| 书目名称 | Transformation Geometry |
| 副标题 | An Introduction to S |
| 编辑 | George E. Martin |
| 视频video | |
| 概述 | Request lecturer material: |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | Transformation geometry is a relatively recent expression of the successful venture of bringing together geometry and algebra. The name describes an approach as much as the content. Our subject is Euclidean geometry. Essential to the study of the plane or any mathematical system is an under standing of the transformations on that system that preserve designated features of the system. Our study of the automorphisms of the plane and of space is based on only the most elementary high-school geometry. In particular, group theory is not a prerequisite here. On the contrary, this modern approach to Euclidean geometry gives the concrete examples that are necessary to appreciate an introduction to group theory. Therefore, a course based on this text is an excellent prerequisite to the standard course in abstract algebra taken by every undergraduate mathematics major. An advantage of having nb college mathematics prerequisite to our study is that the text is then useful for graduate mathematics courses designed for secondary teachers. Many of the students in these classes either have never taken linear algebra or else have taken it too long ago to recall even the basic ideas. It turns out |
| 出版日期 | Textbook 1982 |
| 关键词 | Abbildungsgeometrie; Congruence; Euclidean geometry; Geometry; Martin |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-5680-9 |
| isbn_softcover | 978-1-4612-5682-3 |
| isbn_ebook | 978-1-4612-5680-9Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer-Verlag New York Inc. 1982 |
发表于 2025-3-21 16:17:17
