Einführung in die Mechanik und Symmetrie

DOI10.1007/978-3-642-56859-6zbMath0981.70001OpenAlexW2502611625MaRDI QIDQ2711435

Jerrold E. Marsden, Tudor S. Ratiu

Publication date: 24 April 2001

Full work available at URL: https://doi.org/10.1007/978-3-642-56859-6

zbMATH Keywords

symmetrydifferential formsLie groupsreductionsymplectic manifoldsdifferentiable manifoldsLegendre transformcalculus of variationsPoisson manifoldsHamiltonian mechanicsmomentum mapsLagrangian mechanicscotangent bundlesLagrange-d'Alembert principleinfinite-dimensional Hamiltonian systemssymplectic vector spaceSchouten bracketsco-adjoint orbitsdynamics of rigid bodies

Mathematics Subject Classification ID

Dynamics of a rigid body and of multibody systems (70Exx) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01) Hamiltonian and Lagrangian mechanics (70Hxx) Nonlinear dynamics in mechanics (70Kxx) Dynamics of a system of particles, including celestial mechanics (70Fxx) General models, approaches, and methods in mechanics of particles and systems (70Gxx)

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