https://www.newsmth.net/nForum/#!article/Mechanics/58154https://mp.weixin.qq.com/s/IjmvnrfQJkpG8bZ-WZTMEg
2023年秋季学期俄罗斯专家线上课程介绍
中俄数学中心 SRMC 2023-08-24 16:11 发表于北京
01
Geometry and topology of integrable Hamiltonian systems
这门课的推荐书目，里面居然有个 must read, 给了个德文亚马逊链接。。。
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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