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Mathematical Modelling : Case Studies and Projects - J. Caldwell

Mathematical Modelling

Case Studies and Projects


Published: 31st March 2004
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Unlike a traditional textbook, this book deals completely with Case Studies and Projects. The Case Studies and Projects involve Mathematical and Computational Methods from the three key areas of ODEs, PDEs and Optimization. The leading author, Dr. Caldwell, has had extensive experience in Mathematical Modeling throughout his career in both university teaching and industry and was instructor for a team of three Hong Kong mathematics undergraduate students, one of which was Mr. Ng, the second author, who won the first place award, Meritorious, in the 2000 Netease Cup China Undergraduate Mathematical Contest in Modelling (CUMCM), Mathematical Modeling is most effectively taught using a Case Study approach. An important aspect of the book is the use of scientific computer software packages such as MAPLE for symbolic algebraic manipulations, MATLAB for numerical simulation and LINDO for linear programming.
Audience: Mathematical Modeling: will be useful for senior undergraduates/postgraduates using it as part of their programmes in areas including mathematics, engineering, science and management science. It will also prove helpful for research students in these areas, industrialists with modelling interests and lecturers/teachers of mathematical modelling.

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)

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