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

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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
Description
Summary: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 theoremTransversalityStabilityExercisesVECTOR FIELDS AND DYNAMICAL SYSTEMSIntroductionVector fieldsSmooth dynamical systemsLie derivative, Lie bracketDiscrete dynamical systemsHyperbolic fixed points and periodic orbitsExercisesRIEMANNIAN METRICSIntroductionRiemannian metricsStandard geometries on surfaces.
Physical Description:1 online resource (403 pages)
Bibliography:Includes bibliographical references and index.
ISBN:9781420057539
1420057537