Modelling With Differential and Difference Equations
by Glenn Fulford , Peter Forrester , Arthur JonesFormat: Paperback
Pub. Date: 1997-06-28
Publisher(s): 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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