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Analysis and Algebra on Differentiable Manifolds : A Workbook for Students and Teachers / by Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk
(Problem Books in Mathematics. ISSN:21978506)
版 | 2nd ed. 2013. |
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出版者 | (Dordrecht : Springer Netherlands : Imprint: Springer) |
出版年 | 2013 |
大きさ | XXVI, 618 p : online resource |
著者標目 | *Gadea, Pedro M author Muñoz Masqué, Jaime author Mykytyuk, Ihor V author SpringerLink (Online service) |
件 名 | LCSH:Geometry, Differential FREE:Differential Geometry |
一般注記 | Differentiable manifolds -- Tensor Fields and Differential Forms -- Integration on Manifolds -- Lie Groups -- Fibre Bundles -- Riemannian Geometry -- Some Formulas and Tables This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. Many of the definitions and theorems used throughout are explained in the first section of each chapter where they appear. A 56-page collection of formulae is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. In this 2nd edition: • 76 new problems • a section devoted to a generalization of Gauss’ Lemma • a short novel section dealing with some properties of the energy of Hopf vector fields • an expanded collection of formulae and tables • an extended bibliography Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering with a rudimentary knowledge of linear and multilinear algebra HTTP:URL=https://doi.org/10.1007/978-94-007-5952-7 |
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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 | 9789400759527 |
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電子リソース |
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EB00205032 |
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