Abstract
One of the main reasons why the Hamiltonian formalism is more powerful than the Lagrangian formalism is that the set of coordinate transformations that leave invariant the form of the Hamilton equations is much broader than the set of coordinate transformations that leave invariant the form of the Lagrange equations.
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Torres del Castillo, G.F. (2018). Canonical Transformations. In: An Introduction to Hamiltonian Mechanics. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-95225-3_5
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DOI: https://doi.org/10.1007/978-3-319-95225-3_5
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