Overview
- Uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing literature
- Presents the reader with a self-contained introduction to dynamical systems
- Can be used for a single semester course and/or for independent study
Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher (BAT)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (10 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the authors
Nelson G. Markley was a professor of mathematics at the University of Maryland for more than twenty-five years and also served as provost and senior vice president at Lehigh University. He authored numerous journal articles in the area of dynamical systems as well as textbooks on differential equations, topological groups, and probability. He received his PhD from Yale University.
Mary Vanderschoot is a professor of mathematics at Wheaton College (IL). She holds a PhD in topological dynamical systems from the University of Maryland. Nelson Markley was her PhD advisor.
Bibliographic Information
Book Title: Flows on Compact Surfaces
Book Subtitle: The Weil–Hedlund–Anosov Program
Authors: Nelson G. Markley, Mary Vanderschoot
Series Title: Birkhäuser Advanced Texts Basler Lehrbücher
DOI: https://doi.org/10.1007/978-3-031-32955-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-32954-8Published: 19 July 2023
Softcover ISBN: 978-3-031-32957-9Due: 19 August 2023
eBook ISBN: 978-3-031-32955-5Published: 18 July 2023
Series ISSN: 1019-6242
Series E-ISSN: 2296-4894
Edition Number: 1
Number of Pages: XII, 362
Number of Illustrations: 73 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Topology