| 书目名称 | Clifford Algebra to Geometric Calculus | | 副标题 | A Unified Language f | | 编辑 | David Hestenes,Garret Sobczyk | | 视频video | http://file.papertrans.cn/228/227342/227342.mp4 | | 丛书名称 | Fundamental Theories of Physics | | 图书封面 |  | | 描述 | Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called ‘Clifford Algebra‘, though we prefer the name ‘Geometric Algebm‘ suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quatemions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas. | | 出版日期 | Book 1984 | | 关键词 | Fundamental theorem of calculus; Vector space; algebra; derivative; differential equation; geometry; mathe | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-009-6292-7 | | isbn_softcover | 978-90-277-2561-5 | | isbn_ebook | 978-94-009-6292-7Series ISSN 0168-1222 Series E-ISSN 2365-6425 | | issn_series | 0168-1222 | | copyright | Springer Science+Business Media Dordrecht 1984 |
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