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OverviewIn this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry. Full Product DetailsAuthor: M. Karoubi , C. LerustePublisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) Volume: 99 ISBN: 9780511629372ISBN 10: 0511629370 Publication Date: 01 March 2011 Audience: Professional and scholarly , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsIntroduction; 1. Algebraic preliminaries; 2. differential forms on an open subset of Rn; 3. differentiable manifolds; 4. De Rham cohomology of differentiable manifolds; 5. Computing cohomology; 6. Poincaré duality - Lefschetz' theorem; Appendixes; Bibliography; Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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