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An introduction to dynamical systems / D. K. Arrowsmith, C. M. Place

Auteur principal : Arrowsmith, David K., AuteurCo-auteur : Place, Colin M., AuteurType de document : MonographieLangue : anglais.Pays : Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1991Description : 1 vol. (423 p.) : ill. ; 25 cmISBN : 0521316502.Bibliographie : Bibliogr. p. [413]-416. Index.Sujet MSC : 37-01, Dynamical systems and ergodic theory, Instructional exposition (textbooks, tutorial papers, etc.)
37Cxx, Dynamical systems and ergodic theory, Smooth dynamical systems: general theory
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According to the authors this book about dynamical systems is specifically addressed to final year undergraduates up to post-graduate students. For example, the first five chapters about diffeomorphisms and flows, stability, hyperbolicity and homoclinic points, and local bifurcations contain topics for a third-year undergraduate course. Chapter 6 about area-preserving maps and their perturbations is directed at first-year postgraduates and presents an interaction with current research topics. Each chapter begins with an introduction about the topics of this chapter and ends with an extensive set of exercises, with model solutions and hints for the construction in `Hints for exercises' at the end of the book. The didactical concept and layout of the book are excellent. For this reason and because of its introductory character the book is easy to read and highly recommended to everybody who wants to be introduced into dynamical systems. (Zentralblatt)

Bibliogr. p. [413]-416. Index

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