Modelling with Differential and Difference Equations
$152.00 (X)
Part of Australian Mathematical Society Lecture Series
- Authors:
- Glenn Fulford, University College, Australian Defence Force Academy, Canberra
- Peter Forrester, La Trobe University, Victoria
- Arthur Jones, La Trobe University, Victoria
- Date Published: June 1997
- availability: Available
- format: Hardback
- isbn: 9780521440691
$
152.00
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The theme of this book is modeling the real world using mathematics. 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. Among the broad spectrum of topics studied in this book are: mechanics, genetics, thermal physics, economics and population studies.
Read more- Excellent introduction to solving problems via mathematical modelling
- Covers broad spectrum of topics e.g. mechanics, genetics, economics
Reviews & endorsements
"...highly recommended...a demanding text; the exercises are excellent and challenging, and some are at the level of research problems. Applied mathematicians, engineers, and scientists will appreciate this book." G.J.F. Junevicus, Choice
See more reviews"If you are looking for a textbook for an introdutory course on mathematical modeling, with an emphasis on differential and difference equations and basic calculus as the only prerequisite, then give this book serious consideration. It is very well written and very well structured.... overall presentation of material is excellent.... an excellent reference for anyone who has an interest in mathematical modeling....The foundation that this text helps to build will easily allow the reader to move on to more advanced texts on mathematical modeling." The UMAP Journal
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×Product details
- Date Published: June 1997
- format: Hardback
- isbn: 9780521440691
- length: 416 pages
- dimensions: 229 x 152 x 27 mm
- weight: 0.78kg
- availability: Available
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.
Related Books
related journals
also by this author
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