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 -