V.I. Arnol'd : Mathematical Methods of Classical Mechanics
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P-MATH-B9E518
Matemaattinen klassisen mekaniikan perusteos, joka rakentaa alan keskeisen välineistön dynamiikasta ja värähtelyistä Hamiltonin formalismiin. Teos painottaa geometrista näkökulmaa sekä dynaamisten systeemien kvalitatiivisia ja asymptoottisia menetelmiä.
Suitable for: Matematiikan, klassisen mekaniikan ja dynaamisten systeemien opiskelijoille ja harrastajille.
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.
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| Categories | |
|---|---|
| Author | V.I. Arnol'd |
| Title | Mathematical Methods of Classical Mechanics |
| SKU | P-MATH-B9E518 |