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.
Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
Publish Date: 1997-09-05
Edition: 2nd
ISBN: 0387968903
ISBN 13: 9780387968902
Dimension: Length: 6.14 inches, Width: 1.19 inches, Height: 9.21 inches
Weight: Weight: 4.519476371 pounds
Binding: Hardcover
Pages: 520
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.
Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
Publish Date: 1997-09-05
Edition: 2nd
ISBN: 0387968903
ISBN 13: 9780387968902
Dimension: Length: 6.14 inches, Width: 1.19 inches, Height: 9.21 inches
Weight: Weight: 4.519476371 pounds
Binding: Hardcover
Pages: 520