| 书目名称 | Elementary Topics in Differential Geometry |
| 编辑 | J. A. Thorpe |
| 视频video | |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student‘s preliminary understanding of higher dimensions is not cultivated. |
| 出版日期 | Textbook 1979 |
| 关键词 | Differentialgeometrie; Isometrie; Minimal surface; curvature; differential geometry |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-6153-7 |
| isbn_softcover | 978-1-4612-6155-1 |
| isbn_ebook | 978-1-4612-6153-7Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer-Verlag New York Inc. 1979 |
发表于 2025-3-21 16:52:11
