| 期刊全称 | Advances in Analysis and Geometry | | 期刊简称 | New Developments Usi | | 影响因子2023 | Tao Qian,Thomas Hempfling,Frank Sommen | | 视频video | | | 发行地址 | Contains most recent results and surveys of the state of the art in the discipline.Based on an ICM 2002 Satellite Meeting on Clifford Analysis and Its Applications in Macau | | 学科分类 | Trends in Mathematics | | 图书封面 |  | | 影响因子 | On the 16th of October 1843, Sir William R. Hamilton made the discovery of the quaternion algebra H = qo + qli + q2j + q3k whereby the product is determined by the defining relations ·2 ·2 1 Z =] = - , ij = -ji = k. In fact he was inspired by the beautiful geometric model of the complex numbers in which rotations are represented by simple multiplications z ----t az. His goal was to obtain an algebra structure for three dimensional visual space with in particular the possibility of representing all spatial rotations by algebra multiplications and since 1835 he started looking for generalized complex numbers (hypercomplex numbers) of the form a + bi + cj. It hence took him a long time to accept that a fourth dimension was necessary and that commutativity couldn‘t be kept and he wondered about a possible real life meaning of this fourth dimension which he identified with the scalar part qo as opposed to the vector part ql i + q2j + q3k which represents a point in space. | | Pindex | Book 2004 |
The information of publication is updating
|
|
发表于 2025-3-21 18:26:54
