{"product_id":"advanced-linear-algebra-book-steven-roman-9780387728285","title":"Advanced Linear Algebra","description":"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","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":50942388207889,"sku":"NGR9780387728285","price":54.29,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51001977274641,"sku":"NIN9780387728285","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":51415763812625,"sku":"CIN0387728287G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52516483727633,"sku":"NLS9780387728285","price":51.69,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":53475406315793,"sku":"CIN0387728287VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":53489523491089,"sku":"GOR007384588","price":58.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/B007YZTYR4.jpg?v=1751325262","url":"https:\/\/www.worldofbooks.com\/en-gb\/products\/advanced-linear-algebra-book-steven-roman-9780387728285","provider":"World of Books ","version":"1.0","type":"link"}