(BQ) In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. Ebook Mathematical methods of classical mechanics (Second edition): Part 1 presents the following content: Experimental facts, investigation of the equations of motion, variational principles, lagrangian mechanics on manifolds, oscillations, rigid bodies, differential forms, symplectic manifolds, canonical formalism, introduction to perturbation theory. |