书目名称 | Foundations of Differentiable Manifolds and Lie Groups | 编辑 | Frank W. Warner | 视频video | | 丛书名称 | Graduate Texts in Mathematics | 图书封面 |  | 描述 | Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful. | 出版日期 | Textbook 1983 | 关键词 | Cohomology; Differenzierbare Mannigfaltigkeit; Groupssche Gruppe; Manifolds; Sheaf cohomology | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-1799-0 | isbn_softcover | 978-1-4419-2820-7 | isbn_ebook | 978-1-4757-1799-0Series ISSN 0072-5285 Series E-ISSN 2197-5612 | issn_series | 0072-5285 | copyright | Frank W. Warner 1983 |
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