Advanced Linear Algebra (Graduate Texts in Mathematics, Vol. 135)

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9780387728285: Advanced Linear Algebra (Graduate Texts in Mathematics, Vol. 135)

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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From the Back Cover:

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

About the Author:

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.

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Steven Roman
Editorial: Springer New York 2007-10-08, New York (2007)
ISBN 10: 0387728287 ISBN 13: 9780387728285
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Descripción Springer New York 2007-10-08, New York, 2007. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387728285

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Descripción Springer-Verlag New York Inc., 2007. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780387728285

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Descripción Estado de conservación: New. Publisher/Verlag: Springer, Berlin | This graduate level textbook provides encyclopedic treatment of linear algebra theory, both classical and modern. This new edition has been revised and expanded with many new chapters. | 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. | Vector Spaces Linear Transformations The Isomorphism Theorems Modules I: Basic Properties Modules II: Free and Noetherian Modules Modules over a Principal Ideal Domain The Structure of a Linear Operator Eigenvalues and Eigenvectors Real and Complex Inner Product Spaces Structure Theory for Normal Operators Metric Vector Spaces: The Theory of Bilinear Forms Metric Spaces Hilbert Spaces Tensor Products Positive Solutions to Linear Systems: Convexity and Separation Affine Geometry Operator Factorizations: QR and Singular Value The Umbral Calculus References Index | Format: Hardback | Language/Sprache: english | 955 gr | 240x167x35 mm | 526 pp. Nº de ref. de la librería K9780387728285

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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780387728285_lsuk

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STEVEN ROMAN
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Descripción Springer, 2007. Hardback. Estado de conservación: NEW. 9780387728285 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0274092

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Descripción Springer-Verlag New York Inc., 2007. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780387728285

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Descripción Springer-Verlag Gmbh Nov 2007, 2007. Buch. Estado de conservación: Neu. Neuware - 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. 526 pp. Englisch. Nº de ref. de la librería 9780387728285

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Descripción Springer, 2017. Hardcover. Estado de conservación: New. Never used! This item is printed on demand. Nº de ref. de la librería 0387728287

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Descripción Springer-Verlag Gmbh Nov 2007, 2007. Buch. Estado de conservación: Neu. Neuware - 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. 526 pp. Englisch. Nº de ref. de la librería 9780387728285

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Descripción Springer-Verlag Gmbh Nov 2007, 2007. Buch. Estado de conservación: Neu. Neuware - 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. 526 pp. Englisch. Nº de ref. de la librería 9780387728285

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