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Mathematical Methods of Analytical Mechanics

1st Edition - November 13, 2020

Author: Henri Gouin

Language: English
Hardback ISBN:
9 7 8 - 1 - 7 8 5 4 8 - 3 1 5 - 8
eBook ISBN:
9 7 8 - 0 - 1 2 - 8 2 2 9 8 6 - 6

Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties associated with Noether's theorem, and highlight… Read more

Mathematical Methods of Analytical Mechanics

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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.