Mathematical Methods of Analytical Mechanics uses tensor geometry
and geometry of variation calculation, includes the properties
associated with Noether's theorem, and highlights methods of
integration, including Jacobi's method, which is deduced. In
addition, the book covers the Maupertuis principle that looks at
the conservation of energy of material systems and how it leads to
quantum mechanics. Finally, the book deduces the various spaces
underlying the analytical mechanics which lead to the Poisson
algebra and the symplectic geometry.
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