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Ecuaciones cuadráticas y procedimientos algorítmicos: Diofanto y las matemáticas en Mesopotamia

Yuste, Piedad (2008) Ecuaciones cuadráticas y procedimientos algorítmicos: Diofanto y las matemáticas en Mesopotamia. THEORIA. An International Journal for Theory, History and Foundations of Science, 23 (2). pp. 219-244. ISSN 2171-679X

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Abstract

En este ensayo presento un análisis comparativo entre los diversos procedimientos creados, respectiva-mente, por los matemáticos babilonios y Diofanto de Alejandría para resolver ecuaciones de segundo gra-do. Observaremos cómo los primeros recurrieron a la composición de diagramas mientras Diofanto aplicó un algoritmo abstracto que no consiguió generalizar.

In this paper I present a comparative analysis among the diverse procedures invented respectively by the Babylonian mathematicians and Diophantus of Alexandria to solve quadratic equations. We will observe how the first ones appealed to the composition of diagrams while Diophantus applied an abstract algorithm that he was not able to generalize.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Yuste, Piedadpyuste@bec.uned.es
Additional Information: ISSN: 0495-4548 (print)
Keywords: matemáticas en Mesopotamia, álgebra, Diofanto de Alejandría, ecuaciones cuadráticas, algoritmos, Mesopotamian mathematics, Diophantus of Alexandria, ancient algebra, algorithms, quadratic equations
Depositing User: Users 15304 not found.
Date Deposited: 28 Feb 2014 00:32
Last Modified: 28 Feb 2014 00:32
Item ID: 10397
Journal or Publication Title: THEORIA. An International Journal for Theory, History and Foundations of Science
Publisher: Euskal Herriko Unibertsitatea / Universidad del País Vasco
Official URL: http://www.ehu.es/ojs/index.php/THEORIA/article/vi...
DOI or Unique Handle: https://doi.org/10.1387/theoria.396
Date: November 2008
Page Range: pp. 219-244
Volume: 23
Number: 2
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/10397

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