| Algebraic Topology Via Differential Geometry Contributor(s): Karoubi, M. (Author), Leruste, C. (Author) |
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ISBN: 0521317142 ISBN-13: 9780521317146 Publisher: Cambridge University Press OUR PRICE: $62.69 Product Type: Paperback - Other Formats Published: January 1988 Annotation: In 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Geometry - Differential - Mathematics | Probability & Statistics - General |
| Dewey: NA |
| LCCN: 86017087 |
| Series: Landmarks of World Literature (Paperback) |
| Physical Information: 0.96" H x 6.02" W x 8.96" (1.33 lbs) 376 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: In 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. |