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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.
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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.
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Mathematical methods of classical mechanics. V. I. Arnold. Transl. by K. Vogtmann and A. Weinstein / Graduate texts in mathematics 60
ISBN 10: 3540968903
ISBN 13: 9783540968900
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Hardcover
Anbieter: Elops e.V. Offene Hände, Bad Windsheim, Deutschland
Verkäuferbewertung 5 von 5 Sternen
25 cm, Hardcover. 2. ed. IX, 508 S. : 269 Ill. u. graph. Darst. Text: Englisch; Kopfschnitt etwas fleckig Sprache: Englisch Gewicht in Gramm: 925. Bestandsnummer des Verkäufers 36175
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