Dynamical systems 01

The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ...indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book. Basic Concepts -- Differential Equations On Surfaces -- Singular Points Of Differential Equations In Higher Dimensional Real Phase Space -- Singular Points Of Differential Equations In Higher Dimensional Complex Phase Space -- Singular Points Of Vector Fields In The Real And Complex Planes -- Cycles -- Analytic Theory Of Differential Equations. D.v. Anosov, V.i. Arnold (eds.). Includes Bibliographical References. 1. Ordinary differential equations and smooth dynamical systems by D.V. Anosov, V.I. Arnold (eds.). 2. Ergodic theory with applications to dynamical systems an d statistical mechanics by Ya. G. Sinai (ed.). 3. [without special title]. 4. S ymplectic geometry and its applications by V.I. Arnold, S.P. Novikov (eds.)