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Modelling with Differential and Difference Equations : Cambridge Studies in Population, Economy, and Society in Pas - Glenn R. Fulford

Modelling with Differential and Difference Equations

Cambridge Studies in Population, Economy, and Society in Pas

Hardcover Published: 28th June 1997
ISBN: 9780521440691
Number Of Pages: 416

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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.

"...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

Preface
Introduction to the student
Simple Models In Mechanics
Newtonian mechanics
Kinematics on a line
Ropes and pulleys
Friction
Differential equations: linearity and SHM
Springs and oscillations
Models with Difference Equations
Difference equations
Linear difference equations in finance and economics
Non-linear difference equations and population growth
Models for population genetics
Models with Differential Equations
Continuous growth and decay models
Modelling heat flow
Compartment models of mixing
Further Mechanics
Motion in a fluid medium
Damped and forced oscillations
Motion in a plane
Motion in a circle
Coupled Models
Models with linear interactions
Non-linear coupled models
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521440691
ISBN-10: 0521440696
Series: Cambridge Studies in Population, Economy, and Society in Pas
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 416
Published: 28th June 1997
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 2.69
Weight (kg): 0.78