Industrial Mathematics: Case Studies in the Diffusion of Heat and Matter, ISBN-13: 978-1107699847
[PDF eBook eTextbook]
- Series: Australian Mathematical Society Lecture Series (Book 16)
- 216 pages
- Publisher: Cambridge University Press; 1 edition (January 14, 2002)
- Language: English
- ISBN-10: 0521001811
- ISBN-13: 978-1107699847
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 valuer problems, Fourier series, symmetry reductions, Stefan problems and bifurcations.
Review
‘ … 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
‘I can wholeheartedly recommend it for a second year modelling course.’ The Mathematical Gazette
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