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OverviewKeeping 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. Full Product DetailsAuthor: Andrew WallacePublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 13.60cm , Height: 0.80cm , Length: 21.40cm Weight: 0.176kg ISBN: 9780486453170ISBN 10: 0486453170 Pages: 144 Publication Date: 24 November 2006 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationAndrew Wallace is Professor Emeritus in the Department of Mathematics at the University of Pennsylvania. Tab Content 6Author Website:Countries AvailableAll regions |
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