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 revistaArtículo

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

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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 revistaArtículo

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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.

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DO - 10.12802/relime.13.1813

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JO - Revista Latinoamericana de Investigacion en Matematica Educativa

JF - Revista Latinoamericana de Investigacion en Matematica Educativa

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