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List of Worked Examples
Preface
1 FUNDAMENTALS OF MECHANICS
1.1 Elementary Kinematics
1.2 Principles of Dynamics
1.3 One-Particle Dynamical Variables
1.4 Many-Particle Systems
1.5 Examples
Problems
2 LAGRANGIAN FORMULATION OF MECHANICS
2.1 Constraits and Configuration Manifolds
2.2 Lagrange's Equations
2.3 Central Force Motion
2.4 The Tangent Bundle TQ
Problems
3 TOPICS IN LAGRANGIAN DYNAMICS
3.1 The Variational Principle and Lagrange's Equations
3.2 Symmetry and Conservation
3.3 Nonpotential Forces
3.4 A Digression on Geometry
Problems
4 SCATERING AND LINEAR OSCILLATIONS
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5 HAMILTONIAN FORMULATION OF MECHANICS
6 TOPICS IN HAMILTONIAN DYNAMICS
7 NONLINEAR DYNAMICS
8 RIGID BODIES
9 CONTINUUM DYNAMICS
EPILOGUE
APPENDIX:VECTOR SPACES
BIBLIOGRAPHY
INDEX
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