Download E-books The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics (Fundamental Theories of Physics) PDF
This monograph is dedicated to the matter of the geometrizing of Lagrangians which depend upon higher-order accelerations. It offers a development of the geometry of the full house of the package deal of the accelerations of order k>=1. a geometric examine of the thought of the higher-order Lagrange house is performed, and the outdated challenge of prolongation of Riemannian areas to k-osculator manifolds is solved. additionally, the geometrical flooring for variational calculus at the essential of activities regarding higher-order Lagrangians is handled. functions to higher-order analytical mechanics and theoretical physics are incorporated besides. viewers: This quantity could be of curiosity to scientists whose paintings contains differential geometry, mechanics of debris and platforms, calculus of edition and optimum keep an eye on, optimization, optics, electromagnetic idea, and biology.