Resources and guides about Perturbation theory

[The-herod]

Hello,

I have to learn about the classic Perturbation Theory.
I'm looking for guides, textbooks etc about Perturbation Theory. I already know the basis (Poincare method), but I found it hard to find resources for more advanced material on the one hand, that will also teach it from basis on the other. I'm trying to focus now on methods to transform of singular problems to regular problems, and more advanced methods (like the two scale method).

I'll really appreciate any help and so. I'm pretty stuck now...

Thanks a lot!
Gal

 

[Oberst Villa]

You might have a look at "Perturbation theory of dynamical systems" http://arxiv.org/abs/math/0111178

The first introductory chapter is quite nice, but the other chapters are very mathematical and very frightening (at least for a hobby-physicist like me, maybe for you they are useful).

 

[The-herod]

Great, I'll have a look at this now.

Thanks!