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Collection of Problems in Classical Mechanics
International Series of Monographs in Natural Philosophy
1st Edition - January 1, 1971
Authors: G. L. Kotkin, V. G. Serbo
Editor: D. ter Haar
eBook ISBN:
9 7 8 - 1 - 4 8 3 1 - 8 6 6 1 - 0
Collection of Problems in Classical Mechanics presents a set of problems and solutions in physics, particularly those involving mechanics. The coverage of the book includes 13… Read more
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Collection of Problems in Classical Mechanics presents a set of problems and solutions in physics, particularly those involving mechanics. The coverage of the book includes 13 topics relevant to classical mechanics, such as integration of one-dimensional equations of motion; the Hamiltonian equations of motion; and adiabatic invariants. The book will be of great use to physics students studying classical mechanics.
Preface
Problems
1. Integration of One-dimensional Equations of Motion
2. Motion of a Particle in Three-Dimensional Potentials
3. Scattering in a Given Field. Collisions between Particles
4. Lagrangian Equations of Motion. Conservation Laws
5. Small Oscillations of Systems with One Degree of Freedom
6. Small Oscillations of Systems with Several Degrees of Freedom
7. Oscillations of Linear Chains
8. Non-linear Oscillations
9. Rigid-body motion. Non-Inertial Coordinate Systems
10. The Hamiltonian Equations of Motion
11. Poisson Brackets. Canonical Transformations
12. The Hamilton-Jacobi Equation
13. Adiabatic Invariants
Answers and Solutions
1. Integration of One-Dimensional Equations of Motion
2. Motion of a Particle in Three-Dimensional Potentials
3. Scattering in a Given Field. Collisions between Particles
4. Lagrangian Equations of Motion. Conservation Laws
5. Small Oscillations of Systems with One Degree of Freedom
6. Small Oscillations of Systems with Several Degrees of Freedom
7. Oscillations of Linear Chains
8. Non-linear Oscillations
9. Rigid-body Motion. Non-Inertial Coordinate Systems
10. The Hamiltonian Equations of Motion
11. Poisson Brackets. Canonical Transformations
12. The Hamilton-Jacobi Equation
13. Adiabatic Invariants
References
Index
Other Titles in the Series in Natural Philosophy
- No. of pages: 288
- Language: English
- Published: January 1, 1971
- Imprint: Pergamon
- eBook ISBN: 9781483186610