Differential Geometry and Topology | Buch

Cover: 9781584882534 | Differential Geometry and Topology | With a View to Dynamical Systems

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Sprache: Englisch

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Beschreibung

Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. The authors' intuitive approach forms a treatment that is comprehensible to relative beginners, yet rigorous enough for professional mathematicians. Smooth manifolds, Riemannian metrics, affine connections, the curvature tensor, differential forms, integration on manifolds, and intersection theory provide the foundation for many applications in dynamical systems and mechanics. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow.

Über den Autor

Keith Burns, Marian Gidea

Inhaltsverzeichnis

Manifolds. Vector Fields and Dynamical Systems. Riemannian Metrics. Riemannian Connections and Geodesics. Curvature. Tensors and Differential Forms. Fixed Points and Intersection Numbers. Morse Theory. Hyperbolic Systems. References. Index.

Details

Erscheinungsjahr:	2005
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Buch
ISBN-13:	9781584882534
ISBN-10:	1584882530
Sprache:	Englisch
Einband:	Gebunden
Autor:	Burns, Keith Gidea, Marian
Hersteller:	Chapman and Hall/CRC
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	240 x 161 x 26 mm
Von/Mit:	Keith Burns (u. a.)
Erscheinungsdatum:	27.05.2005
Gewicht:	0,763 kg