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Industrial Mathematics
Case Studies in the Diffusion of Heat and Matter


Part of Australian Mathematical Society Lecture Series

  • Date Published: December 2001
  • availability: Available
  • format: Hardback
  • isbn: 9780521807173

£ 88.00

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About the Authors
  • 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
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    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

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    Product details

    • Date Published: December 2001
    • format: Hardback
    • isbn: 9780521807173
    • length: 216 pages
    • dimensions: 229 x 152 x 16 mm
    • weight: 0.49kg
    • availability: Available
  • 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.

  • Authors

    Glenn R. Fulford, University College, Australian Defence Force Academy, Canberra

    Philip Broadbridge, University of Wollongong, New South Wales

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