Arnold V.I. Mathematical Methods of Classical Mechanics
размером 4,00 МБ
Добавлен пользователем Petrovych, дата добавления неизвестна
Springer, 1997. — 509 pages.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.
Чтобы скачать этот файл зарегистрируйтесь и/или войдите на сайт используя форму сверху.
2nd. ed. - Taylor & Francis, 2003. - 573 Pages.
Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and...