Flows on Compact Surfaces: The Weil-Hedlund-Anosov Program (Birkhäuser Advanced Texts Basler Lehrbücher) - Hardcover

Vanderschoot, Mary; Markley, Nelson G.

 
9783031329548: Flows on Compact Surfaces: The Weil-Hedlund-Anosov Program (Birkhäuser Advanced Texts Basler Lehrbücher)
Hardcover
ISBN 10: 3031329546 ISBN 13: 9783031329548
Verlag: Birkhäuser, 2023

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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.

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Verlag
Birkhäuser
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
3031329546
ISBN 13 
9783031329548
Einband
Tapa dura
Anzahl der Seiten
376
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
Deutschland

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9783031329579: Flows on Compact Surfaces: The Weil–Hedlund–Anosov Program (Birkhäuser Advanced Texts Basler Lehrbücher)

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