Modelling with Differential and Difference Equations

Modelling with Differential and Difference Equations

by Glenn Fulford, Peter Forrester, Arthur Jones
     
 

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. See more details below

Overview

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.

Product Details

ISBN-13:
9780521440691
Publisher:
Cambridge University Press
Publication date:
11/28/2006
Series:
Australian Mathematical Society Lecture Series, #10
Pages:
416
Product dimensions:
5.98(w) x 8.98(h) x 1.06(d)

Meet the Author

Table of Contents

Preface
Introduction to the student1
Pt. 1Simple Models in Mechanics5
1Newtonian mechanics7
2Kinematics on a line21
3Ropes and pulleys41
4Friction60
5Differential equations: linearity and SHM71
6Springs and oscillations85
Pt. 2Models with Difference Equations103
7Difference equations105
8Linear difference equations in finance and economics126
9Non-linear difference equations and population growth146
10Models for population genetics177
Pt. 3Models with Differential Equations201
11Continuous growth and decay models203
12Modelling heat flow232
13Compartment models of mixing257
Pt. 4Further Mechanics275
14Motion in a fluid medium277
15Damped and forced oscillations295
16Motion in a plane318
17Motion on a circle336
Pt. 5Coupled Models353
18Models with linear interactions355
19Non-linear coupled models379
References399
Index403

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