what's the best book on Analytical mechanics?

Goldstein

>>8719785
fpbp

>>8719785
that's classical mechanics though.

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I learned it from Nolting, but that might never have been translated to English.
The interenet still seems to think Vladimir Arnolds mechanics, and then Landau.

For what do you need it anyway? I feel it's mostly a jumpoff ground to other topics.
Maybe if you search aming books on Symplectic geometry you find somethung nice.

>>8719802
>Symplectic geometry
will check it out. it's not a need just want to learn it.

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>>8719825
In sympathetic geometry you have a topological manifold and a tensor w - just like with a Riemann space, but the tensor isn't a symmetric metric g.

The simplest example would be, in components, the 2x2 matrix
w = ((0, 1), (-1, 0))
So if in R^2 you consider a vector X := (q, p) as a function of time and the function H = p^2 / (2m) + U(q), then the flow equation

(∂/∂t) X = w · (∂/∂q, ∂/∂p) H
expresses
mv = p
F = -∂/∂q U(q)

So symplectic geometry is the math field where you just look at even-dimensional spaces with w's (and any functions on that space, such as H), and before you know it you derived all the math to be interpreted as of classical mechanics.

https://en.wikipedia.org/wiki/Hamiltonian_vector_field