£107.98

Springer - Geometry of Higher-Order Lagrange Spaces - Vol 82

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Description

This specialized monograph from Springer provides a deep exploration of the geometrization of Lagrangians that depend on higher-order accelerations. As part of the Fundamental Theories of Physics series, volume 82 offers a rigorous construction of the geometry within the total space of the bundle of accelerations for orders k>=1. Readers will find a comprehensive geometrical study of higher-order Lagrange spaces, including a solution to the long-standing problem of prolonging Riemannian spaces to k-osculator manifolds. The text also addresses the geometrical foundations required for variational calculus when dealing with the integral of actions involving higher-order Lagrangians. This work is designed for researchers and academics seeking advanced applications in higher-order analytical mechanics and theoretical physics. It serves as a vital resource for those studying the mathematical structures that underpin complex physical systems and mechanical theories.

Key Features

Explores the geometrization of Lagrangians depending on higher-order accelerations for advanced physics research.

Provides a detailed construction of the geometry of the total space of the bundle of accelerations for k>=1.

Solves the mathematical problem of prolonging Riemannian spaces to k-osculator manifolds.

Covers the geometrical ground for variational calculus on the integral of actions with higher-order Lagrangians.

Offers direct applications to higher-order analytical mechanics and theoretical physics studies.

Part of the respected Fundamental Theories of Physics series published by Springer.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
04 December 2010
Listed Since
01 October 2010

Barcode

No barcode data available

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