The first part of the book briefly reviews classical tractable models for a simple description of complex effects developed from the 18th to the 20th century and widely used in modern mechanics. The second part describes systematically the new tractable models used today for the treatment of increasingly complex mechanical objects - from systems with two degrees of freedom to three-dimensional continuous objects.
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"This book by L. I. Manevitch and O. V. Gendelman is focused on a series of so-called 'tractable models'. ... This book presents new original ideas in analysis of models from very different topics of nonlinear mechanics. The proposed approaches allow the authors to simplify complicated nonlinear problems and describe some important solutions. This book may be useful for specialists dealing with nonlinear mechanics, for theoretical physicists, and also for use in academic courses. The book is recommended for libraries." (Yuri V. Mikhlin, Mathematical Reviews, Issue 2012 a)