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Textes & documents - A new source for medieval mathematics in the iberian peninsula: the commercial arithmetic in Ms 10106 (Biblioteca Nacional, Madrid)

Javier Docampo Rey (2009)

Revue d'histoire des mathématiques

This paper contains a critical edition of a short commercial arithmetic written in Castilian (ca. 1400). The manuscript has certain characteristic features, like the presence of composite fractions, that distinguishes it from other known treatises of the Iberian peninsula. The document appears to improve considerably our knowledge of the origins and the transmission of vernacular commercial arithmetic in Europe.

The fundamental theorem of algebra before Carl Friedrich Gauss.

Josep Pla i Carrera (1992)

Publicacions Matemàtiques

This is a paper about the first attemps of demonstration of the fundamental theorem of algebra.Before, we analyze the tie between complex numbers and the number of roots of an equation of n-th degree.In the second paragraph, we see the relation between integration and the fundamental theorem.Finally, we observe the linear differential equation with constant coefficients and Euler's position about the fundamental theorem, and then we consider d'Alembert's, Euler's and Laplace's demonstrations.It...

Thomas Harriot on Combinations

Ian Maclean (2005)

Revue d'histoire des mathématiques

Thomas Harriot (1560?–1621) is known today as an innovative mathematician and a natural philosopher with wide intellectual horizons. This paper will look at his interest in combinations in three contexts: language (anagrams), natural philosophy (the question of atomism) and mathematics (number theory), in order to assess where to situate him in respect of three current historiographical debates: 1) whether there existed in the late Renaissance two opposed mentalities, the occult and the scientific;...

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