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Type(s) de contenu et mode(s) de consultation : Texte : électronique

Auteur(s) : Roman, Steven (19..-.... ; mathématicien)  Voir les notices liées en tant qu'auteur

Titre(s) : Advanced Linear Algebra [Texte électronique] / Steven Roman

Édition : Version électronique de la 3ème édition

Publication : . - New York, NY : Springer New York : Springer e-books, 2008

Description matérielle : 1 online resource

Collection : (Graduate Texts in Mathematics ; 135)

Note(s) : Titre provenant de la page de titre du document numérisé
. - Numérisation de l'édition de New York : Springer, cop. 2008
. - Bibliogr. Index
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. 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, MAA Online

Sujet(s) : Algèbre linéaire  Voir les notices liées en tant que sujet

Indice(s) Dewey : 512.5 (23e éd.)  Voir les notices liées en tant que sujet

Numéros : ISBN 9780387728315

Notice n° :  FRBNF44643454 (notice reprise d'un réservoir extérieur)

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