Advanced Linear Algebra (Record no. 13655)

MARC details
000 -LEADER
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
Holdings
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
    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