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Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60)
Vladimir I. Arnol´d
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Description for Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60)
Hardcover. .
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. ... Read more
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. ... Read more
Product Details
Publisher
Springer
Format
Hardback
Publication date
1997
Condition
New
Weight
28g
Number of Pages
520
Place of Publication
New York, NY, United States
ISBN
9780387968902
SKU
V9780387968902
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-4
Reviews for Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60)
Second Edition V.I. Arnol’d Mathematical Methods of Classical Mechanics "The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising . . . The examples are especially helpful; if a particular topic seems ... Read more