Mathematical Modelling: Case Studies and Projects / Edition 1

by J. Caldwell, Douglas K.S. Ng

Overview

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.

Product Details

ISBN-13:	9781402019913
Publisher:	Springer Netherlands
Publication date:	03/31/2004
Series:	Texts in the Mathematical Sciences , #28
Edition description:	2004
Pages:	253
Product dimensions:	8.27(w) x 10.98(h) x 0.03(d)

Table of Contents

Ordinary Differential Equations.- Deterministic Model in Contagious Disease.- Electromagnetic Forces in High Field Magnet Coils.- Mass Balance of a Reactor in Steady State.- The Free and Forced Vibration of an Automobile.- Cantilever Beam Subjected to an End Load.- ODE Problems.- Partial Differential Equations.- Cylindrical and Spherical Solidification in Heat Transfer.- Elastic Analysis of a Square Plate with Circular Holes.- Motion of Fluid Layers.- Mass Balance of a Reactor with Time Dependency.- Flow Through Porous Media.- PDE Problems.- Optimization.- Linear Programming Problem Involving Wine Production.- Transportation Problem Involving Breweries and Hotels.- Profit from an Engineering Plant.- Optimization of Manufacture of Personal Computers.- Air Freight Transportation Problem.- Optimization Problems.

Editorial Reviews

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)

From the Publisher