Download E-books The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics) PDF

By R. Miron

This booklet is the 1st to provide an outline of higher-order Hamilton geometry with functions to higher-order Hamiltonian mechanics. it's a direct continuation of the booklet The Geometry of Hamilton
and Lagrange Spaces,
(Kluwer educational Publishers, 2001). It comprises the overall concept of upper order Hamilton areas H(k)n, k>=1, semisprays, the canonical nonlinear connection,
the N-linear metrical connection and their constitution equations, and the Riemannian virtually touch metrical version of those areas. additionally, the quantity additionally describes new advancements resembling variational ideas for
larger order Hamiltonians; Hamilton-Jacobi equations; greater order energies and legislation of conservation; Noether symmetries; Hamilton subspaces of order ok and their basic equations. The duality, through Legendre transformation,
among Hamilton areas of order okay and Lagrange areas of an analogous order is mentioned. additionally, the geometry of Cartan areas of order okay =1 is investigated intimately. This thought comes in handy within the development of geometrical
types in theoretical physics, mechanics, dynamical platforms, optimum keep watch over, biology, economic system and so on.

Show description

Read Online or Download The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics) PDF

Best Differential Geometry books

Harmonic Analysis and Special Functions on Symmetric Spaces (Perspectives in Mathematics)

The 2 elements of this sharply centred publication, Hypergeometric and specific features and Harmonic research on Semisimple Symmetric areas, are derived from lecture notes for the eu college of team thought, a discussion board offering high-level classes on contemporary advancements in staff conception. The authors supply scholars and researchers with a radical and considerate evaluation, elaborating at the subject with transparent statements of definitions and theorems and augmenting those withtime-saving examples.

Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)

Bundles, connections, metrics and curvature are the 'lingua franca' of contemporary differential geometry and theoretical physics. This ebook will offer a graduate pupil in arithmetic or theoretical physics with the basics of those gadgets. a few of the instruments utilized in differential topology are brought and the elemental effects approximately differentiable manifolds, tender maps, differential kinds, vector fields, Lie teams, and Grassmanians are all offered the following.

An Introduction to Riemann-Finsler Geometry (Graduate Texts in Mathematics)

This ebook makes a speciality of the effortless yet crucial difficulties in Riemann-Finsler Geometry, which come with a repertoire of tension and comparability theorems, and an array of particular examples, illustrating many phenomena which admit in simple terms Finslerian interpretations. "This booklet bargains the main sleek therapy of the subject …" EMS e-newsletter.

Topology of Surfaces, Knots, and Manifolds

Topology of Surfaces, Knots, and Manifolds bargains an intuition-based and example-driven method of the elemental rules and difficulties related to manifolds, rather one- and two-dimensional manifolds. a mix of examples and routines leads the reader to count on basic definitions and theorems relating curves, surfaces, knots, and links--the items of curiosity within the attractive set of mathematical principles referred to as "rubber sheet geometry.

Extra resources for The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics)

Show sample text content

Rated 4.26 of 5 – based on 15 votes