Flows on Compact Surfaces

Flows on Compact Surfaces

Mary Vanderschoot / Nelson G. Markley

47,43 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2023
Materia
Cálculo y análisis matemático
ISBN:
9783031329562
47,43 €
IVA incluido
Disponible

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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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Otros libros del autor

  • Flows on Compact Surfaces
    Mary Vanderschoot / Nelson G. Markley
    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 sur...