# Advanced Linear Algebra (Record no. 369625)

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000 -LEADER | |
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fixed length control field | 03643nam a22004575i 4500 |

001 - CONTROL NUMBER | |

control field | 978-0-387-72831-5 |

003 - CONTROL NUMBER IDENTIFIER | |

control field | DE-He213 |

005 - DATE AND TIME OF LATEST TRANSACTION | |

control field | 20180115171415.0 |

007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |

fixed length control field | cr nn 008mamaa |

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 |

024 7# - OTHER STANDARD IDENTIFIER | |

Standard number or code | 10.1007/978-0-387-72831-5 |

Source of number or code | doi |

050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |

Classification number | QA184-205 |

072 #7 - SUBJECT CATEGORY CODE | |

Subject category code | PBF |

Source | bicssc |

072 #7 - SUBJECT CATEGORY CODE | |

Subject category code | MAT002050 |

Source | bisacsh |

082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |

Classification number | 512.5 |

Edition number | 23 |

100 1# - MAIN ENTRY--PERSONAL NAME | |

Personal name | Roman, Steven. |

Relator term | author. |

245 10 - TITLE STATEMENT | |

Title | Advanced Linear Algebra |

Medium | [electronic resource] / |

Statement of responsibility, etc. | by Steven Roman. |

250 ## - EDITION STATEMENT | |

Edition statement | Third Edition. |

264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |

Place of production, publication, distribution, manufacture | New York, NY : |

Name of producer, publisher, distributor, manufacturer | Springer New York, |

Date of production, publication, distribution, manufacture, or copyright notice | 2008. |

300 ## - PHYSICAL DESCRIPTION | |

Extent | XVIII, 526 p. |

Other physical details | online resource. |

336 ## - CONTENT TYPE | |

Content type term | text |

Content type code | txt |

Source | rdacontent |

337 ## - MEDIA TYPE | |

Media type term | computer |

Media type code | c |

Source | rdamedia |

338 ## - CARRIER TYPE | |

Carrier type term | online resource |

Carrier type code | cr |

Source | rdacarrier |

347 ## - DIGITAL FILE CHARACTERISTICS | |

File type | text file |

Encoding format | |

Source | rda |

490 1# - SERIES STATEMENT | |

Series statement | Graduate Texts in Mathematics, |

International Standard Serial Number | 0072-5285 ; |

Volume/sequential designation | 135 |

505 0# - 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 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |

Topical term or geographic name as entry element | Mathematics. |

650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |

Topical term or geographic name as entry element | Matrix theory. |

650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |

Topical term or geographic name as entry element | Algebra. |

650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |

Topical term or geographic name as entry element | Mathematics. |

650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |

Topical term or geographic name as entry element | Linear and Multilinear Algebras, Matrix Theory. |

710 2# - ADDED ENTRY--CORPORATE NAME | |

Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |

773 0# - HOST ITEM ENTRY | |

Title | Springer eBooks |

776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |

Relationship information | Printed edition: |

International Standard Book Number | 9780387728285 |

830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |

Uniform title | Graduate Texts in Mathematics, |

International Standard Serial Number | 0072-5285 ; |

Volume number/sequential designation | 135 |

856 40 - ELECTRONIC LOCATION AND ACCESS | |

Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-0-387-72831-5">http://dx.doi.org/10.1007/978-0-387-72831-5</a> |

912 ## - | |

-- | ZDB-2-SMA |

Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Permanent Location | Current Location | Date acquired | Date last seen | Price effective from | Koha item type |
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Not Lost | EBook | e-Library | e-Library | 2018-01-15 | 2018-01-15 | 2018-01-15 | eBook |