Articoli correlati a Advanced Linear Algebra: 135
Sinossi
This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, 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.
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Informazioni sull?autore
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.
Dalla quarta di copertina
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
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer Verlag
- Data di pubblicazione2007
- ISBN 10 0387728287
- ISBN 13 9780387728285
- RilegaturaCopertina rigida
- LinguaInglese
- Numero edizione3
- Numero di pagine522
- RedattoreRoman Steven
- Contatto del produttorenon disponibile
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Advanced Linear Algebra
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Condizione: New. 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 . Codice articolo 5910741
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Advanced Linear Algebra
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ISBN 13: 9780387728285
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Buch. Condizione: 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; considerably expanded the reference section with over a hundredreferences to books on linear algebra. Codice articolo 9780387728285
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Advanced Linear Algebra
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Buch. Condizione: 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 525 pp. Englisch. Codice articolo 9780387728285
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Advanced Linear Algebra
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Springer-Verlag Gmbh Nov 2007, 2007
ISBN 10: 0387728287
ISBN 13: 9780387728285
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Da: Rheinberg-Buch Andreas Meier eK, Bergisch Gladbach, Germania
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Buch. Condizione: 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 525 pp. Englisch. Codice articolo 9780387728285
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Advanced Linear Algebra
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Springer-Verlag Gmbh Nov 2007, 2007
ISBN 10: 0387728287
ISBN 13: 9780387728285
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Buch. Condizione: 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. Codice articolo 9780387728285
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Advanced Linear Algebra (Graduate Texts in Mathematics, Vol. 135)
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