The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.

Hersteller:
Springer Verlag GmbH
juergen.hartmann@springer.com
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InhaltsangabeBasic Principles of Classical Mechanics.- The n-Body Problem.- Symmetry Groups and Order Reduction.- Variational Principles and Methods.- Integrable Systems and Integration Methods.- Perturbation Theory for Integrable Systems.- Non-Integrable Systems.- Theory of Small Oscillations.- Tensor Invariants of Equations of Dynamics.

1 Basic Principles of Classical Mechanics.- 2 The n-Body Problem.- 3 Symmetry Groups and Order Reduction.- 4 Variational Principles and Methods.- 5 Integrable Systems and Integration Methods.- 6 Perturbation Theory for Integrable Systems.- 7 Non-Integrable Systems.- 8 Theory of Small Oscillations.- 9 Tensor Invariants of Equations of Dynamics.- Recommended Reading.- Bibliography.