MARC details
| 000 -LEADER |
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| fixed length control field |
02807nam a22003017a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250310102205.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250303b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9798886130133 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512 |
| Item number |
REI-A |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Reis, Clive |
| 245 ## - TITLE STATEMENT |
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| Title |
Abstract algebra : |
| Remainder of title |
introduction to groups, rings, and fields with applications |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd edition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
New Jersey : |
| Name of publisher, distributor, etc. |
World Scientific, |
| Date of publication, distribution, etc. |
2024. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xvii, 555 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
23 cm |
| 500 ## - GENERAL NOTE |
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| General note |
Includes index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This second edition covers essentially the same topics as the first. However, the presentation of the material has been extensively revised and improved. In addition, there are two new chapters, one dealing with the fundamental theorem of finitely generated abelian groups and the other a brief introduction to semigroup theory and automata. This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya–Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes, and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space, semigroups and automata. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems. Considerable emphasis is placed on the algebraic system consisting of the congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced — via congruence classes — to the idea of cosets and factor groups. This enables the transition to cosets and factor objects to be relatively painless. In this book, cosets, factor objects and homomorphisms are introduced early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible. |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
Undergraduates from approximately 2nd to 4th year. Familarity with linear algebra is required. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebra, Abstract |
| Form subdivision |
Textbooks |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Group algebras |
| Form subdivision |
Textbooks |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Rings (Algebra) |
| Form subdivision |
Textbooks |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algebraic fields |
| Form subdivision |
Textbooks |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Rankin, Stuart A. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of content |
| Uniform Resource Identifier |
<a href="https://www.worldscientific.com/doi/reader/10.1142/9789814730556_fmatter">https://www.worldscientific.com/doi/reader/10.1142/9789814730556_fmatter</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/28207368-abstract-algebra?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/28207368-abstract-algebra?ref=nav_sb_ss_1_13#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
Book |
