| 书目名称 | Modern Geometry— Methods and Applications | | 副标题 | Part II: The Geometr | | 编辑 | B. A. Dubrovin,S. P. Novikov,A. T. Fomenko | | 视频video | | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore es | | 出版日期 | Textbook 1985 | | 关键词 | Applications; Lie group; Linking coefficient; Riemannian geometry; curvature; differential geometry; folia | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-1100-6 | | isbn_softcover | 978-1-4612-7011-9 | | isbn_ebook | 978-1-4612-1100-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1985 |
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发表于 2025-3-21 17:13:17
