In this article we answer some questions that we have made on and around the historical emergence of elliptic functions in the first half of the nineteenth century. First, we want to determine the most relevant forces that produced tensions in the discipline during the period considered. To do this,...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2015
- Institución:
- Universidad de Medellín
- Repositorio:
- Repositorio UDEM
- Idioma:
- spa
- OAI Identifier:
- oai:repository.udem.edu.co:11407/1550
- Acceso en línea:
- http://hdl.handle.net/11407/1550
- Palabra clave:
- Abel
Elliptic functions and integral
Galois theory
Jacobi
Mathematics history
- Rights
- restrictedAccess
- License
- http://purl.org/coar/access_right/c_16ec
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2015-12-17T19:27:45Z2015-12-17T19:27:45Z201516652436http://hdl.handle.net/11407/155010.12802/relime.13.1813In this article we answer some questions that we have made on and around the historical emergence of elliptic functions in the first half of the nineteenth century. First, we want to determine the most relevant forces that produced tensions in the discipline during the period considered. To do this, we propose an explanatory hypothesis on the overturning in the field of mathematical thinking that resulted when the functions were preferred instead of the elliptic integrals. This hypothesis is rooted in the state of “Analysis” and “Algebra” during the emergence time. Then we show that the constructions of Abel and Jacobi for the elliptic functions support our working hypothesis. Finally, we outline some conclusions concerning our reflections. © 2015, Comite Latinoamericano de Matematica Educativa. All rights reserved.spaComite Latinoamericano de Matematica Educativahttp://clame.org.mx/relime/201503a.pdfRevista Latinoamericana de Investigacion en Matematica Educativa, 2015, volume 18, issue 1, pp 77-108ScopusArticleinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/access_right/c_16ecUniversidad del Tolima, Ibagué, ColombiaUniversidad de Medellín, ColombiaUniversidad de Antioquia, ColombiaSolanilla Chavarro L.Tamayo Acevedo A.C.Pareja Ocampo G.A.AbelElliptic functions and integralGalois theoryJacobiMathematics historyMemory about the Elliptic functions’s emergence [Memoria sobre la emergencia de las funciones elípticas]11407/1550oai:repository.udem.edu.co:11407/15502020-05-27 17:46:24.038Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co |
| dc.title.english.eng.fl_str_mv |
Memory about the Elliptic functions’s emergence [Memoria sobre la emergencia de las funciones elípticas] |
| dc.contributor.affiliation.spa.fl_str_mv |
Universidad del Tolima, Ibagué, Colombia Universidad de Medellín, Colombia Universidad de Antioquia, Colombia |
| dc.subject.keyword.eng.fl_str_mv |
Abel Elliptic functions and integral Galois theory Jacobi Mathematics history |
| topic |
Abel Elliptic functions and integral Galois theory Jacobi Mathematics history |
| spellingShingle |
Abel Elliptic functions and integral Galois theory Jacobi Mathematics history |
| description |
In this article we answer some questions that we have made on and around the historical emergence of elliptic functions in the first half of the nineteenth century. First, we want to determine the most relevant forces that produced tensions in the discipline during the period considered. To do this, we propose an explanatory hypothesis on the overturning in the field of mathematical thinking that resulted when the functions were preferred instead of the elliptic integrals. This hypothesis is rooted in the state of “Analysis” and “Algebra” during the emergence time. Then we show that the constructions of Abel and Jacobi for the elliptic functions support our working hypothesis. Finally, we outline some conclusions concerning our reflections. © 2015, Comite Latinoamericano de Matematica Educativa. All rights reserved. |
| publishDate |
2015 |
| dc.date.accessioned.none.fl_str_mv |
2015-12-17T19:27:45Z |
| dc.date.available.none.fl_str_mv |
2015-12-17T19:27:45Z |
| dc.date.created.none.fl_str_mv |
2015 |
| dc.type.eng.fl_str_mv |
Article |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.none.fl_str_mv |
info:eu-repo/semantics/article |
| dc.identifier.issn.none.fl_str_mv |
16652436 |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/11407/1550 |
| dc.identifier.doi.none.fl_str_mv |
10.12802/relime.13.1813 |
| identifier_str_mv |
16652436 10.12802/relime.13.1813 |
| url |
http://hdl.handle.net/11407/1550 |
| dc.language.iso.none.fl_str_mv |
spa |
| language |
spa |
| dc.relation.isversionof.spa.fl_str_mv |
http://clame.org.mx/relime/201503a.pdf |
| dc.relation.ispartofen.eng.fl_str_mv |
Revista Latinoamericana de Investigacion en Matematica Educativa, 2015, volume 18, issue 1, pp 77-108 |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_16ec |
| dc.rights.accessrights.none.fl_str_mv |
info:eu-repo/semantics/restrictedAccess |
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restrictedAccess |
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http://purl.org/coar/access_right/c_16ec |
| dc.publisher.spa.fl_str_mv |
Comite Latinoamericano de Matematica Educativa |
| dc.source.spa.fl_str_mv |
Scopus |
| institution |
Universidad de Medellín |
| repository.name.fl_str_mv |
Repositorio Institucional Universidad de Medellin |
| repository.mail.fl_str_mv |
repositorio@udem.edu.co |
| _version_ |
1814159182519074816 |