Glenn Fulford,
Glenn (University College, Australian Defence Force Academy, Canberra) Fulford,
Peter Forrester,
Peter (La Trobe University, Victoria) Forrester,
Arthur Jones,
Arthur (La Trobe University, Victoria) Jones
e.a.
Cambridge University Press
e druk, 1997
9780521440691
Modelling with Differential and Difference Equations
Specificaties
Gebonden, 416 blz.
|
Engels
Cambridge University Press |
e druk, 1997
ISBN13: 9780521440691
Rubricering
Onderdeel van serie
Australian Mathemati
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780521440691
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:416
Uitgever:Cambridge University Press
Serie:Australian Mathemati
Inhoudsopgave
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.