Modelling with differential and difference equations
著者
書誌事項
Modelling with differential and difference equations
（Australian Mathematical Society lecture series, 10）
Cambridge University Press, 1997
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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