On a few Diophantine equations, in particular, Fermat's Last Theorem.
Levesque, C. (2003)
International Journal of Mathematics and Mathematical Sciences
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Levesque, C. (2003)
International Journal of Mathematics and Mathematical Sciences
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This article concerns the problem of solving diophantine equations in rational numbers. It traces the way in which the 19th century broke from the centuries-old tradition of the purely algebraic treatment of this problem. Special attention is paid to Sylvester’s work “On Certain Ternary Cubic-Form Equations” (1879–1880), in which the algebraico-geometrical approach was applied to the study of an indeterminate equation of third degree.