Gouin Mathematical Methods of Analytical Mechanics

1. Auflage 2020
ISBN: 978-0-12-822986-6
Verlag: Elsevier Reference Monographs
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 320 Seiten

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 variationPresents principles that correspond to the energy conservation of material systemsDefines the invariance properties associated with Noether's theoremDiscusses phase space and Liouville's theoremIdentifies small movements and different types of stabilities

Henri Gouin, is a specialist of continuum mechanics in which he has published numerous articles. He holds a BSE, a master's degree, aggregation in mathematics from the University of Paris and Ecole Normale Supérieure de Saint-Cloud, and a PhD and a State Doctorate in mathematics from the University of Provence. Professor at the university, he taught the analytical mechanics course for ten years at the Faculty of Sciences of Marseille. He is now Professor Emeritus at the University of Aix-Marseille, France.

Autoren/Hrsg.

Gouin, Henri