The book is a Russian translation of the already classic monograph written by the authors in French. It sets out the foundations of ergodic theory without excessive formalism, gives a number of examples from classical and celestial mechanics. Useful for mathematicians and physicists - from junior students to researchers and teachers . Books by Arnold W. and . 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 . , Kozlov V. In. , Neustadt A. and . Mathematical Aspects of Classical and Celestial Mechanics . - M. , VINITI, 1985 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 Arnold W. and . New Obscurantism and Russian Education . - M. , Phase, 2003 About Vladimir Igorevich Arnold Literature on theoretical mechanics