Technical The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (1402015747)

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R. Miron "The Geometry of Higher-Order Hamilton Spaces: 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 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 ...
	Study Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics Marco Pettini "Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics"Springer \| 2007-07-13 \| ISBN: 038730892X \| 459 pages \| PDF \| 6 MBThis book explores the foundations of hamiltonian dynamical systems and statistical mech ...
	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 ...
	Global Behavior of Nonlinear Difference Equations of Higher Order with Applications V. L. Kocic, "Global Behavior of Nonlinear Difference Equations of Higher Order with Applications" Springer Netherlands \| 2009 \| ISBN: 9048142733 \| 240 pages \| Djvu \| 3,4 MB This volume presents a systematic study of the global behaviou ...
	Mathematics The Geometry of Hamilton and Lagrange Spaces R. Miron, Dragos Hrimiuc, Hideo Shimada, Sorin V. Sabau,

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	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 ...
	Study Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics Marco Pettini "Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics"Springer \| 2007-07-13 \| ISBN: 038730892X \| 459 pages \| PDF \| 6 MBThis book explores the foundations of hamiltonian dynamical systems and statistical mech ...
	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 ...
	Global Behavior of Nonlinear Difference Equations of Higher Order with Applications V. L. Kocic, "Global Behavior of Nonlinear Difference Equations of Higher Order with Applications" Springer Netherlands \| 2009 \| ISBN: 9048142733 \| 240 pages \| Djvu \| 3,4 MB This volume presents a systematic study of the global behaviou ...
	Mathematics The Geometry of Hamilton and Lagrange Spaces R. Miron, Dragos Hrimiuc, Hideo Shimada, Sorin V. Sabau,

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