Collection of Problems in Classical Mechanics

Collection of Problems in Classical Mechanics

International Series of Monographs in Natural Philosophy

1st Edition - January 1, 1971

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  • Authors: G. L. Kotkin, V. G. Serbo
  • eBook ISBN: 9781483186610

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Description

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.

Table of Contents


  • 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


Product details

  • No. of pages: 288
  • Language: English
  • Copyright: © Pergamon 1971
  • Published: January 1, 1971
  • Imprint: Pergamon
  • eBook ISBN: 9781483186610

About the Authors

G. L. Kotkin

V. G. Serbo

About the Editor

D. ter Haar

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