Introduction to Mechanics and Symmetry¶
Marsden, J. E., & Ratiu, T. S. (1994). Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems. Springer-Verlag.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Noether's Theorem
- Modern expositions by Marsden-Ratiu (1994)
This sourceSymplectic-geometric treatment of mechanics and the action principle; phase space as symplectic manifold; Hamiltonian vector fields and symmetries; modern differential-geometric perspective. Foundation for understanding action principle as geometric structure on phase space.
- Modern expositions by Marsden-Ratiu (1994)
- Phase Space
This sourceSymplectic-geometric treatment of mechanics and the action principle; phase space as symplectic manifold; Hamiltonian vector fields and symmetries; modern differential-geometric perspective. Foundation for understanding action principle as geometric structure on phase space.
- Principle of Least Action
- and Hamilton's principle is the foundational theorem of symplectic geometry
This sourceSymplectic-geometric treatment of mechanics and the action principle; phase space as symplectic manifold; Hamiltonian vector fields and symmetries; modern differential-geometric perspective. Foundation for understanding action principle as geometric structure on phase space.
- and Hamilton's principle is the foundational theorem of symplectic geometry
Verification¶
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Registry ID ref:ac4991230f32 · see in the full table