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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
1st ed. 1984.
出版者 New York, NY : Springer New York : Imprint: Springer
出版年 1984

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URL オンライン

EB2021539


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書誌ID OB01019480
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.
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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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