The reference to Arnol'd is a bit misleading. Indeed Arnol'd writes about first integrals, but not in particular in the referenced book. A much better reference would be his book titled Ordinary Differential Equations. Consider as a reference: Arnol'd, V.I., Ordinary Differential Equations (New York, 1992)
In chapter 2 section 10.5, page 125, Arnol'd explains this subject very clearly.
- Thank you.
- And please sign your messages (on talk pages) by four tildas: ~~~~. Boris Tsirelson (talk) 19:28, 14 January 2015 (CET)
- Well, I've added "Ordinary Differential Equations". However, I did not remove "Mathematical methods of classical mechanics", since I am not sure: maybe Camillo Delellis added it in relation to (say) Hamilton systems rather that first integrals in general. Boris Tsirelson (talk) 19:42, 15 January 2015 (CET)
First integral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=First_integral&oldid=36266