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Geometric Mechanics [1999]
- 1
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Part I: Solvable Systems
- 3
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Review of Solvable Systems
- 33
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Part II: The Geometry of Mechanics
- 35
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Geometry of Mechanics I: Linear
- 89
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Geometry of Mechanics II: Curvilinear
- 132
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Geometry of Mechanics III: Multilinear
- 163
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Part III: Langrangian Mechanics
- 165
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Lagrange‐Poincaré Description of Mechanics
- 188
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Simplifying the Poincaré Equation with Group Theory
- 221
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Conservation Laws and Symmetry
- 235
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Part IV: Newtonian Mechanics
- 237
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Gauge‐Invariant Mechanics
- 284
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Geometric Phases
- 305
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Part V: Hamiltonian Mechanics
- 307
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Hamiltonian Treatment of Geometric Optics
- 325
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Hamilton‐Jacobi Theory
- 348
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Relativistic Mechanics
- 369
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Symplectic Mechanics
- 413
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Part VI: Approximate Methods
- 415
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Analytic Basis for Approximation
- 449
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Linear Systems
- 479
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Perturbation Theory
- 535
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Index
- i
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Frontmatter
