Mathematical Methods Of Classical Mechanics

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Mathematical Methods Of Classical...

Mathematical Methods Of Classical Mechanics

Name: Mathematical Methods Of Classical Mechanics
ISBN: 9783540968900

V. I. Arnold, A. Weinstein, K. Vogtmann

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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.

श्रेणियाँ:

Mathematics - Mathematical Physics

सामग्री का प्रकार:

पुस्तकें

साल:

1989

संस्करण:

2nd

प्रकाशन:

Springer

भाषा:

english