# Mathematical Modelling

€ 89,99

gebunden

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März 2004

## Beschreibung

### Beschreibung

Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management. Recent developments in computer technology and related software have provided the necessary tools of increasing power and sophistication which have significant implications for the use and role of mathematical modelling in the above disciplines. In the past, traditional methods have relied heavily on expensive experimentation and the building of scaled models, but now a more flexible and cost effective approach is available through greater use of mathematical modelling and computer simulation. In particular, developments in computer algebra, symbolic manipulation packages and user friendly software packages for large scale problems, all have important implications in both the teaching of mathematical modelling and, more importantly, its use in the solution of real world problems. Many textbooks have been published which cover the art and techniques of modelling as well as specific mathematical modelling techniques in specialist areas within science and business. In most of these books the mathematical material tends to be rather tailor made to fit in with a one or two semester course for teaching students at the undergraduate or postgraduate level, usually the former. This textbook is quite different in that it is intended to build on and enhance students' modelling skills using a combination of case studies and projects.### Inhaltsverzeichnis

PrefaceIntroduction

Part I: Ordinary Differential Equations

Case Study Al

Deterministic Model in Contagious Disease

Case Study A2

Electromagnetic Forces in High Field Magnet Coils

Project B1

Mass Balance of a Reactor in Steady State

Project B2

The Free and Forced Vibration of an Automobile

Project B3

Cantilever Beam Subjected to an End Load

ODE Problems

Part II: Partial Differential Equations

Case Study A3

Cylindrical and Spherical Solidification in Heat Transfer

Case Study A4

Elastic Analysis of a Square Plate with Circular Holes

Project B4

Motion of Fluid Layers

Project B5

Mass Balance of a Reactor with Time Dependency

Project B6

Flow through Porous Media

PDE Problems

Part III: Optimization

Case Study A5

Linear Programming Problem Involving Wine Production

Case Study A6

Transportation Problem Involving Breweries and Hotels

Project B7

Profit from an Engineering Plant

Project B8

Optimization of Manufacture of Personal Computers

Project B9

Air Freight Transportation Problem

Optimization Problems

Subject Index

### Pressestimmen

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)

EAN: 9781402019913

ISBN: 1402019912

Untertitel: Case Studies and Projects.
'Texts in the Mathematical Sciences'.
2004. Auflage.
Book.
Sprache: Englisch.

Verlag: Springer

Erscheinungsdatum: März 2004

Seitenanzahl: 268 Seiten

Format: gebunden

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