| 书目名称 | Geometric Calculus | | 副标题 | According to the Aus | | 编辑 | Giuseppe Peano | | 视频video | | | 图书封面 |  | | 描述 | The geometric calculus, in general, consists in a system of operations on geometric entities, and their consequences, analogous to those that algebra has on the num bers. It permits the expression in formulas of the results of geometric constructions, the representation with equations of propositions of geometry, and the substitution of a transformation of equations for a verbal argument. The geometric calculus exhibits analogies with analytic geometry; but it differs from it in that, whereas in analytic geometry the calculations are made on the numbers that determine the geometric entities, in this new science the calculations are made on the geometric entities themselves. A first attempt at a geometric calculus was due to the great mind of Leibniz (1679);1 in the present century there were proposed and developed various methods of calculation having practical utility, among which deserving special mention are 2 the barycentric calculus of Mobius (1827), that of the equipollences of Bellavitis (1832),3 the quaternions of Hamilton (1853),4 and the applications to geometry 5 of the Ausdehnungslehre of Hermann Grassmann (1844). Of these various methods, the last cited to a great ext | | 出版日期 | Book 2000 | | 关键词 | Historical foundations; cls; mathematics logic/formal languages set theory; calculus; derivative; mathema | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-2132-6 | | isbn_softcover | 978-1-4612-7427-8 | | isbn_ebook | 978-1-4612-2132-6 | | copyright | Birkhäuser Boston 2000 |
The information of publication is updating
|
|
发表于 2025-3-21 18:06:54
