Analytical mechanics / Nivaldo A. Lemos, Fluminense Federal University.
By: Lemos, Nivaldo A [author.].
Publisher: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018Description: 459p.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781108416580.Uniform titles: Mecânica analítica. English Subject(s): Mechanics, AnalyticGenre/Form: Print books.Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|
On Shelf | QA805 .L4313 2018 (Browse shelf) | Available | AU00000000012610 |
Browsing Alfaisal University Shelves , Shelving location: On Shelf Close shelf browser
QA805 .B256 2017 Advanced classical mechanics / | QA805 .G653 2006 Classical mechanics : an undergraduate text / | QA805 .K64 2014 An introduction to mechanics | QA805 .L4313 2018 Analytical mechanics / | QA807 .B64 2018 A student's guide to analytical mechanics / | QA807 .F848 2017 Classical and computational solid mechanics / | QA808.5 .J64 2016 Analytical mechanics for relativity and quantum mechanics / |
Includes bibliographical references and index.
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.
"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"--