CHAPTER I | **THEORY OF VECTORS ** | I. Operations on vectors
§ 1. Preliminary definitions
§ 2. Components of a vector
§ 3. Sum and difference of vectors
§ 4. Product of a vector by a number
§ 5. Components of asum and product
§ 6. Resolution of a vector
§ 7. Scalar product
§ 8. Vector product
§ 9. Product of several vectorsv
§ 10. Vector functions
§ 11. Moment of a vector
II. Systems of vectors
§ 12. Total moment of a system of vectors
§ 13. Parameter
§ 14. Equipollent systems
§ 15. Vector couple
§ 16. Reduction of a system of vectors
§ 17. Central axis
§ 18. Centre of parallel vectors
§ 19. Elementary transformations of a system |

CHAPTER II | **KINEMATICS OF A POINT ** | I. Motion relative to a frame of reference
§ 1. Time
§ 2. Frame of reference
§ 3. Motion of a point
§ 4.Graph of a motion
§ 5. Velocity
§ 6. Acceleration
§ 7. Resolution of the acceleration along a tangent and a normal
§ 8. Angular velocity and acceleration
§ 9. Plane motion in a polar coordinate system
§ 10. Areal velocity
§ 11. Dimensions of kinematic magnitudes
II. Change of frame of reference
§ 12. Relation among coordinates
§ 13. Relation among velocities
§ 14. Relations among accelerations
§ 15. Determination of relative motion |

CHAPTER III | **DYNAMICS OF A MATERIAL POINT ** | I. Dynamics of an unconstrained point
§ 1. Basic concepts of dynamics
§ 2. Newton's laws of dynamics
§ 3. Systems of dynamical units
§ 4. Equations of motion
§ 5. Motion under the influence of the force of gravity
§ 6. Motion in a resisting medium
§ 7. Moment of momentum
§ 8. Central motion
§ 9. Planetary motions
§ 10.Work
§ 11. Potential force field
§ 12. Examples of potential fields
§ 13. Kinetic and potential energy
§ 14. Motion of a point attracted by af ixed mass
§ 15. Harmonic motion
§ 16. Conditions for equilibrium in aforcefield
II. Dynamics of a constrained point
§ 17. Equations of motions
§ 18. Motion of a constrained point along a curvece
§ 19. Motion of a constrained point along a surface
§ 20. Mathematical pendulum
§ 21. Equilibrium of a constrained point
III. Dynamics of relative motion
§ 22. Laws of motion
§ 23. Examples of motion
§ 24. Relative equilibrium
§ 25. Motion relative to the earth |

CHAPTER IV | **GEOMETRY OF MASSES ** | I. Systems of points
§ 1.Statical moments
§ 2. Centre of mass
§ 3. Moments of the second order
§ 4. Ellipsoid of inertia
§ 5. Second moments of a plane system
II. Solids, surfaces and material lines
§ 6. Density
§ 7. Statical moments and moments of inertia
§ 8. Centres of gravity of some curves, surfaces and solids
§ 9. Moments of inertia of some curves, surfaces and solids |

CHAPTER V | **SYSTEMS OF MATERIAL POINTS ** | § 1. Equations of motion
§ 2. Motion of the centre of mass
§ 3. Moment of momentum
§ 4. Work and potential of a system of points
§ 5. Kinetic energy of a system of points
§ 6. Problem of two bodies
§ 7.Problem of n bodies
§ 8. Motion of a body of variable mass |

CHAPTER VI | **STATICS OF A RIGID BODY ** | I. Unconstrained body
§ 1. Rigid body
§ 2. Force
§ 3. Hypotheses for the equilibrium offorces
§ 4.Transformations of systems of forces
§ 5. Conditions for equilibrium of forces
§ 6. Graphical statics
§ 7. Some applications of the string polygon
II. Constrained body
§ 8. Conditions of equilibrium
§ 9. Reactions of bodies in contact
§ 10. Friction
§ 11. Conditions for equilibrium not involving the reaction
§ 12. Equilibrium of heavy supported bodies
§ 13. Internal forces
III. Systems of bodies
§ 14. Conditions of equilibrium
§ 15. Systems of bars
§ 16. Frames
§ 17. Equilibrium of heavy cables |

CHAPTER VII | **KINEMATICS OF A RIGID BODY ** | § 1. Displacement and rotation of a body about an axis
§ 2. Displacements of points of a body in plane motion
§ 3. Displacements of the points of a body
§ 4. Advancing motion and rotation about an axis
§ 5. Distribution of velocities in a rigid body
§ 6. Instantaneous plane motion
§ 7.Instantaneous space motion
§ 8. Rolling and sliding
§ 9. Composition of motions of a body
§ 10. Analytic representation of the motion of a rigid body
§ 11. Resolution of accelerations |

CHAPTER VIII | **DYNAMICS OF A RIGID BODY ** | § 1. Work and kinetic energy
§ 2. Equations of motion
§ 3. Rotation about a fixed axis
§ 4. Plane motion
§ 5.Angular momentum
§ 6. Euler's equations
§ 7. Rotation of a body about a point under the action of no forces
§ 8. Rotation of a heavy body about a point
§ 9. Motion of a sphere on a plane
§ 10. Foucault's. gyroscope |

CHAPTER IX | **PRINCIPLE OF VIRTUAL WORK ** | § 1. Holonomo-scleronomic systems
§ 2.Virtual displacements
§ 3. Principle of virtual work
§ 4. Determination of the position of equilibrium in a force field
§ 5. Lagrange's generalized coordinates |

CHAPTER X | **DYNAMICS OF HOLONOMIC SYSTEMS ** | § 1. Holonomic systems
§ 2. Non-holonomic systems
§ 3. Virtual displacements
§ 4. D'Alembert's principle
§ 5. Work and kinetic energy in scleronpmic systems
§ 6. Lagrange's equations of the first kind
§ 7. Lagrange's equations of the second kind
§ 8. Hamilton's canonical equations |

CHAPTER XI | **VARIATIONAL PRINCIPLES OP MECHANICS ** | § 1. Variation without the variation of time
§ 2. Hamilton's principle
§ 3. Variation with the variation of time
§ 4. Maupertuis' principle (of least action) |

Materiały redakcyjne | ** ** | Preface, appendix, index, contents |