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Advanced Linear Algebra: 135 (Graduate Texts in Mathematics, 135)
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- For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products); upgraded some proofs that were originally done only for finite-dimensional/rank cases; added new theorems, including the spectral mapping theorem; corrected all known errors; the reference section has been enlarged considerably, with over a hundred references to books on linear algebra.From the reviews of the second edition:“In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. … As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. … the exercises are rewritten and expanded. … Overall, I found the book a very useful one. … It is a suitable choice as a graduate text or as a reference book.”Ali-Akbar Jafarian, ZentralblattMATH“This is a formidable volume, a compendium of linear algebra theory, classical and modern … . The development of the subject is elegant … . The proofs are neat … . The exercise sets are good, with occasional hints given for the solution of trickier problems. … It represents linear algebra and does so comprehensively.”Henry Ricardo, MathDL
| Publisher | Springer |
| Publication date | 8 Oct. 2007 |
| Edition | Third Edition 2008 |
| Language | English |
| Print length | 543 pages |
| ISBN-10 | 0387728287 |
| ISBN-13 | 978-0387728285 |
| Item weight | 939 g |
| Dimensions | 15.6 x 3.02 x 23.39 cm |
| Part of series | Graduate Texts in Mathematics |
Product Description
Advanced Linear Algebra: 135 (Graduate Texts in Mathematics, 135)
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