Mathematical Modelling

• 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)