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Contemporary abstract algebra / Joseph A. Gallian, University of Minnesota Duluth.

By: Material type: TextTextPublication details: Boston, MA : Cengage Learning, c2017.Edition: Ninth editionDescription: xvi, 557, 43 pages : illustrations ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781305657960 (hardback)
  • 1305657969 (hardback)
Subject(s): LOC classification:
  • QA162 G13 2017
Online resources:
Contents:
Integers and equivalence relations -- Preliminaries -- Introduction to groups -- Groups -- Finite groups; subgroups -- Cyclic groups -- Permutation groups -- Isomorphisms -- Cosets and Lagrange's theorem -- External direct products -- Normal subgroups and factor groups -- Group homomorphisms -- Fundamental theorem of finite abelian groups -- Rings -- Introduction to rings -- Integral domains -- Ideals and factor rings -- Ring homomorphisms -- Polynomial rings -- Factorization of polynomials -- Divisibility in integral domains -- Fields -- Vector spaces -- Extension fields -- Algebraic extensions -- Finite fields -- Geometric constructions -- Special topics -- Sylow theorems -- Finite simple groups -- Generators and relations -- Symmetry groups -- Frieze groups and crystallographic groups -- Symmetry and counting -- Cayley digraphs of groups -- Introduction to algebraic coding theory -- An introduction to galois theory -- Cyclotomic extensions.
List(s) this item appears in: Print Books 2021 | Print Books 2022
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Holdings
Item type Current library Collection Call number Materials specified Copy number Status Notes Date due Barcode
Books Books Ladislao N. Diwa Memorial Library Reserve Section Non-fiction RUS QA162 G13 2017 (Browse shelf(Opens below)) Room use only 76778 00076762
Books Books Ladislao N. Diwa Memorial Library Circulation Section Non-fiction QA162 G13 2017 (Browse shelf(Opens below)) c2 Available 78009 00078956

Includes bibliographical references and indexes.

Integers and equivalence relations -- Preliminaries -- Introduction to groups -- Groups -- Finite groups; subgroups -- Cyclic groups -- Permutation groups -- Isomorphisms -- Cosets and Lagrange's theorem -- External direct products -- Normal subgroups and factor groups -- Group homomorphisms -- Fundamental theorem of finite abelian groups -- Rings -- Introduction to rings -- Integral domains -- Ideals and factor rings -- Ring homomorphisms -- Polynomial rings -- Factorization of polynomials -- Divisibility in integral domains -- Fields -- Vector spaces -- Extension fields -- Algebraic extensions -- Finite fields -- Geometric constructions -- Special topics -- Sylow theorems -- Finite simple groups -- Generators and relations -- Symmetry groups -- Frieze groups and crystallographic groups -- Symmetry and counting -- Cayley digraphs of groups -- Introduction to algebraic coding theory -- An introduction to galois theory -- Cyclotomic extensions.

Fund 164 New Century Books & Gen. Mdse. Purchased 08/15/2018 76778 nej 9,500.00 2018-08-820 2018-1-0557

Fund 164 Mind Mover Publishing House, Inc. Purchased 10/24/2019 78009 NEJ PHP 8,320.00 2019-10-819 2019-1-0683 copy 2

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