The Geometry of Higher-Order Hamilton Spaces (1402015747)

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R. Miron ": Applications to Hamiltonian Mechanics"

This book is the first to present an overview of higher-order Hamilton geometry with applications to higher-order Hamiltonian mechanics. It is a direct continuation of the book The Geometry of Hamilton and Lagrange Spaces, (Kluwer Academic Publishers, 2001). It contains the general theory of higher order Hamilton spaces H(k)n, k>=1, semisprays, the canonical nonlinear connection, the N-linear metrical connection and their structure equations, and the Riemannian almost contact metrical model of these spaces. In addition, the volume also describes new developments such as variational principles for higher order Hamiltonians; Hamilton-Jacobi equations; higher order energies and law of conservation; Noether symmetries; Hamilton subspaces of order k and their fundamental equations. The duality, via Legendre transformation, between Hamilton spaces of order k and Lagrange spaces of the same order is pointed out. Also, the geometry of Cartan spaces of order k =1 is investigated in detail. This theory is useful in the construction of geometrical models in theoretical physics, mechanics, dynamical systems, optimal control, biology, economy etc. Audience: Mathematicians, geometers, physicists and engineers. The volume can be recommended as a supplementary graduate text.

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	Science/Engineering Introduction to Higher-Order Categorical Logic J. Lambek, P. J. Scott “Introduction to Higher-Order Categorical Logic" Cambridge University Press \| 1988-03-25 \| ISBN: 0521356539 \| 304 pages \| PDF \| 30 MB
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	Science/Engineering Introduction to Higher-Order Categorical Logic J. Lambek, P. J. Scott “Introduction to Higher-Order Categorical Logic" Cambridge University Press \| 1988-03-25 \| ISBN: 0521356539 \| 304 pages \| PDF \| 30 MB
	Study Theorem Proving in Higher Order Logics Theorem Proving in Higher Order LogicsSpringer \| ISBN: 3540710655 \| 2008-09-11 \| PDF \| 321 pages \| 4 Mb This book constitutes the refereed proceedings of the 21st International Conference on Theorem Proving in Higher Order Logics, TPHOLs 20 ...
	Family & Home Consciousness: Essays from a Higher-Order Perspective Consciousness: Essays from a Higher-Order Perspective Publisher: Oxford University Press \| ISBN: 0199277362 \| edition 2005 \| PDF \| 258 pages \| 2,66 mbPeter Carruthers's essays on consciousness and related issues have had a substantial impa ...
	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,
	Technical The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics 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-order Hamilt ...

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