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 Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2000 ed.
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   1.730kg
ISBN:  

9780817640071

ISBN 10:   081764007
Pages:   417
Publication Date:   28 December 1999
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of 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.- 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.

Reviews

The Mathematica notebook files are well written.! Most procedures are quite general and may be adapted to different models. The book covers a huge amount of ground! The nice thing about this book is the great variety of mathematical models treated. --Mathematical Reviews !Solid motivations are always given.! The book includes a great number of examples, taken from practice, many of them being worked out completely.! [It is] useful for practitioners and even mathematicians could find a lot of very interesting examples and motivations. --Mathematica, Revue d'Analyse Numerique et de Theorie de l'Approximation A distinguishing feature of this book's treatment of classical mechanics is the way in which it presents modeling, analysis and computation in a unified manner.! This text gives a surprisingly readable yet thorough account of classical mechanics and the use of Mathematica to aid the numerical and analytic solution of many standard problems. It is aimed at advanced undergraduate students and is, in fact, [a] very student-friendly text. There are many step-by-step descriptions of problem-solving methods that may be applied to broad classes of problems.! This book will be of great use to those struggling with advanced applications and concepts. --Scientific Computing World

The Mathematica notebook files are well written.a ] Most procedures are quite general and may be adapted to different models. The book covers a huge amount of grounda ] The nice thing about this book is the great variety of mathematical models treated. a Mathematical Reviews <p> a ]Solid motivations are always given.a ] The book includes a great number of examples, taken from practice, many of them being worked out completely.a ] [It is] useful for practitioners and even mathematicians could find a lot of very interesting examples and motivations. a Mathematica, Revue da (TM)Analyse Numerique et de Theorie de la (TM)Approximation <p> A distinguishing feature of this booka (TM)s treatment of classical mechanics is the way in which it presents modeling, analysis and computation in a unified manner.a ] This text gives a surprisingly readable yet thorough account of classical mechanics and the use of Mathematica to aid the numerical and analytic solution of many standard problems. It is aimed at advanced undergraduate students and is, in fact, [a] very student-friendly text. There are many step-by-step descriptions of problem-solving methods that may be applied to broad classes of problems.a ] This book will be of great use to those struggling with advanced applications and concepts. a Scientific Computing World <p> In this advanced undergraduate book on analytical mechanics, [the authors] develop enough of the theory of dynamical systems to provide an appropriate mathematical context for mechanics as well as useful analytical tools. They also provide Mathematica computer routines (available at the publisher's Web site) so the reader can visualize and experiment with thebook's examples. This powerful combination of qualitative and quantitative tools allows for the analysis of a rich range of topics and material including some outside of mechanics. Still, the volume is fundamentally a textbook on classical mechanics and can be recommended as such, perhaps more than as a fundamental addition to a library collection. a Choice

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions