The course is designed for an audience that has previously attended general course of classical or analytical mechanics and courses of higher mathematics: mathematical analysis and differential equations theory.
For many years, classical mechanics has been the driver of the development of various areas of mathematics. Currently, various applications such as robotics, cryptography, cryptocurrency, computer graphics, computer vision, and machine learning are actively influencing the development of algebraic geometry, differential geometry, Riemannian geometry, number theory, etc. The new tools obtained, or new computer implementations of the known tools, allow not only a new look at the classical integrable systems of the 18th-19th century, but also get a number of previously unknown results.
The goal of this course is to give students an overview of modern concepts and results in classical mechanics.
Andrey Tsiganov received his PhD from Saint Petersburg State University in 1991. Currently he is professor of computational physics in Saint Petersburg State University, see publications and other information in https://www.researchgate.net/profile/Andrey-Tsiganov. His main scientific interests are classical integrable systems and its applications to other areas of mathematics and computer science.