Mathematical Methods of Classical Mechanics /

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of th...

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Bibliographic Details
Main Author: Arnold, V. I.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1989.
Edition:Second edition.
Series:Graduate texts in mathematics ; 60.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • NEWTONIAN MECHANICS: Experimental facts. Investigation of the equations of motion
  • LAGRANGIAN MECHANICS: Variational principles. Lagrangian mechanics on manifolds. Oscillations. Rigid Bodies.
  • HAMILTONIAN MECHANICS: Differential forms. Symplectic manifolds. Canonical formalism. Introduction to perturbation theory
  • Appendices.