《The Geometry of Higher-order Lagrange Spaces》是1997年出版的圖書，作者是Miron, Radu。
基本介紹
- 外文名：The Geometry of Higher-order Lagrange Spaces
- 作者：Miron, Radu
- 出版時間：1997年1月
- ISBN：9780792343936
內容簡介
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.
