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Record Nr. |
UNINA9910824396103321 |
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Autore |
Fasano A (Antonio) |
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Titolo |
Analytical mechanics [[electronic resource] ] : an introduction / / Antonio Fasano, Stefano Marmi ; translated by Beatrice Pelloni |
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Pubbl/distr/stampa |
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Oxford ; ; New York, : Oxford University Press, c2006 |
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ISBN |
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1-383-02179-1 |
1-280-96502-9 |
0-19-151359-8 |
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Descrizione fisica |
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1 online resource (788 p.) |
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Collana |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Series statement from jacket. |
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Nota di bibliografia |
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Includes bibliographical references (p. [749]-758) and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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