What is a good book for Analytical Mechanics?
To be more specific, I would prefer a book that:
Does this kind of thing exist?
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Mathematical Methods of Classical Mechanics by Vladimir Arnold. Off-topic, but also a very interesting read is his essay On teaching mathematics.
If you are a mathematician the book, even though it is a bit old fashioned, "A treatise on analytical dynamics of particles and rigid bodies" by E.T. Whittaker, Cambridge University Press would be found useful.
Try "Classical Dynamics", 5th edition by Stephen Thornton and Jerry B. Marion and you would not regret it.
I'd suggest Foundations of Mechanics by Abraham and Marsden.
Why not try Landau and Lifshitz Volume 1 on Classical Mechanics? It's a very good, short and dense text which is time tested and wonderfully written.
Ar do you want something different?
