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题名/责任者:

Analytical mechanics / Nivaldo A. Lemos, Fluminense Federal University.

出版发行项:

Cambridge, United Kingdom : Cambridge University Press, 2018.

ISBN:

9781108416580 (hardback)

ISBN:

1108416586 (hardback)

载体形态项:

xiii, 459 pages : illustrations ; 26 cm.

个人责任者:

Lemos, Nivaldo A., 1952- author.

论题主题:

Mechanics, Analytic.

中图法分类号:

O316

书目附注:

Includes bibliographical references (pages 442-451) and index.

内容附注:

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.

摘要附注:

"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."--Provided by publisher.

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