The Geometry of Higher-Order Lagrange Spaces

Applications to Mechanics and Physics

By:

R. Miron

Format:

Hardback

Series:

Fundamental Theories of Physics

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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.

Release date Australia

January 31st, 1997

Author

R. Miron

Audience

Professional & Vocational

Illustrations

XV, 336 p.

Pages

336

Series

Fundamental Theories of Physics

Dimensions

210x297x20

ISBN-13

9780792343936

Product ID

2051466

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