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  3. Ordinary Differential Equations
  • Cited by 18
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2011
Online ISBN:
9781139057707
DOI:
https://doi.org/10.1017/CBO9781139057707
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Physics and Astronomy, Mathematical Methods, General and Classical Physics
Series:
AIMS Library of Mathematical Sciences
Information

Book description

Ordinary Differential Equations introduces key concepts and techniques in the field and shows how they are used in current mathematical research and modelling. It deals specifically with initial value problems, which play a fundamental role in a wide range of scientific disciplines, including mathematics, physics, computer science, statistics and biology. This practical book is ideal for students and beginning researchers working in any of these fields who need to understand the area of ordinary differential equations in a short time.

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Contents

Contents
References
References
References
[1] J., Hale, Ordinary Differential Equations, Dover Publications, 2009.
[2] P. E., Hydon, Symmetry Methods for Differential Equations, Cambridge University Press, Cambridge, 2000.
[3] D. W., Jordan and P., Smith, Nonlinear Ordinary Differential Equations, Third Edition, Oxford University Press, Oxford, 1999.
[4] S. J., Chapman, J., Lottes and L. N., Trefethen, Four Bugs on a Rectangle, Proc. Roy. Soc. A, 467 (2011), 881–896.
[5] B. J., Schroers, Bogomol'nyi Solitons in a Gauged O(3) Sigma Model, Physics Letters B, 356 (1995), 291–296; also available as an electronic preprint at http://xxx.soton.ac.uk/abs/hepth/9506004.
[6] S. H., Strogatz, D. M., Abrams, A., McRobie, B., Eckhardt and E., Ott, Crowd Synchrony on the Millennium Bridge, Nature, 438 (2005), 43–44.
[7] M., Abrams, Two coupled oscillator models: The Millennium Bridge and the chimera state, PhD Dissertation, Cornell University, 2006.
[8] P., Dallard, A. J., Fitzpatrick, A., Flint, S. Le, Bourva, A., Low, R. M., R. Smith and M. Willford, The Millennium Bridge London: Problems and Solutions, The Structural Engineer, 79:22 (2001), 17–33.
[9] M., Atiyah and N., Hitchin, Geometry and Dynamics of Magnetic Monopoles, Princeton University Press, Princeton, 1988.

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