Description

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.

Mathematical Methods of Classical Mechanics

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Hardback by K. Vogtmann , A. Weinstein

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This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory... Read more

    Publisher: Springer-Verlag New York Inc.
    Publication Date: 05/09/1997
    ISBN13: 9780387968902, 978-0387968902
    ISBN10: 0387968903

    Number of Pages: 520

    Non Fiction , Mathematics & Science , Education

    Description

    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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