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02223nam a22003017a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
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005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20241023204455.0 |
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fixed length control field |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781493999125 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
English |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.55 |
Item number |
ADK-A |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Adkins, William A |
245 ## - TITLE STATEMENT |
Title |
Algebra : |
Remainder of title |
an approach via module theory |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
Heidelberg : |
Name of publisher, distributor, etc. |
Springer, |
Date of publication, distribution, etc. |
1992. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
x, 526p. : |
Other physical details |
ill. ; |
Dimensions |
25 cm. |
490 ## - SERIES STATEMENT |
Series statement |
Graduate texts in mathematics ; |
Volume/sequential designation |
136 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (p. [510]) and indexes. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules? The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generaliza tion of vector spaces. (To be precise, modules are to rings as vector spaces are to fields. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebra |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Modules (Algebra) |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Quadratic form |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Homomorphism |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Weintraub, Steven H. |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of contents |
Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-1-4612-0923-2/1">https://link.springer.com/content/pdf/bfm:978-1-4612-0923-2/1</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/64886482-algebra?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/64886482-algebra?ref=nav_sb_ss_1_13#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Book |
Source of classification or shelving scheme |
Universal Decimal Classification |