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Modelling with Differential and Difference Equations

Modelling with Differential and Difference Equations


Part of Australian Mathematical Society Lecture Series

  • Date Published: August 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521446181


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About the Authors
  • 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.

    • Excellent introduction to solving problems via mathematical modelling
    • Covers broad spectrum of topics e.g. mechanics, genetics, economics
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    Product details

    • Date Published: August 1997
    • format: Paperback
    • isbn: 9780521446181
    • length: 416 pages
    • dimensions: 229 x 152 x 24 mm
    • weight: 0.61kg
    • availability: Available
  • Table of Contents

    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

  • Authors

    Glenn Fulford, University College, Australian Defence Force Academy, Canberra

    Peter Forrester, La Trobe University, Victoria

    Arthur Jones, La Trobe University, Victoria

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