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The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics: 82 1st ed. Softcover of orig. ed. 1997 Edition
Author(s): R. Miron (Author)
- Publisher: Springer
- Publication Date: 4 Dec. 2010
- Edition: 1st ed. Softcover of orig. ed. 1997
- Language: English
- Print length: 351 pages
- ISBN-10: 9048147891
- ISBN-13: 9789048147892
Book Description
This monograph is devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations. It presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. A geometrical study of the notion of the higher-order Lagrange space is conducted, and the old problem of prolongation of Riemannian spaces to k-osculator manifolds is solved. Also, the geometrical ground for variational calculus on the integral of actions involving higher-order Lagrangians is dealt with. Applications to higher-order analytical mechanics and theoretical physics are included as well. Audience: This volume will be of interest to scientists whose work involves differential geometry, mechanics of particles and systems, calculus of variation and optimal control, optimization, optics, electromagnetic theory, and biology.
