| 書目名稱 | Geometric Calculus | | 副標(biāo)題 | According to the Aus | | 編輯 | Giuseppe Peano | | 視頻video | http://file.papertrans.cn/384/383480/383480.mp4 | | 圖書封面 |  | | 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 | | 關(guān)鍵詞 | 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 | Birkh?user Boston 2000 |
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