Memory about the Elliptic functions’s emergence

Leonardo Solanilla Chavarro, Ana Celi Tamayo Acevedo, Gabriel Antonio Pareja Ocampo

Resultado de la investigación: Contribución a una revista › Artículo

Resumen

© 2015, Comite Latinoamericano de Matematica Educativa. All rights reserved. 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.
Idioma originalInglés estadounidense
Páginas (desde-hasta)77-108
Número de páginas32
PublicaciónRevista Latinoamericana de Investigacion en Matematica Educativa
DOI
EstadoPublicada - 1 ene 2015

Huella dactilar

nineteenth century
time

Citar esto

Solanilla Chavarro, Leonardo ; Tamayo Acevedo, Ana Celi ; Pareja Ocampo, Gabriel Antonio. / Memory about the Elliptic functions’s emergence. En: Revista Latinoamericana de Investigacion en Matematica Educativa. 2015 ; pp. 77-108.
@article{dd1b7344e74746b0a590f74f85dde4d5,
title = "Memory about the Elliptic functions’s emergence",
abstract = "{\circledC} 2015, Comite Latinoamericano de Matematica Educativa. All rights reserved. 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.",
author = "{Solanilla Chavarro}, Leonardo and {Tamayo Acevedo}, {Ana Celi} and {Pareja Ocampo}, {Gabriel Antonio}",
year = "2015",
month = "1",
day = "1",
doi = "10.12802/relime.13.1813",
language = "American English",
pages = "77--108",
journal = "Revista Latinoamericana de Investigacion en Matematica Educativa",
issn = "1665-2436",
publisher = "Latinoamericano de Matematica Educativa",

}

Solanilla Chavarro, L, Tamayo Acevedo, AC & Pareja Ocampo, GA 2015, 'Memory about the Elliptic functions’s emergence', Revista Latinoamericana de Investigacion en Matematica Educativa, pp. 77-108. https://doi.org/10.12802/relime.13.1813

Memory about the Elliptic functions’s emergence. / Solanilla Chavarro, Leonardo; Tamayo Acevedo, Ana Celi; Pareja Ocampo, Gabriel Antonio.

En: Revista Latinoamericana de Investigacion en Matematica Educativa, 01.01.2015, p. 77-108.

Resultado de la investigación: Contribución a una revista › Artículo

TY - JOUR

T1 - Memory about the Elliptic functions’s emergence

AU - Solanilla Chavarro, Leonardo

AU - Tamayo Acevedo, Ana Celi

AU - Pareja Ocampo, Gabriel Antonio

PY - 2015/1/1

Y1 - 2015/1/1

N2 - © 2015, Comite Latinoamericano de Matematica Educativa. All rights reserved. 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.

AB - © 2015, Comite Latinoamericano de Matematica Educativa. All rights reserved. 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.

U2 - 10.12802/relime.13.1813

DO - 10.12802/relime.13.1813

M3 - Article

SP - 77

EP - 108

JO - Revista Latinoamericana de Investigacion en Matematica Educativa

JF - Revista Latinoamericana de Investigacion en Matematica Educativa

SN - 1665-2436

ER -

Solanilla Chavarro L, Tamayo Acevedo AC, Pareja Ocampo GA. Memory about the Elliptic functions’s emergence. Revista Latinoamericana de Investigacion en Matematica Educativa. 2015 ene 1;77-108. https://doi.org/10.12802/relime.13.1813

Acceso al documento