书目名称 | Mathematical Methods of Classical Mechanics | 编辑 | V. I. Arnold | 视频video | | 丛书名称 | Graduate Texts in Mathematics | 图书封面 |  | 描述 | 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. | 出版日期 | Textbook 1989Latest edition | 关键词 | Lagrangian mechanics; Mathematische Physik; Mechanik; Rigid body; Vector field; classical mechanics; diffe | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4757-2063-1 | isbn_softcover | 978-1-4419-3087-3 | isbn_ebook | 978-1-4757-2063-1Series ISSN 0072-5285 Series E-ISSN 2197-5612 | issn_series | 0072-5285 | copyright | Springer-Verlag New York 1989 |
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