Industrial Mathematics

Case Studies in the Diffusion of Heat and Matter

AvGlenn R. Fulford,Philip Broadbridge

Häftad, Engelska, 2001

Del 16 i serien Australian Mathematical Society Lecture Series

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Beskrivning

The focus in this text is on mathematical modelling stimulated by contemporary industrial problems involving heat conduction and mass diffusion. These include continuous metal casting, laser drilling, spontaneous combustion of industrial waste, water filtration and crop irrigation. The industrial problems prove to be an excellent setting for the introduction and reinforcement of modelling skills, equation solving techniques, qualitative understanding of partial differential equations and their dynamical properties. Mathematical topics include setting up partial differential equations and boundary conditions, dimensional analysis, scaling, perturbation expansions, boundary value problems, Fourier series, symmetry reductions, Stefan problems and bifurcations. For students of mathematics, engineering, or any other related discipline, this will be a great introduction to modelling the real world.

Produktinformation

Utgivningsdatum:2001-12-13
Mått:153 x 228 x 13 mm
Vikt:300 g
Format:Häftad
Språk:Engelska
Serie:Australian Mathematical Society Lecture Series
Antal sidor:216
Förlag:Cambridge University Press
ISBN:9780521001816

Utforska kategorier

Tillämpad matematik inom Naturvetenskap och teknik

Recensioner i media

' … an excellent text … written and typeset so nicely, that it is a real pleasure to read it. This textbook is highly recommended for all students of mathematics, science and engineering, and will certainly benefit anyone who wishes to understand better how mathematical techniques are 'projected' onto the real-world problems. You will definitely understand much more about mathematical modeling and may even start loving it after having read this very nice book.' Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts

Innehållsförteckning

1. Preliminaries; 2. Case study: continuous casting; 3. Case study: water filtration; 4. Case study: laser drilling; 5. Case study: factory fires; 6. Case study: irrigation; 7. Conclusions.