Article ID: CBB000772444

The Way of Diophantus: Some Clarifications on Diophantus' Method of Solution (2007)

unapi

In the introduction of the Arithmetica Diophantus says that in order to solve arithmetical problems one has to follow the way he (Diophantus) will show. The present paper has a threefold objective. Firstly, the meaning of this sentence is discussed, the conclusion being that Diophantus had elaborated a program for handling various arithmetical problems. Secondly, it is claimed that what is analyzed in the introduction is definitions of several terms, the exhibition of their symbolism, the way one may operate with them, but, most significantly, the main stages of the program itself. And thirdly, it is argued that Diophantus' intention in the Arithmetica is to show the way the stages of his program should be practically applied in various arithmetical problems.

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Authors & Contributors
Thomaidis, Yannis
Christianidis, Jean P.
M. Rosa Massa-Esteve
Francaviglia, Mauro
Ezra Brown
Mellado-Romero, Antonio
Journals
Archive for History of Exact Sciences
NTM: Zeitschrift für Geschichte der Naturwissenschaften, Technik und Medizin
Historia Mathematica
British Society for the History of Mathematics Bulletin
Technai, An International Journal for Ancient Science and Technology
Theoria (0495-4548)
Publishers
Springer
Catholic University of America
Concepts
Mathematics
Arithmetic
Algebra
Geometry
Equations and formulae
Number theory; number concept
People
Diophantos of Alexandria
Euclid
Pappus of Alexandria
Bashmakova, Isabella Grigoryevna
Fermat, Pierre de
Plato
Time Periods
Ancient
Medieval
3rd century
18th century
Song-Yuan dynasties (China, 960-1368)
Early modern
Places
Greece
Rome (Italy)
Alexandria (Egypt)
Middle and Near East
Ancient Near and Middle East: Egypt, Sumer, Babylon, Assyria, Mesopotamia, Palestine, Persia
China
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