Basic Principles of Classical Mechanics

  • Vladimir I. Arnold
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 3)

Abstract

To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different “principles” — laws of motion. In this chapter we list the basic objects and principles of classical mechanics. The simplest and most important model of motion of real bodies is Newtonian mechanics, which describes the motion of a free system of interacting point masses in three-dimensional Euclidean space. In §6 we discuss the extent to which Newtonian mechanics is useful in describing complicated models of motion.

Keywords

Poisson Bracket Symplectic Structure Classical Mechanics Lagrangian System Smooth Path 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Vladimir I. Arnold
    • 1
  1. 1.Steklov Mathematical InstituteMoscowUSSR

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