The mathematics in the Polytechnic Academy of Porto (Portugal, 1837-1911)
International audience ; The Polytechnic Academy of Porto (PAP, 1837-1911) was created in 1837, and replaced the Royal Academy of Navy and Trade Affairs of the City of Porto (RANTACP, 1803-1837). Its creation brought a new paradigm to higher education in Porto, because several engineering courses were then implemented – before that, the focus was on the formation of traders and navy sailors – and it was the first school in Portugal dedicated to engineering outside the military context (it should also be highlighted that Mathematics occupied a central role in its curricula). This work will be divided in three parts: The first part is a brief presentation of the RANTACP. In the second part, the Mathematics taught in the PAP will be presented, with special emphasis on three relevant moments of its history: its creation in 1837, the profound Reformation of 1885 which allowed its scientific apogee and its transition to the University of Porto in 1911. The third part will be a short presentation of the important Portuguese mathematician Gomes Teixeira (1851-1933) that arrived at PAP, as a professor, in 1884.