I am looking for a book or lecture notes that doesn't just describe the theory of Lagrangian and Hamiltonian mechanics, but places strong emphasis on dealing with these topics computationally. Any computational physics book or lecture notes that I come across seems to be either a very basic introduction to standard numerical methods, or else focuses on very elementary physics.

So does anyone know any resource that may be of use? I would not normally ask for a resource recommendation on stackexchange sites but I have had no luck after lots of searching the net.

  • $\begingroup$ Goldstein "Classical Mechanics" is the standard one. $\endgroup$ – gented Jul 27 '17 at 16:03
  • $\begingroup$ @GennaroTedesco: What numerical computations are in Goldstein? While I haven't looked at it in a looong time, I don't recollect any numerical problems in the text. $\endgroup$ – Kyle Kanos Jul 27 '17 at 16:09
  • $\begingroup$ Ooops, I might have misinterpreted the word "computation": I meant "calculations" while I now realise that the question might mean "computer computations". In that case ignore my comment (I will delete it if so). $\endgroup$ – gented Jul 27 '17 at 16:42
  • $\begingroup$ @GennaroTedesco Moreover, if I would have suggested Goldstein 20 years ago, I think that nowadays there are much better books, e.g. Scheck or Straumann (in German). They are not computationally oriented, though. $\endgroup$ – Massimo Ortolano Jul 27 '17 at 18:03
  • $\begingroup$ Structure and Interpretation of Classical Mechanics $\endgroup$ – Alex Nelson Jul 27 '17 at 18:11