Industrial Mathematics
Case Studies in the Diffusion of Heat and Matter
$65.99 USD
Part of Australian Mathematical Society Lecture Series
- Authors:
- Glenn R. Fulford, University College, Australian Defence Force Academy, Canberra
- Philip Broadbridge, University of Wollongong, New South Wales
- Date Published: March 2011
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9780511838002
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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.
Read more- Uses genuine real world problems
- Authors have many years teaching experience in this area (and have taught this material in four universities)
- Self-contained one semester text requiring very little background knowledge of the reader
Reviews & endorsements
' … 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
See more reviews'I can wholeheartedly recommend it for a second year modelling course.' The Mathematical Gazette
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×Product details
- Date Published: March 2011
- format: Adobe eBook Reader
- isbn: 9780511838002
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
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.
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