Modelling with Differential and Difference Equations
Modelling with Differential and Difference Equations
Glenn Fulford, University College, Australian Defence Force Academy, Canberra
Peter Forrester, La Trobe University, Victoria
Arthur Jones, La Trobe University, Victoria
Peter Forrester, La Trobe University, Victoria
Arthur Jones, La Trobe University, Victoria
No date available
Paperback
9780521446181
Paperback
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.
- Excellent introduction to solving problems via mathematical modelling
- Covers broad spectrum of topics e.g. mechanics, genetics, economics
Product details
No date availablePaperback
9780521446181
416 pages
229 × 152 × 24 mm
0.672kg
Table of Contents
- Preface
- Introduction to the student
- Part I. Simple Models In Mechanics:
- 1. Newtonian mechanics
- 2. Kinematics on a line
- 3. Ropes and pulleys
- 4. Friction
- 5. Differential equations: linearity and SHM
- 6. Springs and oscillations
- Part II. Models with Difference Equations:
- 7. Difference equations
- 8. Linear difference equations in finance and economics
- 9. Non-linear difference equations and population growth
- 10. Models for population genetics
- Part III. Models with Differential Equations:
- 11. Continuous growth and decay models
- 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
- 17. Motion in a circle
- Part V. Coupled Models:
- 18. Models with linear interactions
- 19. Non-linear coupled models
- References
- Index.
