Ian Jauslin
In this course, we will discuss the mathematical structure of Classical Mechanics. We will start with a brief discussion of the Newtonian formulation, and then discuss the Lagrangian and Hamiltonian formulations. We will then use these formulations to discuss the properties of many-body systems and introduce the fundamentals of classical statistical mechanics. Attention will be spent on the mathematical structures involved in these theories, and will take us to discuss topics in symplectic geometry, functional analysis and probability theory. This course does not require pre-existing knowledge in these fields, as we will cover what we need.
Lecture notes
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