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1. Introduction; 2. A crash course in geometric mechanics; 3. Cotangent bundle reduction; 4. Relative equilibria; 5. The energy-momentum method; 6. Geometric phases; 7. Stabilization and control; 8. Discrete reduction; 9. Mechanical integrators; 10. Hamiltonian bifurcations; References.
"...centres around symmetry and symplectic quotients. Many examples are given illustrating the utility and relevance of symplectic quotients...readable and stimulating." Michael Atiyah, Bulletin of the American Mathematical Society "...The virtue [of this book] is in the breadth, relevance, and complexity of the examples treated..." Mathematical Reviews