Mathematical Methods Of Classical Mechanics, Vol. 60 - V I Arnold, V. I. (Vladimir Igorevich), Arnold (1989)
ISBN 9780387968902
Publisher Springer
Publication Date 1989
Format Hardcover (2 x 1 mm)
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.
Personal Details
Collection Status In Collection
Index 2153
Read It Yes
Links Barnes & Noble
Product Details
LoC Classification QA805 .A6813 1989
No. of Pages 509
Original Publication Year 1997