A First Course in Abstract Algebra (Record no. 13865)
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000 -LEADER | |
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fixed length control field | 01766nam a2200169 a 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9788185015705 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 8185015708 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.02 |
Item number | FRA |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Fraleigh, John B. |
245 #2 - TITLE STATEMENT | |
Title | A First Course in Abstract Algebra |
250 ## - EDITION STATEMENT | |
Edition statement | 3rd ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | New Delhi: |
Name of publisher | Narosa, |
Year of publication | 1982. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | xviii, 478 pages : |
Other physical details | illustrations ; |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | pt. I. Groups. Binary operations --<br/>Groups --<br/>Subgroups --<br/>Permutations I --<br/>Permutations II --<br/>Cyclic groups --<br/>Isomorphism --<br/>Direct products --<br/>Finitely generated abelian groups --<br/>Groups in geometry --<br/>Groups of cosets --<br/>Normal subgroups and factor groups --<br/>Homomorphisms --<br/>Series of groups --<br/>Isomorphism theorems; proof of the Jordan-Hölder theorem --<br/>Group action on a set --<br/>Applications of G-sets to counting --<br/>Sylow theorems --<br/>Applications of the Sylow theory --<br/>Free abelian groups --<br/>Free groups --<br/>Group presentations --<br/>pt. II. Rings and fields. Rings --<br/>Integral domains --<br/>Some noncommutative examples --<br/>The field of quotients of an integral domain --<br/>Our basic goal --<br/>Quotient rings and ideals --<br/>Homomorphisms of rings --<br/>Rings of polynomials --<br/>Factorization of polynomials over a field --<br/>Unique factorization domains --<br/>Euclidean domains --<br/>Gaussian integers and norms --<br/>Introduction to extension fields --<br/>Vector spaces --<br/>Further algebraic structures --<br/>Algebraic extensions --<br/>Geometric constructions --<br/>Automorphisms of fields --<br/>The isomorphism extension theorem --<br/>Splitting fields --<br/>Separable extensions --<br/>Totally inseparable extensions --<br/>Finite fields --<br/>Galois theory --<br/>Illustrations of Galois theory --<br/>Cyclotomic extensions --<br/>Insolvability of the quintic. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Algebra, Abstract. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | Reference Books |
Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Koha item type |
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Reference | Main Library | Main Library | Reference | 26/04/2000 | Purchased | 468.00 | 512.02 FRA | 005326 | Reference Books |