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.
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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