Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century

Detalhes bibliográficos
Autor(a) principal: Biacino, Loredana
Data de Publicação: 2019
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Transversal (Belo Horizonte)
Texto Completo: https://periodicos.ufmg.br/index.php/transversal/article/view/34812
Resumo: In (Biacino 2018) the evolution of the concept of real function of a real variable at the beginning of 1900 is outlined, reporting the discussions and the polemics, in which some young French mathematicians of those years as Baire, Borel and Lebesgue were involved, about what had to be considered a genuine real function. In this paper, I consider in particular the contribution to real analysis theory done by some Italian mathematicians as Volterra, Peano, Ascoli, Arzelà, etc., in the last decades of nineteenth century before the introduction of measure and integration theory by Lebesgue.
id UFMG-26_cfa6a74f61d7a7bb2f150cfe2d7f19a2
oai_identifier_str oai:periodicos.ufmg.br:article/34812
network_acronym_str UFMG-26
network_name_str Transversal (Belo Horizonte)
repository_id_str
spelling Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth CenturyIntegrable functions in Riemann’s senseNowhere dense subsetsOuter contentPeano-Jordan measureReduction of double integralsTerm by term integrationIn (Biacino 2018) the evolution of the concept of real function of a real variable at the beginning of 1900 is outlined, reporting the discussions and the polemics, in which some young French mathematicians of those years as Baire, Borel and Lebesgue were involved, about what had to be considered a genuine real function. In this paper, I consider in particular the contribution to real analysis theory done by some Italian mathematicians as Volterra, Peano, Ascoli, Arzelà, etc., in the last decades of nineteenth century before the introduction of measure and integration theory by Lebesgue.Universidade Federal de Minas Gerais2019-12-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufmg.br/index.php/transversal/article/view/3481210.24117/2526-2270.2019.i7.02Transversal: International Journal for the Historiography of Science; No. 7 (2019): Historiography of Science and History of ScienceTransversal: International Journal for the Historiography of Science; Núm. 7 (2019): Historiography of Science and History of ScienceTransversal: International Journal for the Historiography of Science; No 7 (2019): Historiography of Science and History of ScienceTransversal: International Journal for the Historiography of Science; n. 7 (2019): Historiography of Science and History of Science2526-2270reponame:Transversal (Belo Horizonte)instname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGenghttps://periodicos.ufmg.br/index.php/transversal/article/view/34812/27495Copyright (c) 2019 Loredana Biacinohttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessBiacino, Loredana 2021-07-26T19:46:09Zoai:periodicos.ufmg.br:article/34812Revistahttps://periodicos.ufmg.br/index.php/transversal/indexPUBhttps://periodicos.ufmg.br/index.php/transversal/oaimauroconde@ufmg.br2526-22702526-2270opendoar:2021-07-26T19:46:09Transversal (Belo Horizonte) - Universidade Federal de Minas Gerais (UFMG)false
dc.title.none.fl_str_mv Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century
title Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century
spellingShingle Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century
Biacino, Loredana
Integrable functions in Riemann’s sense
Nowhere dense subsets
Outer content
Peano-Jordan measure
Reduction of double integrals
Term by term integration
title_short Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century
title_full Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century
title_fullStr Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century
title_full_unstemmed Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century
title_sort Contribution of Italian Mathematicians to Real Analysis in the last Decades of Nineteenth Century
author Biacino, Loredana
author_facet Biacino, Loredana
author_role author
dc.contributor.author.fl_str_mv Biacino, Loredana
dc.subject.por.fl_str_mv Integrable functions in Riemann’s sense
Nowhere dense subsets
Outer content
Peano-Jordan measure
Reduction of double integrals
Term by term integration
topic Integrable functions in Riemann’s sense
Nowhere dense subsets
Outer content
Peano-Jordan measure
Reduction of double integrals
Term by term integration
description In (Biacino 2018) the evolution of the concept of real function of a real variable at the beginning of 1900 is outlined, reporting the discussions and the polemics, in which some young French mathematicians of those years as Baire, Borel and Lebesgue were involved, about what had to be considered a genuine real function. In this paper, I consider in particular the contribution to real analysis theory done by some Italian mathematicians as Volterra, Peano, Ascoli, Arzelà, etc., in the last decades of nineteenth century before the introduction of measure and integration theory by Lebesgue.
publishDate 2019
dc.date.none.fl_str_mv 2019-12-27
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufmg.br/index.php/transversal/article/view/34812
10.24117/2526-2270.2019.i7.02
url https://periodicos.ufmg.br/index.php/transversal/article/view/34812
identifier_str_mv 10.24117/2526-2270.2019.i7.02
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufmg.br/index.php/transversal/article/view/34812/27495
dc.rights.driver.fl_str_mv Copyright (c) 2019 Loredana Biacino
https://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2019 Loredana Biacino
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.source.none.fl_str_mv Transversal: International Journal for the Historiography of Science; No. 7 (2019): Historiography of Science and History of Science
Transversal: International Journal for the Historiography of Science; Núm. 7 (2019): Historiography of Science and History of Science
Transversal: International Journal for the Historiography of Science; No 7 (2019): Historiography of Science and History of Science
Transversal: International Journal for the Historiography of Science; n. 7 (2019): Historiography of Science and History of Science
2526-2270
reponame:Transversal (Belo Horizonte)
instname:Universidade Federal de Minas Gerais (UFMG)
instacron:UFMG
instname_str Universidade Federal de Minas Gerais (UFMG)
instacron_str UFMG
institution UFMG
reponame_str Transversal (Belo Horizonte)
collection Transversal (Belo Horizonte)
repository.name.fl_str_mv Transversal (Belo Horizonte) - Universidade Federal de Minas Gerais (UFMG)
repository.mail.fl_str_mv mauroconde@ufmg.br
_version_ 1754913651100221440

Registros relacionados