Industrial Mathematics : Case Studies in the Diffusion of Heat and Matter [ electronic resource ] / by Glenn R. Fulford and Philip Broadbridge.
By: Fulford, Glenn R.
Contributor(s): Broadbridge, Philip [joint author].
Material type:
TextSeries: Australian Mathematical Society Lecture Series (16). Publisher: Cambridge : Cambridge University Press , 2010ISBN: 9780511613210 ( e-book ).Subject(s): Mathematical Modeling and Methods | Recreational Mathematics | Abstract Analysis | MathematicsGenre/Form: Electronic booksDDC classification: 621.5022015118 Online resources: https://doi.org/10.1017/CBO9780511613210 View to click Summary: 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.
| Item type | Current location | Call number | Status | Date due | Barcode |
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E-Book
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WWW | 621.5022015118 FUL/I (Browse shelf) | Available | EB133 |
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.
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