Modern Geometry - Methods and Applications : Part I. The Geometry of Surfaces, Transformation Groups, and Fields / by B.A. Dubrovin, A.T. Fomenko, S.P. Novikov
データ種別 | 電子書籍 |
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版 | 1st ed. 1984. |
出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 1984 |
書誌詳細を非表示
書誌ID | OB01019480 |
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本文言語 | 英語 |
一般注記 | 1 Geometry in Regions of a Space. Basic Concepts -- 3 Tensors: The Algebraic Theory -- 4 The Differential Calculus of Tensors -- 5 The Elements of the Calculus of Variations -- 6 The Calculus of Variations in Several Dimensions. Fields and Their Geometric Invariants. License restrictions may limit access Summary: manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practic able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S. P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S. P. Novikov and A. T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, re-ordering, and ex tensive elaboration of the above-mentioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S. P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B. A. Dubrovin |
著者標目 | *Dubrovin, B.A Fomenko, A.T Novikov, S.P SpringerLink (Online service) |
統一書名標目 | Graduate Texts in Mathematics, |
件 名 | LCSH:Geometry FREE:Geometry |
分 類 | LCC:QA440-699 DC23:516 |
巻冊次 | ISBN:9781468499469 RefWorks出力(各巻) print ; ISBN:9781468499483 RefWorks出力(各巻) print ; ISBN:9781468499476 RefWorks出力(各巻) print ; ISBN:9780387908724 RefWorks出力(各巻) |
資料種別 | 機械可読データファイル |
所蔵情報へのリンク | The geometry of surfaces, transformation groups, and fields / B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns ; : U.S.,: Germany |
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