Mathematical Modelling: Case Studies and Projects by J. CaldwellMathematical Modelling: Case Studies and Projects by J. Caldwell

Mathematical Modelling: Case Studies and Projects

byJ. Caldwell, Douglas K.S. Ng

Paperback | December 4, 2010

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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 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.
Title:Mathematical Modelling: Case Studies and ProjectsFormat:PaperbackDimensions:253 pagesPublished:December 4, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048165660

ISBN - 13:9789048165667


Table of Contents

PrefaceIntroductionPart I: Ordinary Differential EquationsCase Study Al Deterministic Model in Contagious DiseaseCase Study A2 Electromagnetic Forces in High Field Magnet CoilsProject B1 Mass Balance of a Reactor in Steady State Project B2 The Free and Forced Vibration of an AutomobileProject B3 Cantilever Beam Subjected to an End LoadODE ProblemsPart II: Partial Differential EquationsCase Study A3 Cylindrical and Spherical Solidification in Heat TransferCase Study A4 Elastic Analysis of a Square Plate with Circular HolesProject B4 Motion of Fluid LayersProject B5 Mass Balance of a Reactor with Time DependencyProject B6 Flow through Porous MediaPDE ProblemsPart III: OptimizationCase Study A5 Linear Programming Problem Involving Wine ProductionCase Study A6 Transportation Problem Involving Breweries and HotelsProject B7 Profit from an Engineering PlantProject B8 Optimization of Manufacture of Personal ComputersProject B9 Air Freight Transportation ProblemOptimization ProblemsSubject Index

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)