Mathematical Modelling: Case Studies and Projects

Front Cover
Springer Science & Business Media, Mar 31, 2004 - Mathematics - 253 pages
Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management. Recent developments in computer technology and related software have provided the necessary tools of increasing power and sophistication which have significant implications for the use and role of mathematical modelling in the above disciplines. In the past, traditional methods have relied heavily on expensive experimentation and the building of scaled models, but now a more flexible and cost effective approach is available through greater use of mathematical modelling and computer simulation. In particular, developments in computer algebra, symbolic manipulation packages and user friendly software packages for large scale problems, all have important implications in both the teaching of mathematical modelling and, more importantly, its use in the solution of real world problems. Many textbooks have been published which cover the art and techniques of modelling as well as specific mathematical modelling techniques in specialist areas within science and business. In most of these books the mathematical material tends to be rather tailor made to fit in with a one or two semester course for teaching students at the undergraduate or postgraduate level, usually the former. This textbook is quite different in that it is intended to build on and enhance students’ modelling skills using a combination of case studies and projects.
 

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Contents

Electromagnetic Forces in High Field Magnet Coils
25
Project
39
Project
55
ODE Problems
85
Elastic Analysis of a Square Plate with Circular Holes
111
Project
126
Project
147
PDE Problems
161
Transportation Problem Involving Breweries and Hotels 185
184
Project
205
Project
228
Subject Index
247
Copyright

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