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Practical Applied Mathematics
Modelling, Analysis, Approximation

Part of Cambridge Texts in Applied Mathematics

  • Date Published: March 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521603690

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  • Drawing from a wide variety of mathematical subjects, this book aims to show how mathematics is realised in practice in the everyday world. Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential equations, and asymptotic methods as well as basics of modelling. The range of applications is similarly varied, from the modelling of hair to piano tuning, egg incubation and traffic flow. The style is informal but not superficial. In addition, the text is supplemented by a large number of exercises and sideline discussions, assisting the reader's grasp of the material. Used either in the classroom by upper-undergraduate students, or as extra reading for any applied mathematician, this book illustrates how the reader's knowledge can be used to describe the world around them.

    • 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

    ' … an entertainingly written book. The effective use of a large number of case studies, shows how mathematics can be used to help address serious real-world problems. this is demonstrated to such an extent that even the most sceptical engineer would have to concede that mathematics can be useful!' Mathematics Today

    'Many exercises are the end of each chapter … it is shown in an interesting manner how mathematics can explain processes in nature and techniques … very useful for mathematicians and engineers.' ZAMM

    ' … a scenic but hands-on route through the classical topics of math modeling via PDEs … this book is an excellent example of the type of text needed for topics in modeling, analysis, and approximations, particularly in new areas that have spread in the forefront of applied math over the last few decades, such as imagining, stochastic modeling, optimization, and biological modeling.' SIAM

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    Product details

    • Date Published: March 2005
    • format: Paperback
    • isbn: 9780521603690
    • length: 340 pages
    • dimensions: 246 x 175 x 23 mm
    • weight: 0.59kg
    • contains: 20 b/w illus. 123 exercises
    • availability: Available
  • 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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