Del 10 - Australian Mathematical Society Lecture Series

Modelling with Differential and Difference Equations

Häftad, Engelska, 1997

Av Glenn Fulford, Peter Forrester, Arthur Jones, Canberra) Fulford, Glenn (University College, Australian Defence Force Academy, Victoria) Forrester, Peter (La Trobe University, Victoria) Jones, Arthur (La Trobe University, Arthur Jones, Peter Forrester

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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.

Produktinformation

Utgivningsdatum1997-06-12
Mått152 x 229 x 24 mm
Vikt672 g
FormatHäftad
SpråkEngelska
SerieAustralian Mathematical Society Lecture Series
Antal sidor416
FörlagCambridge University Press
ISBN9780521446181

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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.