Mechanics and Dynamical Systems with Mathematica

Part 1 Mathematical methods for differential equations: models and differential equations; models and mathematical problems; stability and perturbation methods. Part 2 Mathematical methods of classical mechanics: Newtonian dynamics; rigid body dynamics; energy methods and Langragian mechanics. Part 3 Bifurcations chaotic dynamics, stochastic models, and discretization of continuous models: deterministic and stochastic models in applied sciences; stability bifurcations and chaotic dynamics; discrete models of continuous systems. Appendices: numerical methods for ordinary differential equations; kinematics, applied forces, momentum and mechanical energy; scientific programs.