Table of contents for Mathematical aspects of classical and celestial mechanics / Vladimir I. Arnold, Valery V. Kozlov, Anatoly I. Neishtadt.
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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.
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