<電子ブック>
Introduction to Differentiable Manifolds / by Serge Lang
(Universitext. ISSN:21916675)
版 | 1st ed. 2002. |
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出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 2002 |
本文言語 | 英語 |
大きさ | XI, 250 p : online resource |
著者標目 | *Lang, Serge author SpringerLink (Online service) |
件 名 | LCSH:Topology LCSH:Manifolds (Mathematics) FREE:Topology FREE:Manifolds and Cell Complexes |
一般注記 | Differential Calculus -- Manifolds -- Vector Bundles -- Vector Fields and Differential Equations -- Operations on Vector Fields and Differential Forms -- The Theorem of Frobenius -- Metrics -- Integration of Differential Forms -- Stokes’ Theorem -- Applications of Stokes’ Theorem "This book contains essential material that every graduate student must know. Written with Serge Lang's inimitable wit and clarity, the volume introduces the reader to manifolds, differential forms, Darboux's theorem, Frobenius, and all the central features of the foundations of differential geometry. Lang lays the basis for further study in geometric analysis, and provides a solid resource in the techniques of differential topology. The book will have a key position on my shelf. Steven Krantz, Washington University in St. Louis "This is an elementary, finite dimensional version of the author's classic monograph, Introduction to Differentiable Manifolds (1962), which served as the standard reference for infinite dimensional manifolds. It provides a firm foundation for a beginner's entry into geometry, topology, and global analysis. The exposition is unencumbered by unnecessary formalism, notational or otherwise, which is a pitfall few writers of introductory texts of the subject manage to avoid. The author's hallmark characteristics of directness, conciseness, and structural clarity are everywhere in evidence. A nice touch is the inclusion of more advanced topics at the end of the book, including the computation of the top cohomology group of a manifold, a generalized divergence theorem of Gauss, and an elementary residue theorem of several complex variables. If getting to the main point of an argument or having the key ideas of a subject laid bare is important to you, then you would find the reading of this book a satisfying experience." Hung-Hsi Wu, University of California, Berkeley HTTP:URL=https://doi.org/10.1007/b97450 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9780387217727 |
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電子リソース |
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EB00230778 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA611-614.97 DC23:514 |
書誌ID | 4000104445 |
ISBN | 9780387217727 |
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※2017年9月4日以降