Modelling with differential and difference equations
Glenn Fulford, Peter Forrester, Arthur Jones.
Cambridge : Cambridge University Press, 1997.
x, 405 págs. : ilustraciones ; 24 cm.
Serie: Australian Mathematical Society lecture series ; 10
ISBN: 0521440696 (hardback), 052144618X (paperback)
Incluye referencias bibliográficas (p. 399-402) e índice.
Reseña: MathSciNet, 99f:00009
Contenido
- Part 1. 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 2. 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 3. Models with differential equations: 11. Continuous growth and decay models; 12. Modelling heat flow; 13. Compartment models of mixing
- Part 4. Further mechanics: 14. Motion in a fluid medium; 15. Damped and forced oscillations; 16. Motion in a plane; 17. Motion on a circle
- Part 5. Coupled models: 18. Models with linear interactions; 19. Non-linear coupled models.