Format:
1 Online-Ressource (XII, 362 p. 73 illus.)
Edition:
1st ed. 2023.
ISBN:
9783031329555
Series Statement:
Birkhäuser Advanced Texts Basler Lehrbücher
Content:
1. Dynamical Systems -- 2. Flows and Covering Spaces -- 3. A Family of Examples -- 4. Local Sections -- 5. Flows on the Torus -- 6. Hyperbolic Geometry -- 7. Flows and Hyperbolic Geometry -- 8. Lifts and Limits -- 9. Recurrent Orbit Closures -- 10. Existence of Transitive Flows.
Content:
This textbook offers a uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing literature. The book can be used for a single semester course and/or for independent study. It demonstrates that covering spaces provide a suitable and modern setting for studying the structure of flows on compact surfaces. The thoughtful treatment of flows on surfaces uses topology (especially covering spaces), the classification of compact surfaces, and Euclidean and hyperbolic rigid motions to establish structural theorems that describe flows on surfaces generally. Several of the topics from dynamical systems that appear in this book (e.g., fixed points, invariant sets, orbits, almost periodic points) also appear in the many subareas of dynamical systems. The book successfully presents the reader with a self-contained introduction to dynamical systems or an expansion of one's existing knowledge of the field. Prerequisites include completion of a graduate-level topology course; a background in dynamical systems is not assumed.
Additional Edition:
ISBN 9783031329548
Additional Edition:
ISBN 9783031329562
Additional Edition:
ISBN 9783031329579
Additional Edition:
Erscheint auch als Druck-Ausgabe Markley, Nelson Groh, 1940 - Flows on compact surfaces Cham, Switzerland : Birkhäuser, 2023 ISBN 9783031329548
Additional Edition:
ISBN 3031329546
Language:
English
Subjects:
Mathematics
DOI:
10.1007/978-3-031-32955-5
Author information:
Markley, Nelson Groh 1940-
