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15. Introduction to Lagrange With Examples
Mathematical Methods of Classical Mechanics
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Skip to main content Skip to table of contents. Advertisement Hide. Mathematical Methods of Classical Mechanics. Authors view affiliations V. Front Matter Pages N3-xvi.
It seems that you're in Germany. We have a dedicated site for Germany. In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance. It is full of historical nuggets, many of them surprising.
Mathematical Methods of Classical Mechanics. Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory.
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