Mathematical Methods of Classical Mechanics

ISBN-10: 0387968903
ISBN-13: 9780387968902
Edition: 2nd 1989 (Revised)
List price: $74.95 Buy it from $53.59
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Description: 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  More...

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Book details

List price: $74.95
Edition: 2nd
Copyright year: 1989
Publisher: Springer
Publication date: 9/5/1997
Binding: Hardcover
Pages: 520
Size: 6.50" wide x 9.75" long x 1.25" tall
Weight: 2.090
Language: English

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

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