1.

Record Nr.

UNINA9910967738903321

Autore

Fasano A (Antonio)

Titolo

Analytical mechanics : an introduction / / Antonio Fasano, Stefano Marmi ; translated by Beatrice Pelloni

Pubbl/distr/stampa

Oxford ; ; New York, : Oxford University Press, c2006

ISBN

1-383-02179-1

1-280-96502-9

0-19-151359-8

Edizione

[1st ed.]

Descrizione fisica

1 online resource (788 p.)

Collana

Oxford graduate texts

Altri autori (Persone)

MarmiS <1963-> (Stefano)

Disciplina

531.01/515

Soggetti

Mechanics, Analytic

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Series statement from jacket.

Nota di bibliografia

Includes bibliographical references (p. [749]-758) and index.

Nota di contenuto

Contents; 1 Geometric and kinematic foundations of Lagrangian mechanics; 2 Dynamics: general laws and the dynamics of a point particle; 3 One-dimensional motion; 4 The dynamics of discrete systems. Lagrangian formalism; 5 Motion in a central field; 6 Rigid bodies: geometry and kinematics; 7 The mechanics of rigid bodies: dynamics; 8 Analytical mechanics: Hamiltonian formalism; 9 Analytical mechanics: variational principles; 10 Analytical mechanics: canonical formalism; 11 Analytic mechanics: Hamilton-Jacobi theory and integrability; 12 Analytical mechanics: canonical perturbation theory

13 Analytical mechanics: an introduction to ergodic theory and to chaotic motion14 Statistical mechanics: kinetic theory; 15 Statistical mechanics: Gibbs sets; 16 Lagrangian formalism in continuum mechanics; Appendices; Bibliography; Index

Sommario/riassunto

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 relevant results of the theory of analytical mechanics, including plenty of examples, exercises, and solved problems.