An introduction to differential manifolds / Dennis Barden, Charles Thomas
Type de document : MonographieLangue : anglais.Pays: Grande Bretagne.Éditeur : London : Imperial College Press : Imperial College Press, cop. 2003Description : 1 vol. (XI-218 p.) : fig., couv. ill. en coul. ; 24 cmISBN: 9781860943546.Bibliographie : Bibliogr. p. 211-213. Index.Sujet MSC : 53-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry53C20, Global differential geometry, Global Riemannian geometry, including pinching
58H05, Global analysis, analysis on manifolds, Pseudogroups and differentiable groupoids
58A05, Global analysis, analysis on manifolds - General theory of differentiable manifolds, Differentiable manifolds, foundationsEn-ligne : MSN | zbMath | Editeur
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 53 BAR (Browse shelf(Opens below)) | Available | 12545-01 |
Bibliogr. p. 211-213. Index
This is a quick introduction to several topics concerned with differential manifolds, a suitable guide for use by graduate students of physics or mathematics. Topics and results that became essential for modern geometry and topology and applications in physics during the last 4 or 3 decades are selected. The presentation supports understanding of basic geometric achievements. Several results and facts whose proofs are technically difficult such as for instance embedding theorems of H. Whitney in chapter 1 or Hopfs’s theorem on cohomology of Lie groups are outlined, mentioned without proof. Simpler special cases are proved. Each of the 9 chapters is completed with a number of exercises, whose solutions are given at the end of the book. (zbMath)
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