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Practical Applied Mathematics
Modelling, Analysis, Approximation

$60.00 ( ) USD

Part of Cambridge Texts in Applied Mathematics

  • Date Published: May 2005
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511108945

$ 60.00 USD ( )
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About the Authors
  • Drawing from an exhaustive variety of mathematical subjects, including real and complex analysis, fluid mechanics and asymptotics, this book demonstrates how mathematics can be intelligently applied within the specific context to a wide range of industrial uses. The volume is directed to undergraduate and graduate students.

    • Integrated description of mathematics and modelling applied to problems based on work of world leading research group
    • Text is littered with large case studies from a wide source of applications
    • Detailed treatment of asymptotic methods, not usually found in textbooks
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    Reviews & endorsements

    "The book is extremely pleasant to read, flowing easily through and between topics while still containing significant content. The structure includes frequent use of footnotes and notes in the margin which are a clean way of including some detailed, technical information without breaking up the overall discussion. In addition to the exposition, the exercises provide an equally valuable component of this book."
    Rachel Kuske
    University of British Columbia

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    Product details

    • Date Published: May 2005
    • format: Adobe eBook Reader
    • isbn: 9780511108945
    • contains: 20 b/w illus. 123 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Part I. Modelling Techniques:
    1. The basics of modelling
    2. Units, dimensions and dimensional analysis
    3. Non-dimensionalisation
    4. Case studies: hair modelling and cable laying
    5. Case study: the thermistor (1)
    6. Case study: electrostatic painting (1)
    Part II. Mathematical Techniques:
    7. Partial differential equations
    8. Case study: traffic modelling
    9. Distributions
    10. Theory of distributions
    11. Case study: the pantograph
    Part III. Asymptotic techniques:
    12. Asymptotic expansions
    13. Regular perturbation expansions
    14. Case study: electrostatic painting (2)
    15. Case study: piano tuning
    16. Boundary layers
    17. Case study: the thermistor (2)
    18. 'Lubrication theory' analysis
    19. Case study: continuous casting of steel
    20. Lubrication theory for fluids
    21. Case study: eggs
    22. Methods for oscillators
    23. Ray theory and other 'exponential' approaches.

  • Author

    Sam Howison, University of Oxford

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