TY - BOOK AU - Bellomo,Nicola AU - Preziosi,Luigi AU - Romano,Antonio TI - Mechanics and dynamical systems with mathematica T2 - Modeling and simulation in science, engineering and technology SN - 9780817640071 U1 - 531.0285 23 PY - 2000/// CY - Boston PB - Birkhauser KW - Analytic Mechanics KW - Mathematica (Computer file) N1 - Includes bibliographical references and index; 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 -- App. I. Numerical Methods for Ordinary Differential Equations -- App. II. Kinematics, Applied Forces, Momentum and Mechanical Energy -- App. III. Scientific Programs -- References -- Subject index N2 - Providing a unified treatment of the subject, this text addresses modelling, qualitative analysis and simulation of real physical systems using ordinary differential equations. The scientific computational aspects are presented using the computer program, Mathematica. ER -