这是莫斯科大学理论力学的优秀教材，论述了振动理论、刚体运动和哈密顿形式体系等动力学中的所有基本问题，特别强调了边分原理和分析力学及成为量子力学理论基石的哈密顿形式体系。在附录中介绍了经典力学与数学、物理学及其它领域的联系。可供理论力学专业、数学力学专业的研究生及科技人员参考。

Preface
Preface to the second edition
Part I  NEWTONIAN  MECHANICS
 Chapter 1  Experimental facts
   1. The principles of relativity and determinacy
   2. The galilean group and Newton's equations
   3. Examples of mechanical systems
 Chapter 2  Investigation of the equations of motion
   4. Systems with one degree of freedom
   5. Systems with two degrees of freedom
   6. Conservative force fields
   7. Angular momentum
   8. Investigation of motion in a central field
   9. The motion of a point in three-space
   10. Motions of a system ofn points
   11. The method of similarity
Part II  LAGRANGIAN MECHANICS
 Chapter 3  Variational principles
   12. Calculus of variations
   13. Lagrange's equations
   14. Legendre transformations
   15. Hamilton's equations
   16. Liouville's theorem
 Chapter 4  Lagrangian mechanics on manifolds
   17. Holonomic constraints
   18. Differentiable manifolds
   19. Lagrangian dynamical systems
   20. E. Noether's theorem
   21. D'Alembert's principle
 Chapter 5  Oscillations
   22. Linearization
   23. Small oscillations
   24. Behavior of characteristic frequencies
   25. Parametric resonance
 Chapter 6  Rigid bodies
   26. Motion in a moving coordinate system
   27. Inertial forces and the Coriolis force
   28. Rigid bodies
   29. Euler's equations. Poinsot's description of the motion
   30. Lagrange's top
   31. Sleeping tops and fast tops
Part III  HAMILTONIAN MECHANICS
 Chapter 7  Differential forms
   32. Exterior forms
   33. Exterior multiplication
   34. Differential forms
   35. Integration of differential forms
   36. Exterior differentiation
 Chapter 8  Symplectic manifolds
   37. Symplectic structures on manifolds
   38. Hamiltonian phase flows and their integral invariants
   39. The Lie algebra of vector fields
   40. The Lie algebra of hamiltonian functions
   41. Symplectic geometry
   42. Parametric resonance in systems with many degrees of freedom
   43. A symplectic atlas
 Chapter 9  Canonical formalism
   44. The integral invariant of Poincare-Cartan
   45. Applications of the integral invariant of Poincare-Cartan
   46. Huygens' principle
   47. The Hamilton-Jacobi method for integrating Hamilton's canonical equations
   48. Generating functions
 Chapter 10  Introduction to perturbation theory
   49. Integrable systems
   50. Action-angle variables
   51. Averaging
   52. Averaging of perturbations
Appendix 1
 Riemannian curvature
Appendix 2
 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids
Appendix 3
 Symplectic structures on algebraic manifolds
Appendix 4
 Contact structures
Appendix 5
 Dynamical systems with symmetries
Appendix 6
 Normal forms of quadratic hamiltonians
Appendix 7
 Normal forms of hamiltonian systems near stationary points and closed trajectories
Appendix 8
 Theory of perturbations of conditionally periodic motion, and Kolmogorov's theorem
Appendix 9
 Poincare's geometric theorem, its generalizations and applications
Appendix 10
 Multiplicities of characteristic frequencies, and ellipsoids
 depending on parameters
Appendix 11
 Short wave asymptotics
Appendix 12
 Lagrangian singularities
Appendix 13
 The Korteweg-de Vries equation
Appendix 14
 Poisson structures
Appendix 15
 On elliptic coordinates
Appendix 16
 Singularities of ray systems
Index