Author | Bellomo, Nicola. author |
---|---|
Title | Mechanics and Dynamical Systems with Mathematicaยฎ [electronic resource] / by Nicola Bellomo, Luigi Preziosi, Antonio Romano |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2000 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1338-3 |
Descript | XV, 417 p. online resource |
I Mathematical Methods for Differential Equations -- 1 Models and Differential Equations -- 2 Models and Mathematical Problems -- 3 Stability and Perturbation Methods -- II Mathematical Methods of Classical Mechanics -- 4 Newtonian Dynamics -- 5 Rigid Body Dynamics -- 6 Energy Methods and Lagrangian Mechanics -- III Bifurcations, Chaotic Dynamics, Stochastic Models, and Discretization of Continuous Models -- 7 Deterministic and Stochastic Models in Applied Sciences -- 8 Chaotic Dynamics, Stability, and Bifurcations -- 9 Discrete Models of Continuous Systems -- Appendix I. Numerical Methods for Ordinary Differential Equations -- 1 Introduction -- 2 Numerical Methods for Initial-Value Problems -- 3 Numerical Methods for Boundary-Value Problems -- Appendix II. Kinematics, Applied Forces, Momentum and Mechanical Energy -- 1 Introduction -- 2 Systems of Applied Forces -- 3 Fundamental of Kinematics -- 4 Center of Mass -- 5 Tensor of Inertia -- 6 Linear Momentum -- 7 Angular Momentum -- 8 Kinetic Energy -- Appendix III. Scientific Programs -- 1 Introduction to Programming -- 2 Scientific Programs -- References