Mathematical Modelling
Case Studies and Projects
(Sprache: Englisch)
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...
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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 zu „Mathematical Modelling “
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 Problems Part 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
Bibliographische Angaben
- Autoren: J. Caldwell , Douglas K. S. Ng
- 2004, 2004, 253 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer Netherlands
- ISBN-10: 1402019912
- ISBN-13: 9781402019913
- Erscheinungsdatum: 31.03.2004
Sprache:
Englisch
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