Skip to search
Skip to main content
Catalog
Help
Feedback
Your Account
Library Account
Bookmarks
(
0
)
Search History
Search in
Keyword
Title (keyword)
Author (keyword)
Subject (keyword)
Title starts with
Subject (browse)
Author (browse)
Author (sorted by title)
Call number (browse)
search for
Search
Advanced Search
Bookmarks
(
0
)
Princeton University Library Catalog
Start over
Cite
Send
to
SMS
Email
EndNote
RefWorks
RIS
Printer
Bookmark
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)
Algebra, Abstract
—
Textbooks
[Browse]
Library of Congress genre(s)
Textbooks
[Browse]
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.
Show 36 more Contents items
ISBN
9781133599708 ((hbk.))
1133599702 ((hbk.))
9781133606758 ((pbk.))
113360675X ((pbk.))
OCLC
807255720
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
Read more...
Other views
Staff view
Ask a Question
Suggest a Correction
Report Harmful Language
Supplementary Information