Analytical Mechanics (2nd Revised Edition)

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Download Analytical Mechanics (2nd Revised Edition) written by Nivaldo A. Lemos in PDF format. This book is under the category Engineering and bearing the isbn/isbn13 number 1108416586/978-1108416580. You may reffer the table below for additional details of the book.

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Description

Analytical Mechanics 2nd edition (PDF) revised; is the foundation of many areas of theoretical physics including statistical mechanics and quantum theory; and has wide-ranging applications in celestial and engineering mechanics. This introduction to the basic principles and methods of analytical mechanics covers Hamiltonian and Lagrangian dynamics; small oscillations; rigid bodies; canonical transformations and Hamilton–Jacobi theory. This fully up-to-date PDF etextbook includes detailed mathematical appendices and addresses a number of advanced topics; some of them of a topological or geometric character. These include constrained Hamiltonian systems; Bertrand’s theorem; spontaneous symmetry breakdown; proof that action is least; non-integrability criteria; KAM theory; Lyapunov functions; classical field theory; geometric phases and Poisson manifolds. Providing good worked examples; end-of-chapter problems; and discussion of ongoing research in the field; it is suitable for graduate students and advanced undergraduate students studying analytical mechanics.

NOTE: This Analytical Mechanics 2e PDF does not include any online access codes

Additional information

book-author

Nivaldo A. Lemos

publisher

Cambridge University Press; 2nd edition Revised

file-type

PDF

pages

470 pages

language

English

asin

B07FGS6W1H

isbn10

1108416586

isbn13

978-1108416580

Table of contents


Table of contents :
Content: 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.

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