Modelling With Differential And Difference Equations by Glenn FulfordModelling With Differential And Difference Equations by Glenn Fulford

Modelling With Differential And Difference Equations

byGlenn Fulford, Peter Forrester, Arthur Jones

Paperback | June 28, 1997

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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.
Title:Modelling With Differential And Difference EquationsFormat:PaperbackDimensions:416 pages, 8.98 × 5.98 × 0.94 inPublished:June 28, 1997Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:052144618X

ISBN - 13:9780521446181

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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.

Editorial Reviews

"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