Advanced Linear Algebra

Steven Roman

ISBN : 9780387728285
Publisher : Springer Verlag Germany
Publication Year : 2008
Imprint : Springer
CD Included : No
Pages : 526
Binding : Hardback

List Price : € 55.00

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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; considerably expanded the reference section with over a hundred references to books on linear algebra.

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