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OverviewThis carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and--as a new feature--a good number of solutions to selected exercises. Full Product DetailsAuthor: Wolfgang KuhnelPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: 3rd Revised edition Weight: 0.480kg ISBN: 9781470423209ISBN 10: 1470423200 Pages: 412 Publication Date: 30 December 2015 Audience: Professional and scholarly , Professional & Vocational 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 ContentsNotations and prerequisites from analysis Curves in $\mathbb{R}^n$ The local theory of surfaces The intrinsic geometry of surfaces Riemannian manifolds The curvature tensor Spaces of constant curvature Einstein spaces Solutions to selected exercises Bibliography List of notation IndexReviews"The book provides an excellent introduction to the differential geometry of curves, surfaces and Riemannian manifolds that should be accessible to a variety of readers… Frankly, this is a great book… even after only two chapters the reader is exposed to a lot of interesting mathematics. If you are looking to teach or learn differential geometry at an introductory level, Differential Geometry Curves—Surfaces—Manifolds is a great resource to have on hand."" - Jason M. Graham, MAA Reviews" The book provides an excellent introduction to the differential geometry of curves, surfaces and Riemannian manifolds that should be accessible to a variety of readers... Frankly, this is a great book... even after only two chapters the reader is exposed to a lot of interesting mathematics. If you are looking to teach or learn differential geometry at an introductory level, Differential Geometry Curves-Surfaces-Manifolds is a great resource to have on hand. - Jason M. Graham, MAA Reviews Author InformationWolfgang Kuhnel, University of Stuttgart, Germany. Tab Content 6Author Website:Countries AvailableAll regions |
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