Mathematical Methods of Classical Mechanics¶
Arnold, V. I. (1989). Mathematical Methods of Classical Mechanics. Springer-Verlag.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Phase Space
This sourceComprehensive modern treatment of symplectic geometry and Hamiltonian mechanics on manifolds; develops geometric methods for analyzing phase-space structure in classical mechanics.
Domain-specific¶
- Liouville Dynamical System
- The Liouville coordinate form supplies a particularly explicit route to integrals and quadratures, but the Liouville–Arnold theorem does not require Hamilton–Jacobi separation in this form
This sourceThe canonical statement and proof of the Liouville-Arnold theorem, whose hypotheses are independent first integrals in involution on compact connected level sets - no separability requirement, which is the point the sentence rests on.
- The Liouville coordinate form supplies a particularly explicit route to integrals and quadratures, but the Liouville–Arnold theorem does not require Hamilton–Jacobi separation in this form
Verification¶
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