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Mathematical Modelling : Case Studies and Projects - J. Caldwell

Mathematical Modelling

Case Studies and Projects

Hardcover

Published: 31st March 2004
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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.

From the reviews:

"This textbook is intended for teaching students of mathematicians, science, engineering, business etc. at a last year undergraduate or postgraduate level. However, in (central) Europe much of the presented material can be used already for teaching first or second year undergraduates. The book is composed of three parts each consisting of two so-called case studies and three worked projects followed by ten problems left for the reader to carry out." (Inge Troch, Zentralblatt MATH, Vol. 1103 (5), 2007)

Preface
Introductionp. 1
Ordinary differential equationsp. 5
Deterministic model in contagious diseasep. 7
Electromagnetic forces in high field magnet coilsp. 25
Mass balance of a reactor in steady statep. 39
The free and forced vibration of an automobilep. 55
Cantilever beam subjected to an end loadp. 67
ODE problemsp. 85
Partial differential equationsp. 91
Cylindrical and spherical solidification in heat transferp. 93
Elastic analysis of a square plate with circular holesp. 111
Motion of fluid layersp. 127
Mass balance of a reactor with time dependencyp. 137
Flow through porous mediap. 147
PDE problemsp. 161
Optimizationp. 171
Linear programming problem involving wine productionp. 173
Transportation problem involving breweries and hotelsp. 185
Profit from an engineering plantp. 205
Optimization of manufacture of personal computersp. 215
Air freight transportation problemp. 229
Optimization problemsp. 239
Subject indexp. 247
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781402019913
ISBN-10: 1402019912
Series: Texts in the Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 253
Published: 31st March 2004
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 27.9 x 21.0  x 1.91
Weight (kg): 1.22