Resources and guides about Perturbation theory

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Resources for learning classic Perturbation Theory are being sought, particularly guides and textbooks that cover both foundational and advanced topics. The focus is on transforming singular problems into regular ones and exploring advanced methods like the two-scale method. A recommended resource is "Perturbation Theory of Dynamical Systems," which has a helpful introductory chapter but may be challenging in later sections. The discussion highlights the difficulty in finding suitable materials that balance basic concepts with advanced techniques. Overall, assistance and recommendations for further study are appreciated.
The-herod
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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
 
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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 :eek: (at least for a hobby-physicist like me, maybe for you they are useful).
 
Great, I'll have a look at this now.

Thanks!:smile:
 
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