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  3. Industrial Mathematics
  • Cited by 15
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    • Publisher:
      Cambridge University Press
      Publication date:
      14 January 2010
      13 December 2001
      ISBN:
      9780511613210
      9780521807173
      9780521001816
      DOI:
      https://doi.org/10.1017/CBO9780511613210
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.49kg, 216 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.3kg, 216 Pages
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis, Mathematical Modeling and Methods
      Series:
      Australian Mathematical Society Lecture Series (16)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis, Mathematical Modeling and Methods
    Series:
    Australian Mathematical Society Lecture Series (16)
    Information

    Book 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.

    Reviews

    ‘ … 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.’

    Source: Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts

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

    Source: The Mathematical Gazette

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