Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Geometry Of Higher-Order Hamilton Spaces; Applications to
  Hamiltonian Mechanics   The book can be divided in three parts: the Lagrange geometry of order $k$,
presented in the first three chapters, the geometrical theory of the dual
manifolds $T^{*k}M$ - chapters 4-7 and the geometry of Hamilton spaces of order
$k$ and their subspaces, contained in the last four chapters. They are studied
directly and as 'dual' geometry, via Legendre transformation.

25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph