Arnold W. and . , Kozlov V. In. , Neustadt A. and . Mathematical Aspects of Classical and Celestial Mechanics . Science and Technology . Series'Modern Problems of Mathematics. Fundamental Directions'. Volume 3. - M. , VINITI, 1985 : The basic principles, tasks and methods of classical mechanics. Focus on the mathematical side of the subject. Mathematical models of the movement of mechanical systems are discussed , Various aspects of the theory of lowering the order of systems with symmetries, are presented. provides an overview of the most common and effective methods for integrating equations of motion, Qualitative Characteristics , impeding the full integrability of Hamiltonian systems and, Finally, The most effective sections of classical mechanics are presented - the theory of perturbations and the theory of oscillations .. The general results are illustrated by numerous examples from celestial mechanics and solid-state dynamics. Various aspects of the n-body problem are presented: collisions, regularization, partial solutions, final movements, etc. d. The application of the general results of perturbation theory to the problems of stability in celestial mechanics is discussed. Although the physical basis of the models under consideration, as well as the applied aspects of the phenomena under study, are affected to a much lesser extent, the authors sought to present in the first place the working apparatus of classical mechanics... Our text, of course, does not claim completeness. It is also not a textbook on theoretical mechanics: it contains virtually no detailed evidence. The main purpose of our work is to acquaint the reader with classical mechanics in general - both with classical and with its most modern aspects. The necessary evidence, as well as more detailed information, the reader will find in the books and original works on this subject indicated at the end of this volume. P. S. Cover by 2nd Edition . (2002). Author's books: Arnold W. and . Ordinary Differential Equations . - And . Udmurt State University, 2000 Arnold B. and . Mathematical Methods of Classical Mechanics . - M. , Science, 1989 Arnold W. and . Huygens and Barrow, Newton and Hooke - the first steps of mathematical analysis and catastrophe theory .. - M. , Science, 1989 Arnold W. and . Geometry of complex numbers, quaternions and spins. - M. , ICNMO, 2002 Arnold W. and . Historical and recent[edit] - M. , Phase, 2002 Arnold W. and . Tasks for children from 5 to 15 years . - M. , ICNMO, 2004 Arnold W. and . Catastrophe theory . - M. , Science , 1990 Arnold W. and . What is mathematics? - M. , ICNMO, 2002 Kozlov V. In. Methods of qualitative analysis in solid state dynamics. - And . , RHD, 2000 Goats V. In. General theory of vortices . - Izhevsk, Udmurt University, RHD, 1998 Literature on theoretical mechanics