MARC details
| 000 -LEADER |
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| fixed length control field |
02789cam a2200277 a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
vtls000005079 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250102224931.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
090221s2005 nyua |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0387247661 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
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| Level of rules in bibliographic description |
201402040129 |
| Level of effort used to assign nonsubject heading access points |
VLOAD |
| Level of effort used to assign subject headings |
201007310935 |
| Level of effort used to assign classification |
malmash |
| Level of effort used to assign subject headings |
200902210947 |
| Level of effort used to assign classification |
venkatrajand |
| -- |
200902210946 |
| -- |
venkatrajand |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA184.2 |
| Item number |
.R66 2005 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512/.5 |
| Edition information |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Roman, Steven. |
| 9 (RLIN) |
49794 |
| 245 10 - TITLE STATEMENT |
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| Title |
Advanced Linear Algebra / |
| Statement of responsibility, etc. |
Steven Roman. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
New York : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
c2005. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xvi, 482 p. : |
| Other physical details |
ill. ; |
| Dimensions |
25 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Graduate texts in mathematics ; |
| Volume/sequential designation |
135 |
| 9 (RLIN) |
1563 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references (p. [473]-474) and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
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. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This is a graduate 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 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 second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with important applications.The second edition contains two new chapters: a chapter on convexity, separation and positive solutions to linear systems and a chapter on the QR decomposition, singular values and pseudoinverses. The treatments of tensor products and the umbral calculus have been greatly expanded and there is now a discussion of determinants (in the chapter on tensor products), the complexification of a real vector space, Schur's lemma and Gersgorin disks. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Algebras, Linear. |
| 9 (RLIN) |
1024 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Publisher description |
| Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/enhancements/fy0662/2005040244-d.html">http://www.loc.gov/catdir/enhancements/fy0662/2005040244-d.html</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Suppress in OPAC |
No |
| Koha item type |
Books |
