{"product_id":"linear-algebra-i-basic-concepts-paperback","title":"Linear Algebra I: Basic Concepts - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eKazuo Murota\u003c\/b\u003e (Author), \u003cb\u003eMasaaki Sugihara\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eIn particular, the following four aspects are emphasized.\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eHow matrices arise (discretization of differential equations, description of system structures, description of transition probability)\u003c\/li\u003e\n\u003cli\u003eWhat kinds of matrices arise (sparse matrices, positive definite matrices, diagonally-dominant matrices, nonnegative matrices, integer matrices, polynomial matrices)\u003c\/li\u003e\n\u003cli\u003eWhat characteristics we are interested in (rank, eigenvalues, singular values, positive definiteness)\u003c\/li\u003e\n\u003cli\u003eHow we can compute (expansion formulas of determinants, elementary transformation, estimates of eigenvalues)\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 316\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.66 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e August 11, 2022\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52705146994995,"sku":"9789811257971","price":100.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/Y0ErazFoWElXU1JyMEZOWjIweEpTQT09.webp?v=1763373415","url":"https:\/\/www.vysn.com\/en-ca\/products\/linear-algebra-i-basic-concepts-paperback","provider":"VYSN","version":"1.0","type":"link"}