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I read that Smale recast classical mechanics in terms of symplectic geometry. I know a bit about classical mechanics but nothing about symplectic geometry.

Are there any writings from Smale on this which I could read?

And also what other books or texts are there which cover this?

Thank you!

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    Smale's name is associated more with (classical) dynamical systems than classical mechanics per se.2010-10-15

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I'd recommend Foundations of Mechanics by Abraham and Marsden. It's a huge book, with a very rigorous treatment of mechanics. Altough Smale is not an author, he's heavily cited in the book (by the way, the book provides an excellent bibliography).