Advanced Linear Algebra (Record no. 13655)
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000 -LEADER | |
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fixed length control field | 02862nmm a22002175i 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20230705150639.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 100301s2008 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780387728315 |
-- | 978-0-387-72831-5 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.5 |
Edition number | 23 |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Roman, Steven. |
9 (RLIN) | 20566 |
245 ## - TITLE STATEMENT | |
Title | Advanced Linear Algebra |
Medium | [electronic resource] / |
Statement of responsibility, etc. | by Steven Roman. |
250 ## - EDITION STATEMENT | |
Edition statement | 3rd ed. 2008. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | New York, NY : |
Name of publisher, distributor, etc. | Springer New York : |
-- | Imprint: Springer, |
Date of publication, distribution, etc. | 2008. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XVIII, 525 p. |
Other physical details | online resource. |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | Basic Linear Algebra -- 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 -- Topics -- Metric Vector Spaces: The Theory of Bilinear Forms -- Metric Spaces -- Hilbert Spaces -- Tensor Products -- Positive Solutions to Linear Systems: Convexity and Separation -- Affine Geometry -- Singular Values and the Moore-Penrose Inverse -- An Introduction to Algebras -- The Umbral Calculus. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | 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. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Algebras, Linear. |
9 (RLIN) | 20567 |
Topical term or geographic name entry element | Linear Algebra. |
9 (RLIN) | 20568 |
856 ## - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-0-387-72831-5">https://doi.org/10.1007/978-0-387-72831-5</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | e-Book |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
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Dewey Decimal Classification | S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | Online | 2023-07-05 | Infokart India Pvt. Ltd., New Delhi | 512.5 | EB1306 | 2023-07-05 | 2023-07-05 | e-Book |