Advanced Mechanics Book: Diff Geom Approach

[NeroKid]

hello guys, I am wondering whether there's any book on classical mechanics on the level of Goldstein but using differential geometry language, no need for introducing to the differential geometry subject but mostly on how to analyse mechanics using it, tks

 

[WannabeNewton]

Hi Nero! There are a wealth of books on that at different levels depending on how much differential geometry, particularly symplectic geometry, you already know. Some examples of introductory texts/notes:
https://www.amazon.com/dp/0387968903/?tag=pfamazon01-20
https://www.amazon.com/dp/0817641459/?tag=pfamazon01-20
http://math.ucr.edu/home/baez/classical/
https://www.amazon.com/dp/0521636361/?tag=pfamazon01-20
https://www.amazon.com/dp/0387406158/?tag=pfamazon01-20
https://www.amazon.com/dp/038798643X/?tag=pfamazon01-20

 

[NeroKid]

tks for your recommendation