Article ID: CBB000933627

Ecuaciones cuadráticas y procedimientos algorítmicos. Diofanto y las matemáticas en Mesopotamia (2008)

unapi

In this paper I present a comparative analysis among the diverse procedures invented respectively by the Babylonian mathe-maticians 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. Keywords: Mesopotamian mathematics, Diophantus of Alexandria, ancient algebra, algorithms, quadratic equations.

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https://data.isiscb.org/isis/citation/CBB000933627/

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Authors & Contributors
Muroi, Kazuo
Høyrup, Jens
Zhao, Jiwei
Williams, Clemency J.
Wang, Peng-yun
Thomaidis, Yannis
Journals
Sciamvs: Sources and Commentaries in Exact Sciences
Historia Mathematica
Centaurus: International Magazine of the History of Mathematics, Science, and Technology
Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Science in Context
Historia Scientiarum: International Journal of the History of Science Society of Japan
Publishers
Hempen Verlag
World Scientific
Springer
Johns Hopkins University Press
Brill
Alfred A. Knopf
Concepts
Mathematics
Algebra
Equations and formulae
Astronomy
Eclipses; transits; occultations; conjunctions
Cross-cultural interaction; cultural influence
People
Diophantos of Alexandria
Euclid
Time Periods
Ancient
Medieval
3rd century
Places
Middle and Near East
Mesopotamia
Greece
Rome (Italy)
India
Egypt
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