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

Format:

Book

Author/Creator:

Fasano, A. (Antonio), author.

Marmi, S. (Stefano), 1963- author.

Series:

Oxford graduate texts.

Oxford scholarship online.

Oxford graduate texts

Oxford scholarship online

Standardized Title:

Meccanica analitica. English

Language:

English

Subjects (All):

Mechanics, Analytic.

Physical Description:

1 online resource (788 p.)

Edition:

1st ed.

Place of Publication:

Oxford : Oxford University Press, 2023.

Language Note:

English

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

Contents:

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

Notes:

Translated from the Italian.

Formerly CIP.

Previously issued in print: 2006.

Includes bibliographical references and index.

Derived record based on print version record and publisher information.

ISBN:

1-383-02179-1

1-280-96502-9

0-19-151359-8

OCLC:

476256837