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Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60) by V. I. Arnold (auth.) is a nonfiction available to read on EtoBox.

What is Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60) about?

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 The Geometry Of Manifolds, Distinguishes Iteself From The Traditional Approach Of Standard Textbooks. Geometrical Considerations Are Emphasized Throughout And Include Phase Spaces And Flows, Vector Fields, And Lie Groups. The Work Includes A Detailed Discussion Of Qualitative Methods Of The Theory Of Dynamical Systems And Of Asymptotic Methods Like Perturbation Techniques, Averaging, And Adiabatic Invariance. 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. By V. I. Arnold.

Who reads Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics Book 60)?

Author

V. I. Arnold (auth.)

Publisher

Springer-Verlag New York

Published

1989

Language

EN

ISBN

9781441930873

Category

nonfiction

Subjects

Science, Mathematics, Engineering

Updated

2026-03-24