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9780521446181

Modelling With Differential and Difference Equations

by
  • ISBN13:

    9780521446181

  • ISBN10:

    052144618X

  • Format: Paperback
  • Copyright: 1997-06-28
  • Publisher: Cambridge University Press

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Summary

The real world can be modelled using mathematics, and the construction of such models is the theme of this book. The authors concentrate on the techniques used to set up mathematical models and describe many systems in full detail, covering both differential and difference equations in depth. Amongst the broad spectrum of topics studied in this book are: mechanics, genetics, thermal physics, economics and population studies. Any student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.

Table of Contents

Part I. Simple Models In Mechanics: 1. Newtonian Mechanics
2. Kinematics
3. Ropes and pulleys
4. Friction
5. Differential equations: linearity and SHM
6. Springs and oscillations
Part II. Modelling With Difference Equations: 7. Difference equations
8. Linear difference equations in finance
9. Nonlinear difference equations and population growth
10. Models for population genetics
Part III. Modelling With Differential Equations: 11. Growth and decay
12. Modelling heat flow
13. Compartment models of mixing
Part IV. Further Mechanics: 14. Motion in a fluid medium
15. Damped and forced oscillations
16. Motion in a plane
Part V. Coupled Models: 17. Motion in a circle

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