Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings

ISBN-13: 9783110340730 / Angielski / Twarda / 2014 / 513 str.

Jan De Vries; J. De Vries

Opis

There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

Recenzje

"It [the book] is well organized, with careful proofs and many examples, figures, and exercises (with hints), along with end-of-chapter notes providing historical context and motivation, and an extensive index. [...] This book could serve as a textbook for an introductory course in topological dynamics or as a supplement to a more general dynamical systems course. For researchers, it is very useful to have so many results gathered and organized in one place, especially the more general results on the non-compact, non-metric, and non-invertible cases. This book is a valuable contribution, both as a text and as a reference." Mathematical Reviews

"Students who have mastered this book will have a solid basis to start research on related topics. [...] This book is worth reading to start research in topological dynamics." Zentralblatt für Mathematik

O autorze

Jan de Vries, CWI, Amsterdam, the Netherlands.