The Society is a Portuguese organization, established on December 12, 1940, whose targets are the advancement of training and the spread and advancement of numerical exploration in Portugal. SPM is in charge of the version of logical diary Portugaliæ Mathematica, Boletim SPM, Gazeta de Matemática and a few books. Its exercises incorporate the association of congresses, gatherings, exploratory gatherings and instructional classes for instructors. SPM arranges the Portuguese Mathematical Olympiad and it additionally advances the TV program "This is arithmetic", communicate on SIC Notícias and SIC International. It unites instructors and math specialists inspired by the advancement of the control in the nation. Contacts were made with outside mathematicians and numerical social orders and Fréchet went to Portugal at the welcome of the Society who made him a privileged part. Regardless of these verging on outlandish conditions the Portuguese Mathematical Society managed maintain a strategic distance from aggregate elimination, despite the fact that it couldn't work in any significant way. The political circumstance changed in 1974. On 25 April the fascism was ousted by an upset and majority rules system was re-established with a general decision held in April 1975. The Portuguese Mathematical Society turned into a legitimate substance in 1977 and by and by could start to work in the way it wished to advance the numerical sciences at all levels all through Portugal. Portugaliae Mathematica had been distributed since 1939 and kept on being distributed through the dim years when the Society couldn't work. Be that as it may, with the Society prospering once more, it assumed control of the diary. The Society went up against its part of arranging gatherings and meetings. The Society likewise started the work of setting up Olympiad rivalries in 1980, the main countries such rivalries being three years after the fact. The principal Portuguese group took part in the International Olympiad rivalry without precedent for 1989.