The everlasting connection between mathematics, mechanics, and physics was a spur to many fundamental mathematical ideas in the last third of the 20th century. Inspired by that connection, the Seminar on Mathematical Methods of Mechanics was initiated, at MISANU in spring 1993, with the aim of facilitating a more active and organised participation in this stream of ideas.

There were two main initial tasks of the Seminar. The first one was to contribute to the organisation of the postgraduate studies in these scientific fields in cooperation with the Chairs of Geometry and of Mechanics of the Faculty of Mathematics. The second task was to organise, conduct, and stimulate research, as well as to provide a forum where the original research results could be reported.

Most frequently, the subjects of talks were integrability and nonintegrability of dynamical systems, symplectic geometry, Lie groups and algebras, qualitative analysis of differential equations, algebraic curves, etc.

Vladimir Dragović, who has been the chairperson since the very beginning, initiated the seminar. In 1994 and 2000, the duty of the chairperson was carried out by Nikola Burić (1959-2016) and Darko Milinković, respectively.

For the first few years, senior researchers Veljko Vujičić (1929-2020), Stevo Komljenović (1930-2020), and Rade Živaljević were actively in the activities of the Seminar. Four PhD theses have been completed within the Seminar (by Božidar Jovanović, Borislav Gajić, Milena Radnović, and Katarina Kukić).

For almost 30 years of its operation, the Seminar has organised many special courses: Mathematical Methods of Mechanics by Vladimir Dragović in 1993 and 1994; Nonintegrable Systems by Nikola Burić in 1995; four courses in 1997:Theory of Solitons; Algebraic Curves and Nonlinear Equations; Rigid-Body Dynamics and Geometry; Symmetries in Mechanics; in 1998 and 1999 Schemes and Cohomologies. The following courses were organised since 2000: Mirror Symmetries by Darko Milinković; Lie Groups and Algebras by Božidar Jovanović; Some aspects of classical homology theoryby Jelena Grbić (jointly organised with CGTA Seminar); Continuum Mechanics by Jovo Jarić; Introduction to Algebraic Geometry by Milena Radnović, Borislav Gajić, Božidar Jovanović;Toric Topology by Victor Buchstaber (jointly organised with CGTA Seminar); Dynamical Systems by Borislav Gajić, Gordana Stojanović,Milena Radnović; Introduction to optimal control – Pontryagin's maximum principle by Vladimir Janković. The list of several other more recent courses includes Introduction to analytical mechanics and symplectic geometryand Algebraic curves and applications in classical mechanics by Borislav Gajić and Božidar Jovanović, and Introduction to Classical Mechanics and Theory of Stability by Vladimir Dragović, Borislav Gajić and Božidar Jovanović.

Starting from 2008, the Seminar has been active in the organisation of a series of international conferences: GDIS-Geometry, Dynamics, Integrable Systems, jointly with Alexey Borisov (1965-2021) and Academician Valery V. Kozlov, Vice-President of the Russian Academy of Sciences.

In 2012, the Seminar organised a mini-symposium on Algebraic Geometry, and in 2013, a mini-symposium devoted to its 20th anniversary. In the end, as the highlight, let us mention that the Seminar organised a mini course by Academician Sergei Petrovich Novikov (1970 Fields medal) in 2011. The title of the course was: Integrable systems and a new discrete complex analysis.