这门课的参考文献，居然是我要出来的，不要都没打算给的么。。。

Here is the list of books and articles, I mentioned last lecture.

1) Nice overview of the subject in general me and A.T.Fomenko wrote a couple of years ago
https://www.sciencedirect.com/science/article/pii/S0166864111005773

2) This book does not exist in english, only in russian
https://biblio.mccme.ru/node/2017/shop

The closest analog in english is this
https://books.google.ru/books?id=XeIx_fLQw_kC&printsec=frontcover&redir_esc=y#v=onepage&q&f=false

but it lacks some theorems and proofs. It contains a nice introduction into the classical mechanics we use.

3) Another good book is
https://www.amazon.com/Introduction-Symplectic-Topology-Graduate-Mathematics/dp/0198794908

The Moser's trick and homotopic approach to some proofs is taken from there

4) This book is must read
https://www.amazon.de/Integrable-Hamiltonian-Systems-Geometry-Classification/dp/0415298059

The case of four-dimensional phase space is from this book

5) This is an important article, which was to be transformed into the book, but it never happened. It unifies the approach to both infinite dimensional and finite-dimensional integrable systems

https://homepage.mi-ras.ru/~snovikov/98.pdf
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