Topological Dynamical Systems : : An Introduction to the Dynamics of Continuous Mappings / / Jan Vries.

• Superior document: Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
• VerfasserIn: Vries, Jan,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2014]; ©2014
• Year of Publication: 2014
• Language: English
• Series: De Gruyter Studies in Mathematics , 59
• Physical Description: 1 online resource (498 p.)
• Other title: Frontmatter --; Preface --; Notation --; Contents --; 0. Introduction --; 1. Basic notions --; 2. Dynamical systems on the real line --; 3. Limit behaviour --; 4. Recurrent behaviour --; 5. Shift systems --; 6. Symbolic representations --; 7. Erratic behaviour --; 8. Topological entropy --; A. Topology --; B. The Cantor set --; C. Hints to the Exercises --; Literature --; Index --; De Gruyter Studies in Mathematics
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110342406; 9783110494938; 9783110238570; 9783110238471; 9783110637205; 9783110369526; 9783110370355
• ISSN: 0179-0986
• DOI: 10.1515/9783110342406
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Jan Vries.

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.