The RSME was founded in 1911 by a group of mathematicians, among whom were Luis Octavio de Toledo y Zulueta and Julio Rey Pastor, under the name of the Spanish Mathematical Society. The initiative arose at the first congress of the Spanish Association for the Progress of Science (AEPC), where the convenience of establishing a mathematics society was raised.
Throughout its more than 100 years it has gone through various stages of greater or lesser activity. Since 1996, it has been in one of its most active periods, counting in August 2005 about 1700 members, among which there are individual members, as well as institutional members such as, for example, university faculties and departments and high school institutes.
It has reciprocal agreements with a large number of mathematical societies around the world. It is one of the societies that forms part of the Spanish Mathematical Committee and is an institutional member of the European Mathematical Society (EMS) and of the Confederation of Spanish Scientific Societies (COSCE).
The RSME actively collaborates with other scientific societies in Spain in various activities such as the celebration, in 2000, of the World Year of Mathematics, the preparation of the Spanish candidacy and the subsequent organization of the International Congress of Mathematicians (ICM) that was held in August 2006 in Madrid and the work of the Senate Report on the teaching of science in secondary education (2003-04 academic year).
The RSME prepares, through its various commissions, reports on topics such as the situation of mathematical research in Spain, the problems of teaching mathematics in high school, the situation of mathematics in relation to the European higher education area, professional opportunities and the participation of women in mathematical research.
In addition, it is involved in international cooperation projects: digitization of mathematical literature, support of mathematics in Latin America, among others. The society organized the first Meeting of Latin American Mathematical Societies that took place in September 2003 in Santiago de Compostela, one of the results of which was the creation of the Network of Latin American Mathematical Organizations.
Among the fixed activities of the RSME we can highlight:
Organize annually, since 1964, the Spanish Mathematical Olympiad: a competition in which the high school students who form the Spanish team that participate in the International Mathematical Olympiad and the Ibero-American one are selected and prepared. In 2004 the final phase of the Ibero-American Mathematical Olympiad was organized in Castellón, and in 2008 the final phase of the International Mathematical Olympiad was held in Madrid.
Congresses that are held approximately every two years. In them, plenary lectures are scheduled for a wide audience as well as more specialized special sessions on specific research topics in the different areas of mathematics and its applications, including the history and didactics of mathematics. Among the most prominent, in June 2003 the first joint congress with the American Mathematical Society was held in Seville, in February 2005 the first joint congress organized in collaboration with the Spanish Society of Applied Mathematics, the Statistical Society and Operative Research and the Catalan Mathematical Society, in 2007 the first joint congress with the Société Mathématique de France was held in Zaragoza, in 2009 the first joint meeting with the Mexican Mathematical Society took place in Oaxaca, which has been held every two years since then, and in 2011 it was held in Ávila in a congress commemorating the centenary of the RSME.
Scientific Sessions: two or three a year are organized on specific research topics with a duration of one day (two at the most) in different universities, they have taken place for example in Zaragoza, Salamanca, Cantabria, Barcelona, Seville, Elche, Alicante, Polytechnic of Catalonia and La Rioja.
Summer School of Mathematical Research "Lluís Santaló". It has been held at the Menéndez Pelayo International University since 2002.
School of Mathematical Education "Miguel de Guzmán", held for the first time in 2005 in La Coruña.
The Divulgamat website is a virtual center for the dissemination of Mathematics.
Medals of the Royal Spanish Mathematical Society: are distinctions that express the public recognition of the community for outstanding people for their contributions in any area of mathematical endeavor. Its first edition was in 2015[1][2]
Premio José Luis Rubio de Francia: It is one of the most important mathematics awards in Spain,[10] and the highest distinction awarded by the RSME.[11] It is aimed at young researchers in mathematics who are Spanish or who have carried out their work in Spain. The first edition was in 2004 and is awarded annually.
Premio Vicent Caselles: Annual distinction to young Spanish researchers whose doctoral work is pioneering and influential in international research in mathematics. The first edition was in 2015 and 6 awards are awarded annually[16]
2021: Jon Asier Bárcena, Xavier Fernández-Real, José Ángel González-Prieto, Mercedes Pelegrín García, Abraham Rueda y María de la Paz Tirado[13]
Publications periodical: members receive the RSME Gazette quarterly[23][24] published since 1998, a magazine with varied mathematical content. In addition, a newsletter is sent weekly email with the most outstanding news. From April 2005 to October 2007, the electronic magazine was part of the publications of this society. Matematicalia, oriented to mathematical dissemination.
The RSME publishes collections of books, scientific and popular texts, in collaboration with publishers and scientific societies, and a research journal, the Ibero-American Mathematical Magazine.