ABSTRACT

Throughout this book, we have introduced many mathematical concepts that have applications in a wide variety of advanced physics subjects, including quantum mechanics and general relativity. However, we have also seen a large number of examples where these new concepts have been applied to more familiar physics. In many cases, these examples have been taken from the field of classical mechanics. In order to wrap things up, we will therefore take some time to discuss the application of the introduced concepts to classical mechanics in more detail. Starting with a quick look at Newton’s formulation, we will then treat both the Lagrangian and Hamiltonian formulations and conclude with a short introduction to field theory.