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Mathematical Methods of Classical Mechanics

✍ Scribed by V.I. Arnol'd, K. Vogtmann, A. Weinstein

Book ID
127452891
Publisher
Springer
Year
1989
Tongue
English
Weight
4 MB
Series
Graduate Texts in Mathematics
Edition
2nd
Category
Library
ISBN
1441930876

No coin nor oath required. For personal study only.

✦ Synopsis

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

✦ Subjects

Матметоды и моделирование в физике

📜 SIMILAR VOLUMES

Mathematical Methods Of Classical Mechan
Mathematical Methods Of Classical Mechanics
✍ V. I. Arnold, A. Weinstein, K. Vogtmann 📂 Library 📅 1989 🏛 Springer 🌐 English ⚖ 4 MB

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