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Modelling with Differential and Difference Equations

Modelling with Differential and Difference Equations

$69.99 (X)

textbook

Part of Australian Mathematical Society Lecture Series

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

$ 69.99 (X)
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About the Authors
  • The theme of this book is modeling the real world using mathematics. 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. Among the broad spectrum of topics studied in this book are: mechanics, genetics, thermal physics, economics and population studies.

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

    "...highly recommended...a demanding text; the exercises are excellent and challenging, and some are at the level of research problems. Applied mathematicians, engineers, and scientists will appreciate this book." G.J.F. Junevicus, Choice

    "If you are looking for a textbook for an introdutory course on mathematical modeling, with an emphasis on differential and difference equations and basic calculus as the only prerequisite, then give this book serious consideration. It is very well written and very well structured.... overall presentation of material is excellent.... an excellent reference for anyone who has an interest in mathematical modeling....The foundation that this text helps to build will easily allow the reader to move on to more advanced texts on mathematical modeling." The UMAP Journal

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    Product details

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

    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.

  • 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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