Introduction to perturbation theory

  • V. I. Arnold
Part of the Graduate Texts in Mathematics book series (GTM, volume 60)


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.


Perturbation Theory Action Variable Periodic Motion Symplectic Manifold Trigonometric Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • V. I. Arnold
    • 1
  1. 1.Department of Mathematics Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

Personalised recommendations