| 书目名称 | Clifford Algebras |
| 副标题 | Geometric Modelling |
| 编辑 | Daniel Klawitter |
| 视频video | |
| 概述 | Publication in the field of mathematical science.Includes supplementary material: |
| 图书封面 |  |
| 描述 | After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions with respect to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined. The author applies this theory and the developed methods to the homogeneous Clifford algebra model corresponding to Euclidean geometry. Moreover, kinematic mappings for special Cayley-Klein geometries are developed. These mappings allow a description of existing kinematic mappings in a unifying framework. |
| 出版日期 | Book 2015 |
| 关键词 | Cayley-Klein geometries; Clifford algebra model; Euclidean displacements; Euclidean geometry; hyperquadr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-658-07618-4 |
| isbn_softcover | 978-3-658-07617-7 |
| isbn_ebook | 978-3-658-07618-4 |
| copyright | Springer Fachmedien Wiesbaden 2015 |
发表于 2025-3-21 17:42:47
