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  3. Mathematical Modelling in One Dimension
  • Cited by 11
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    • Publisher:
      Cambridge University Press
      Publication date:
      March 2013
      February 2013
      ISBN:
      9781139565370
      9781107654686
      DOI:
      https://doi.org/10.1017/CBO9781139565370
      Dimensions:
      Weight & Pages:
      Dimensions:
      (216 x 138 mm)
      Weight & Pages:
      0.17kg, 122 Pages
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Modeling and Methods, General and Classical Physics
      Series:
      AIMS Library of Mathematical Sciences
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Modeling and Methods, General and Classical Physics
    Series:
    AIMS Library of Mathematical Sciences
    Information

    Book description

    Mathematical Modelling in One Dimension demonstrates the universality of mathematical techniques through a wide variety of applications. Learn how the same mathematical idea governs loan repayments, drug accumulation in tissues or growth of a population, or how the same argument can be used to find the trajectory of a dog pursuing a hare, the trajectory of a self-guided missile or the shape of a satellite dish. The author places equal importance on difference and differential equations, showing how they complement and intertwine in describing natural phenomena.

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    Contents

    Contents
    References
    References
    References
    Braun, M., Differential Equations and Their Applications. An Introduction to Applied Mathematics, 3rd ed., Springer-Verlag, New York, 1983.
    Britton, N. F., Essential Mathematical Biology, Springer, London, 2003.
    Courant, R., John, F., Introduction to Calculus and Analysis I, Springer, Berlin, 1999.
    Elaydi, S., An Introduction to Difference Equations, 3rd ed., Springer, New York, 2005.
    Feller, W., An Introduction to Probability Theory and Its Applications, 3rd ed., John Wiley & Sons, Inc., New York, 1968.
    Friedman, A., Littman, W., Industrial Mathematics, SIAM, Philadelphia, 1994.
    Glendinning, P., Stability, Instability and Chaos: an Introduction to the Theory of Nonlinear Differential Equations, Cambridge University Press, Cambridge, 1994.
    Hirsch, M. W., Smale, S., Devaney, R. L., Differential Equations, Dynamical Systems, and an Introduction to Chaos, Elsevier (Academic Press), Amsterdam, 2004.
    Holland, K. T., Green, A. W., Abelev, A., Valent, P. J., Parametrization of the in-water motions of falling cylinders using high-speed video, Experiments in Fluids, 37, (2004), 690–700.
    Robinson, J. C., Infinite-Dimensional Dynamical Systems, Cambridge University Press, Cambridge, 2001.
    Schroers, B. J., Ordinary Differential Equations: a Practical Guide, Cambridge University Press, Cambridge, 2011.
    Strogatz, S. H., Nonlinear Dynamics and Chaos, Addison-Wesley, Reading, 1994.
    Thieme, H. R., Mathematics in Population Biology, Princeton University Press, Princeton, 2003.

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