Name: the geometry of higher-order hamilton spaces (en Inglés)
SKU: 3405522
Price: 104.94 USD
Availability: InStock
Author: miron
ISBN: 9781402015748

portada the geometry of higher-order hamilton spaces (en Inglés)

the geometry of higher-order hamilton spaces (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

miron

Idioma

Inglés

N° páginas

264

ISBN

1402015747

ISBN13

9781402015748

Categorías

Matemáticas aplicadas

the geometry of higher-order hamilton spaces (en Inglés)

Miron (Autor) · Springer · Libro Físico

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Reseña del libro "the geometry of higher-order hamilton spaces (en Inglés)"

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.