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Differential Topology: First Steps

Wallace, Andrew

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ISBN 10: 0486453170 / ISBN 13: 9780486453170
Verlag: Dover Publications, Inc., Mineola, NY, USA, 2006
Gebraucht Zustand: Very Good Softcover
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Paperback. Covers are lightly scored. Front leading corners and spine ends are lightly bumped and worn. Page block is lightly marked. Pages are clean and text is clear throughout. Binding is sound. HCW. Buchnummer des Verkäufers 435234

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Bibliografische Details

Titel: Differential Topology: First Steps

Verlag: Dover Publications, Inc., Mineola, NY, USA

Erscheinungsdatum: 2006

Einband: Paperback

Zustand:Very Good

Art des Buches: Used

Über diesen Titel

Inhaltsangabe:

Keeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. Its focus is the method of spherical modifications and the study of critical points of functions on manifolds.
No previous knowledge of topology is necessary for this text, which offers introductory material regarding open and closed sets and continuous maps in the first chapter. Succeeding chapters discuss the notions of differentiable manifolds and maps and explore one of the central topics of differential topology, the theory of critical points of functions on a differentiable manifold. Additional topics include an investigation of level manifolds corresponding to a given function and the concept of spherical modifications. The text concludes with applications of previously discussed material to the classification problem of surfaces and guidance, along with suggestions for further reading and study.

About the Author:

Andrew Wallace is Professor Emeritus in the Department of Mathematics at the University of Pennsylvania.

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