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Mechanics and dynamical systems with mathematica / Nicola Bellomo, Luigi Preziosi and Antonio Romano.

By: Contributor(s): Material type: TextTextSeries: Modeling and simulation in science, engineering and technologyPublication details: Boston : Birkhauser, 2000.Description: xiii, 417 p. : illustrations ; 25 cmISBN:
  • 9780817640071
Subject(s): DDC classification:
  • 531.0285 23 B446
Contents:
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.
Summary: 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.
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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.

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.

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