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Analytical mechanics [electronic resource] : an introduction / Antonio Fasano, Stefano Marmi ; translated by Beatrice Pelloni.

By: Fasano, A. (Antonio).
Contributor(s): Marmi, S. (Stefano), 1963-.
Material type: TextTextSeries: Oxford graduate texts: Publisher: Oxford : Oxford University Press, c2006Description: 1 online resource (xiii, 772 p.) : ill.ISBN: 9780191513596 (electronic bk.); 0191513598 (electronic bk.); 1280965029; 9781280965029.Uniform titles: Meccanica analitica. English Subject(s): Mechanics, Analytic | SCIENCE -- Mechanics -- General | SCIENCE -- Mechanics -- Solids | Theoretische MechanikGenre/Form: Electronic books.Additional physical formats: Print version:: Analytical mechanics.DDC classification: 531.01/515 Other classification: PHZ 200f | UF 1000 Online resources: EBSCOhost
Contents:
Geometric and kinematic foundations of lagrangian mechanics -- Dynamics : general laws and the dynamics of a point particle -- One-dimensional motion -- The dynamics of discrete systems : Lagrangian fomalism -- Motion in a central field -- Rigid bodies : geometry and kinematics -- The mechanics of rigid bodies : dynamics -- Analytical mechanics : Hamiltonian formalism -- Analytical mechanics : variational principles -- Analytical mechanics : canonical formalism -- Analytic mechanics : Hamilton-Jacobi theory and integrability -- Analytical mechanics : canonical perturbation theory -- Analytical mechanics : an introduction to ergodic theory and the chaotic motion -- Statistical mechanics : kinetic theory -- Statistical mechanics : Gibbs sets -- Lagrangian formalism in continuum mechanics.
Summary: Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems. - ;Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics. Rooted in the works of Lagrange, Euler, Poincar--eacute--; (to mention just a few), it is a very classical subject with fascinating developments and still rich of open problems. It addres.
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Includes bibliographical references (p. [749]-758) and index.

Translated from the Italian.

Geometric and kinematic foundations of lagrangian mechanics -- Dynamics : general laws and the dynamics of a point particle -- One-dimensional motion -- The dynamics of discrete systems : Lagrangian fomalism -- Motion in a central field -- Rigid bodies : geometry and kinematics -- The mechanics of rigid bodies : dynamics -- Analytical mechanics : Hamiltonian formalism -- Analytical mechanics : variational principles -- Analytical mechanics : canonical formalism -- Analytic mechanics : Hamilton-Jacobi theory and integrability -- Analytical mechanics : canonical perturbation theory -- Analytical mechanics : an introduction to ergodic theory and the chaotic motion -- Statistical mechanics : kinetic theory -- Statistical mechanics : Gibbs sets -- Lagrangian formalism in continuum mechanics.

Description based on print version record.

Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems. - ;Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics. Rooted in the works of Lagrange, Euler, Poincar--eacute--; (to mention just a few), it is a very classical subject with fascinating developments and still rich of open problems. It addres.

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Analytical mechanics by Fasano, A. ©2006
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