| 書目名稱 | Linear Dependence | | 副標(biāo)題 | Theory and Computati | | 編輯 | S. N. Afriat | | 視頻video | http://file.papertrans.cn/587/586299/586299.mp4 | | 圖書封面 |  | | 描述 | Deals with the most basic notion of linear algebra, to bringemphasis on approaches to the topic serving at the elementary leveland more broadly. .A typical feature is where computational algorithms and theoreticalproofs are brought together. Another is respect for symmetry, so thatwhen this has some part in the form of a matter it should also bereflected in the treatment. Issues relating to computational methodare covered. These interests may have suggested a limited account, tobe rounded-out suitably. However this limitation where basic materialis separated from further reaches of the subject has an appeal of itsown. .To the `elementary operations‘ method of the textbooks for doinglinear algebra, Albert Tucker added a method with his `pivotoperation‘. Here there is .a more primitive. method based on the`linear dependence table‘, and yet another based on `rank reduction‘.The determinant is introduced in a completely unusual upside-downfashion where Cramer‘s rule comes first. Also dealt with is what isbelieved to be a completely new idea, of the `alternant‘, a functionassociated with the affine space the way the determinant is with thelinear space, with .n.+1 vector arguments, as th | | 出版日期 | Book 2000 | | 關(guān)鍵詞 | algebra; algorithms; linear algebra; matrices; quadratic form; matrix theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4615-4273-5 | | isbn_softcover | 978-1-4613-6919-6 | | isbn_ebook | 978-1-4615-4273-5 | | copyright | Springer Science+Business Media New York 2000 |
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