Overview

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, both for plentiful exercises and examples. Special attention is given to classical mechanics in light of new computational methods and concept.

Full Product Details

Author:   Nicola Bellomo ,  Luigi Preziosi ,  Antonio Romano
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
ISBN:  

9783764340070

ISBN 10:   376434007
Pages:   456
Publication Date:   August 1999
Audience:   College/higher education ,  Undergraduate
Replaced By:   9780817640071
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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