Differential Geometry and Topology : With a View to Dynamical Systems.

MANIFOLDSIntroductionReview of topological conceptsSmooth manifoldsSmooth mapsTangent vectors and the tangent bundleTangent vectors as derivationsThe derivative of a smooth mapOrientationImmersions, embeddings and submersionsRegular and critical points and valuesManifolds with boundarySard's th...

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Bibliographic Details
Main Author:	Burns, Keith
Corporate Author:	Taylor & Francis
Other Authors:	Gidea, Marian
Format:	eBook
Language:	English
Published:	Hoboken : CRC Press, 2005.
Series:	Studies in advanced mathematics.
Subjects:	Geometry, Differential. Differential topology. Differentiable dynamical systems. Géométrie différentielle. Topologie différentielle. Dynamique différentiable. MATHEMATICS > Geometry > General. Differentiable dynamical systems Differential topology Geometry, Differential Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Front cover; Preface; Contents; Chapter 1. Manifolds; Chapter 2. Vector Fields and Dynamical Systems; Chapter 3. Riemannian Metrics; Chapter 4. Riemannian Connections and Geodesics; Chapter 5. Curvature; Chapter 6. Tensors and Differential Forms; Chapter 7. Fixed Points and Intersection Numbers; Chapter 8. Morse Theory; Chapter 9. Hyperbolic Systems; References; Index; Back cover.