J. Caldwell, Y. M. Ram

Mathematical Modelling (eBook, PDF)

Concepts and Case Studies

• Format: PDF

Produktbeschreibung

Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science and engineering. There has been a constant movement in the emphasis from developing proficiency in purely mathematical techniques to an approach which caters for industrial and scientific applications in emerging new technologies. In this textbook we have attempted to present the important fundamental concepts of mathematical modelling and to demonstrate their use in solving certain scientific and engineering problems. This text, which serves as a general introduction to the area of mathematical modelling, is aimed at advanced undergraduate students in mathematics or closely related disciplines, e.g., students who have some prerequisite knowledge such as one-variable calculus, linear algebra and ordinary differential equations. Some prior knowledge of computer programming would be useful but is not considered essential. The text also contains some more challenging material which could prove attractive to graduate students in engineering or science who are involved in mathematical modelling. In preparing the text we have tried to use our experience of teaching mathematical modelling to undergraduate students in a wide range of areas including mathematics and computer science and disciplines in engineering and science. An important aspect of the text is the use made of scientific computer software packages such as MAPLE for symbolic algebraic manipulations and MA TLAB for numerical simulation.

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 288
• Erscheinungstermin: 29. Juni 2013
• Englisch
• ISBN-13: 9789401722018
• Artikelnr.: 44171022

Inhaltsangabe

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.

Rezensionen

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)