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  3. Mathematical Modelling in One Dimension
Publisher:
Cambridge University Press
Online publication date:
March 2013
Print publication year:
2013
Online ISBN:
9781139565370
DOI:
https://doi.org/10.1017/CBO9781139565370
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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