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Industrial Mathematics

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Industrial Mathematics

Industrial Mathematics

Case Studies in the Diffusion of Heat and Matter
Glenn R. Fulford, University College, Australian Defence Force Academy, Canberra
Philip Broadbridge, University of Wollongong, New South Wales
December 2001
Available
Hardback
9780521807173
    Description

    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.

    • 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

    'I can wholeheartedly recommend it for a second year modelling course.' The Mathematical Gazette

    See more reviews

    Product details

    December 2001
    Hardback
    9780521807173
    216 pages
    229 × 152 × 16 mm
    0.49kg
    Available

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    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.
      • Show more

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    Additional Information
    About the authors
      Authors
    • Glenn R. Fulford , University College, Australian Defence Force Academy, Canberra
    • Philip Broadbridge , University of Wollongong, New South Wales

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