# Mathematical Methods of Analytical Mechanics

- Author : Henri Gouin
- Publsiher : Elsevier
- Release : 27 November 2020
- ISBN : 9780128229866
- Page : 320 pages
- Rating : 4/5 from 21 voters

Download or read online book entitled Mathematical Methods of Analytical Mechanics written by Henri Gouin and published by Elsevier. This book was released on 27 November 2020 with total page 320 pages. Available in PDF, EPUB and Kindle. Get best books that you want by click Get Book Button and Read as many books as you like. Book Excerpt : 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. Helps readers understand calculations surrounding the geometry of the tensor and the geometry of the calculation of the variation Presents principles that correspond to the energy conservation of material systems Defines the invariance properties associated with Noether's theorem Discusses phase space and Liouville's theorem Identifies small movements and different types of stabilities