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OverviewThe present monograph is a state-of-the-art survey of the geometry of matrices whose study was initiated by L.K. Hua in the 1940s. The geometry of rectangular matrices, of alternate matrices, of symmetric matrices, and of hermitian matrices over a division ring or a field are studied in detail. The author's recent results on geometry of symmetric matrices and of hermitian matrices are included. A chapter on linear algebra over a division ring and one on affine and projective geometry over a division ring are also included. The book is clearly written so that graduate students and third or fourth year undergraduate students in mathematics can read it without difficulty. Full Product DetailsAuthor: Zhe-xian Wan (Chinese Academy Of Sciences, China)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Dimensions: Width: 16.10cm , Height: 2.70cm , Length: 21.70cm Weight: 0.653kg ISBN: 9789810226381ISBN 10: 9810226381 Pages: 388 Publication Date: 01 May 1996 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsPart 1 Linear algebra over division rings: matrices over division rings; matrix representations of subspaces; systems of linear equations. Part 2 Affine geometry and projective geometry: affine spaces and affine groups; projective spaces and projective groups; one-dimensional projective geometry. Part 3 Geometry of rectangular matrices: the space of rectangular matrices; proof of the fundamental theorem; application to graph theory. Part 4 Geometry of alternate matrices: the space of alternate matrices; maximal sets. Part 5 Geometry of symmetric matrices: the space of symmetric matrices; proof of the fundamental theorem I-III. Part 6 Geometry of hermitian matrices: maximal sets of rank 1; proof of the fundamental theorem (the case n is greater than or equal to 3); the maximal set of rank 2 (n=2); proof of the fundamental theorem (the case n=2); and others.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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