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As the title suggest I am looking for another good coverage of the theory of Pertubation theory. Currently I am working through Murodock's book: Pertubations: Theory and Methods.

But I am rest assure that the field should have more theory than what is covered in Murdock's, also open theorywise problems are fine by me.

Most books that i found only have technical examples without looking at the theory, I am sure there are technical theorywise books in this field but not sure where to look.

I am asking for regular and singular pertubations, also if you have theoretical books on pertubation theory of PDEs, since Murdock's only deals mainly on ODEs and algebraic polynomials.

Thanks!

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  • $\begingroup$ Tosio Kato. Perturbation theory for linear operators. $\endgroup$
    – Alexandre Eremenko
    Commented Feb 13, 2016 at 13:54
  • $\begingroup$ @AlexandreEremenko does it deal with pertubation theory in PDEs? $\endgroup$
    – Alan
    Commented Feb 13, 2016 at 14:00
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    $\begingroup$ It deals with "theory", as you said. With perturbation theory for linear operators. Linear operators can be differential or not, differential operators can be ordinary or partial. It begins with a large chapter of perturbation of finite dimensional operators. $\endgroup$
    – Alexandre Eremenko
    Commented Feb 13, 2016 at 14:05
  • $\begingroup$ Ok, thanks. I will dive in; seems like a solid foundation for me, theorywise. $\endgroup$
    – Alan
    Commented Feb 13, 2016 at 14:06

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