Articles liés à Advanced Linear Algebra: Third Edition

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9781441924988: Advanced Linear Algebra: Third Edition

Synopsis

This is a graduate level textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to a discussion of modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.

From the reviews of the first edition:

"The book is very well written and has a good set of exercises. It is a suitable choice as a graduate textbook as well as a reference book." A.A. Jafarian for ZentralblattMATH

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Dr. Roman has authored 32 books, including a number of books on mathematics, such as Introduction to the Finance of Mathematics, Coding and Information Theory, and Field Theory, published by Springer-Verlag. He has also written Modules in Mathematics, a series of 15 small books designed for the general college-level liberal arts student. Besides his books for O'Reilly, Dr. Roman has written two other computer books, both published by Springer-Verlag.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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9780387728285: Advanced Linear Algebra

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ISBN 10 :  0387728287 ISBN 13 :  9780387728285
Editeur : Springer-Verlag New York Inc., 2007
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains topics that are not generally found in linear algebra books Coverage is especially broad An extensive bibliography has been added Encyclopedic treatment of linear algebra theory, both classical and modernContains . N° de réf. du vendeur 4173010

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Taschenbuch. Etat : Neu. Neuware -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. N° de réf. du vendeur 9781441924988

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 544 pp. Englisch. N° de réf. du vendeur 9781441924988

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 544 pp. Englisch. N° de réf. du vendeur 9781441924988

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Taschenbuch. Etat : Neu. Neuware - 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. N° de réf. du vendeur 9781441924988

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