A difícil aceitação dos números negativos: um estudo da teoria dos números de Peter Barlow (1776-1862)

The present study seeks to present a historico-epistemological analysis of the development of the mathematical concept of negative number. In order to do so, we analyzed the different forms and conditions of the construction of mathematical knowledge in different mathematical communities and, thus, identified the characteristics in the establishment of this concept. By understanding the historically constructed barriers, especially, the ones having ontologicas significant, that made the concept of negative number incompatible with that of natural number, thereby hindering the development of the concept of negative, we were able to sketch the reasons for the rejection of negative numbers by the English author Peter Barlow (1776 -1862) in his An Elementary Investigation of the Theory of Numbers, published in 1811. We also show the continuity of his difficulties with the treatment of negative numbers in the middle of the nineteenth century

DINÂMICAS MERCANTIS COLONIAIS : Capitania do Rio Grande do Norte (1760-1821)

The size and dynamics of the market producer, consumer and exporter of the Captaincy of Rio Grande do Norte, in the period between 1760 and 1821 is the primary goal of this dissertation. In order to establish relations between the founding of new towns built from 1750 and its incorporation into the water supply and domestic market, showing more specifically the colonial economic relations established between the coast and the hinterland of the Province. Based on references by authors such as Edward Shils and Immanuel Wallerstein have investigated topics such as formation of colonial space, deployment-action of colonial institutions regarding business practices, and the dynamic market of the Province of Rio Grande do Norte.