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 of Mathematical Modelling 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 Modelling 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. The book will be useful for senior undergraduates/postgraduates using Mathematical Modelling 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 Mo

Produktinformation

Utgivningsdatum2004-03-31
Mått210 x 279 x 20 mm
Vikt571 g
FormatInbunden
SpråkEngelska
SerieTexts in the Mathematical Sciences
Antal sidor253
Upplaga2004
FörlagSpringer-Verlag New York Inc.
ISBN9781402019913

Tillhör följande kategorier

Tillämpad matematik inom Naturvetenskap och teknik

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.

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)