Record: NoLevel: UndergraduateLanguage: EnglishPrerequisiteAbstractIn this course we look at the life and work of some of the most influential Mathematicians including David Hilbert, Felix Klein, Emmy Noether and Bernhard Riemann. The aim is twofold. On the one hand, we would like to introduce the historical figures and convey the flavor of how Mathematics were conducted at that time, on the ot...
Record: YesLevel: GraduateLanguage: ChinesePrerequisiteAbstractThis course is a continuation of last semester and will cover the following topics:1) Normal forms of Hamiltonian systems and bifurcation theory;2) Averaging methods of classical perturbation theory;3) KAM stability of Hamiltonian systems;4) Effective stability of nearly integrable systems;5) Numerical stability of symplectic g...