fernández0https://orcid.org/0000-0002-9380-4301Sección Matemática. Pontificia Universidad Católica del Perú, Lima, Perú.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.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5320integral of cauchyintegral of riemannintegral of stieltjesintegral of dirichletmeasure of borelmeasure of lebesgue
spellingShingle Alejandro Ortiz Fernández
The integral: a vision of its evolution through time I
Selecciones Matemáticas
integral of cauchy
integral of riemann
integral of stieltjes
integral of dirichlet
measure of borel
measure of lebesgue
title The integral: a vision of its evolution through time I
title_full The integral: a vision of its evolution through time I
title_fullStr The integral: a vision of its evolution through time I
title_full_unstemmed The integral: a vision of its evolution through time I
title_short The integral: a vision of its evolution through time I
title_sort integral a vision of its evolution through time i
topic integral of cauchy
integral of riemann
integral of stieltjes
integral of dirichlet
measure of borel
measure of lebesgue
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5320
work_keys_str_mv AT alejandroortizfernandez theintegralavisionofitsevolutionthroughtimei
AT alejandroortizfernandez integralavisionofitsevolutionthroughtimei