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Flows on compact surfacesthe Weil-Hedlund-Anosov program /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Flows on compact surfacesby Nelson G. Markley, Mary Vanderschoot.
Reminder of title:	the Weil-Hedlund-Anosov program /
Author:	Markley, Nelson G.
other author:	Vanderschoot, Mary.
Published:	Cham :Springer International Publishing :2023.
Description:	xii, 362 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fluid dynamics.
Online resource:	https://doi.org/10.1007/978-3-031-32955-5
ISBN:	9783031329555$q(electronic bk.)

Flows on compact surfacesthe Weil-Hedlund-Anosov program /
Markley, Nelson G.

Flows on compact surfacesthe Weil-Hedlund-Anosov program /[electronic resource] :by Nelson G. Markley, Mary Vanderschoot. - Cham :Springer International Publishing :2023. - xii, 362 p. :ill., digital ;24 cm. - Birkhauser advanced texts basler lehrbucher,2296-4894. - Birkhauser advanced texts basler lehrbucher..

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.

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.

ISBN: 9783031329555$q(electronic bk.)

Standard No.: 10.1007/978-3-031-32955-5doiSubjects--Topical Terms:

186085
Fluid dynamics.

LC Class. No.: QA911

Dewey Class. No.: 532.051

Flows on compact surfacesthe Weil-Hedlund-Anosov program /
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505 0 $a 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.
520 $a 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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