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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

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Author(s): Edmund Taylor Whittaker
Edition: 2
Publisher: Cambridge University Press
Year: 1917

Language: English
Pages: 444
City: Cambridge

1 Kinematical Preliminaries
2 The Equations of Motion
3 Principles Available for the Integration
4 The Soluble Problems of Analytical Dynamics
5 The Dynamical Specification of Bodies
6 The Soluble Problems of Rigid Dynamics
7 Theory of Vibrations
8 Non-Holonomic Systems, Dissipative Systems
9 The Principles of Least Action and Least Curvature
10 Hamiltonian Systems and their Integral-Invariants
11 The Transformation-Theory of Dynamics
12 The Properties of the Integrals of Dynamic Systems
13 The Reduction of the Problem of Three Bodies
14 The Theorems of Bruns and Poincaré
15 The General Theory of Orbits
16 Integration by Series