Abstract
Perturbation theory consists of a very useful collection of methods for finding approximate solutions of “perturbed” problems which are close to completely solvable “unperturbed” problems. These methods can be easily justified if we are investigating motion over a small interval of time. Relatively little is known about how far we can trust the conclusions of perturbation theory in investigating motion over large or infinite intervals of time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer Science+Business Media New York
About this chapter
Cite this chapter
Arnold, V.I. (1989). Introduction to perturbation theory. In: Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics, vol 60. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2063-1_10
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2063-1_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3087-3
Online ISBN: 978-1-4757-2063-1
eBook Packages: Springer Book Archive