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＜電子ブック＞
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
(Graduate Texts in Mathematics. ISSN:21975612 ; 93)

版	1st ed. 1984.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	1984
本文言語	英語
大きさ	XV, 464 p : online resource
冊子体	The geometry of surfaces, transformation groups, and fields / B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns ; : us,: gw
著者標目	*Dubrovin, B.A author Fomenko, A.T author Novikov, S.P author SpringerLink (Online service)
件　名	LCSH:Geometry FREE:Geometry
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 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4684-9946-9

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