Contemporary abstract algebra / Joseph A. Gallian.

Author
Gallian, Joseph A. [Browse]
Format
Book
Language
English
Εdition
8th ed.
Published/​Created
[Boston, MA] : Brooks/Cole Cengage Learning, ©2013.
Description
xiii, 583, 53 pages : illustrations ; 23 cm

Availability

Copies in the Library

Location Call Number Status Location Service Notes
Lewis Library - Stacks QA162 .G34 2013 Browse related items Request

    Details

    Subject(s)
    Library of Congress genre(s)
    Notes
    Includes brief biographies of Niels Abel, James Joseph Sylvester, Augustin Cauchy, Arthur Cayley, Joseph Lagrange, Leonard Adleman, Évariste Galois, Camille Jordan, I.N. Herstein, Nathan Jacobson, Richard Dedekind, Emmy Noether, Saunders Mac Lane, Serge Lang, Sophie Germain, Andrew Wiles, Emil Artin, Olga Taussky-Todd, Leopold Kronecker, Irving Kaplansky, L.E. Dickson, Ludwig Sylow, Michael Aschbacher, Daniel Gorenstein, John Thompson, Marshall Hall, Jr., M.C. Escher, George Pólya, John H. Conway, William Burnside, William Rowan Hamilton, Paul Erdős, Richard W. Hamming, Jessie MacWilliams, Vera Pless, Philip Hall, Carl Friedrich Gauss, and Manjul Bhargava.
    Bibliographic references
    Includes bibliographical references and indexes.
    Contents
    • pt. 1. Integers and equivalence relations
    • Preliminaries
    • pt. 2. Groups
    • 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
    • pt. 3. RIngs
    • Introduction to rings
    • Integral domains
    • Ideals and factor rings
    • Ring homomorphisms
    • Polynomial rings
    • Factorization of polynomials
    • Divisibility in integral domains
    • pt. 4. Fields
    • Vector spaces
    • Extension fields
    • Algebraic extensions
    • Finite fields
    • Geometric constructions
    • pt. 5. 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.
    ISBN
    • 9781133599708 ((hbk.))
    • 1133599702 ((hbk.))
    • 9781133606758 ((pbk.))
    • 113360675X ((pbk.))
    OCLC
    807255720
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