Read The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics Book 132)

The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics Book 132)

R. Miron

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Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics Book 132). To get started finding The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics Book 132), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 9401000700

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics Book 132). To get started finding The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics Book 132), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics Book 132)

The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics Book 132)

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