عنوان

Analytical mechanics /

1108241484

9781108241489

1108416586

9781108416580

Analytical mechanics /

[Book]

Nivaldo A. Lemos, Fluminense Federal University.

English edition.

New York, NY :

Cambridge University Press,

2018.

©2018

1 online resource

"Revised and enlarged translation of Mecanixa Analitica by Nivaldo A. Lemos originally published in Portuguese by Editora Livraria da Fisica, Sao Paulo 2004" -- Title page verso.

English edition first published in 2018.

Lagrangian dynamics -- Hamilton's variational principle -- Kinematics of rotationalmotion -- Dynamics of rigid bodies -- Small oscillations -- Relativistic mechanics -- Hamiltonian dynamics -- Canonical transformations -- The Hamilton-Jacobi theory -- Hamiltonian perturbation theory -- Classical field theory.

0

"Analytical Mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian and Hamiltonian dynamics, rigid bodies, small oscillations, canonical transformations and Hamilton-Jacobi theory. This fully up-to-date textbook includes detailed mathematical appendices and addresses a number of advanced topics, some of them of a geometric or topological character. These include Bertrand's theorem, proof that action is least, spontaneous symmetry breakdown, constrained Hamiltonian systems, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate students studying analytical mechanics"--

1108416586

Mecânica analítica.

English

Mechanics, Analytic.

Mechanics, Analytic.

Lemos, Nivaldo A.,1952-

20200822150647.0

rda

[Book]

Y