Good book for Analytical Mechanics What is a good book for Analytical Mechanics?
To be more specific, I would prefer a book that:


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*Is written "for mathematicians", i.e. with high mathematics precision (for example, with less emphasis on obscure definitions such as "virtual displacements").

*However, it must not assume graduate-level mathematics such as differential geometry.


Does this kind of thing exist?
 A: 
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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. 
A: 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?
