• Masks covering your nose and mouth are required for entry.
    • If you're placing an order that needs to be shipped, please do so by Monday, December 6 to increase the chances that your order will arrive at its destination by Christmas. Due to supply chain issues and shipping delays, we cannot guarantee that any order will arrive by December 25. 
    • Our online store will be closed beginning December 24 and remain closed through December 26.
    • Both our online and physical store will be closed December 25 & 26.

TOP 21 OF 2021

The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics (Fundamental Theories of Physics #82) (Hardcover)


-Please do not come to the store until you get a confirmation email that your order is complete and ready for pickup!

-Please place orders for pre-order titles separately. If your pre-order is placed with other titles, please note that we will add additional shipping fees.

-Women & Children First is not responsible for lost or stolen packages.

The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics (Fundamental Theories of Physics #82) Cover Image


This monograph is mostly devoted to the problem of the geome- trizing of Lagrangians which depend on higher order accelerations. It naturally prolongs the theme of the monograph "The Geometry of La- grange spaces: Theory and Applications", written together with M. Anastasiei and published by Kluwer Academic Publishers in 1994. The existence of Lagrangians of order k > 1 has been contemplated by mechanicists and physicists for a long time. Einstein had grasped their presence in connection with the Brownian motion. They are also present in relativistic theories based on metrics which depend on speeds and accelerations of particles or in the Hamiltonian formulation of non- linear systems given by Korteweg-de Vries equations. There resulted from here the methods to be adopted in their theoretical treatment. One is based on the variational problem involving the integral action of the Lagrangian. A second one is derived from the axioms of Analytical Mechanics involving the Poincare-Cartan forms. The geometrical methods based on the study of the geometries of higher order could invigorate the whole theory. This is the way adopted by us in defining and studying the Lagrange spaces of higher order. The problems raised by the geometrization of Lagrangians of order k > 1 investigated by many scholars: Ch. Ehresmann, P. Libermann, J. Pommaret; J.T. Synge, M. Crampin, P. Saunders; G.S. Asanov, P.Aringazin; I. Kolar, D. Krupka; M. de Leon, W. Sarlet, P. Cantrjin, H. Rund, W.M. Tulczyjew, A. Kawaguchi, K. Yano, K. Kondo, D.
Product Details
ISBN: 9780792343936
ISBN-10: 079234393X
Publisher: Springer
Publication Date: January 31st, 1997
Pages: 336
Language: English
Series: Fundamental Theories of Physics