Technical The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics (079234393X)

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R. Miron "The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics"

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.

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	Science/Engineering Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics D.H. Sattinger, O.L. Weaver, "Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics" Springer \| 1993-09-10 \| ISBN: 0387962409 \| 215 pages \| Djvu \| 1,1 MB This is an introductory text on Lie groups and algebras an ...
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	Science/Engineering Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics D.H. Sattinger, O.L. Weaver, "Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics" Springer \| 1993-09-10 \| ISBN: 0387962409 \| 215 pages \| Djvu \| 1,1 MB This is an introductory text on Lie groups and algebras an ...
	Science/Engineering Intensional and higher-order modal logic: With applications to Montague semantics Daniel Gallin, “Intensional and higher-order modal logic: With applications to Montague semantics” American Elsevier Pub. Co \| 1975 \| ISBN: 044411002X \| 148 pages \| PDF \| 4,5 MB Intensional and higher-order modal logic: With application ...
	Science/Engineering Differential Geometry with Applications to Mechanics and Physics (Pure and Applied Mathematics): Yves Talpaert Differential Geometry with Applications to Mechanics and Physics (Pure and Applied Mathematics): Yves Talpaert CRC \| ISBN: 0824703855 \| 2000-09-12 \| djvu (ocr) \| 454 pages \| 5.31 Mb Compiling data on submanifolds, tangent bundles and space ...
	The Geometry of Higher-Order Hamilton Spaces R. Miron "The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics"Springer \| English \| 2003-10-31 \| ISBN: 1402015747 \| 264 pages \| DJVU \| 1,9 MBThis book is the first to present an overview of higher-orde ...
	The Geometry of Higher-Order Lagrange Spaces R. Miron "The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics"Springer \| English \| 1997-01-31 \| ISBN: 079234393X \| 356 pages \| DJVU \| 2,4 MBThis monograph is devoted to the problem of the geometrizing ...
	Mathematics The Geometry of Hamilton and Lagrange Spaces R. Miron, Dragos Hrimiuc, Hideo Shimada, Sorin V. Sabau,

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