Keith Burns, Marian Gidea

Differential Geometry and Topology

With a View to Dynamical Systems

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Taylor and Francis
• Seitenzahl: 400
• Erscheinungstermin: 27. Mai 2005
• Englisch
• Abmessung: 242mm x 162mm x 28mm
• Gewicht: 694g
• ISBN-13: 9781584882534
• ISBN-10: 1584882530
• Artikelnr.: 20956976

Autorenporträt

Keith Burns, Marian Gidea

Inhaltsangabe

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.