Sign-In
Cart
A First Course in Abstract Algebra
Hardcover
Please select the version of book you would like to purchase.
ISBN10: 0201763907
ISBN13: 9780201763904
Publisher: Pearson
Published: Nov 1 2002
Pages: 544
Weight: 1.90
Height: 0.90 Width: 7.70 Depth: 9.30
Language: English
ISBN13: 9780201763904
Publisher: Pearson
Published: Nov 1 2002
Pages: 544
Weight: 1.90
Height: 0.90 Width: 7.70 Depth: 9.30
Language: English
Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures.
KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gröbner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.
Also in
Algebra
Regents Exams and Answers: Algebra II, Fifth Edition (Barron's New York Regents)
Rubinstein, Gary Michael
Paperback
$18.04
Regents Exams and Answers: Algebra I, Fifth Edition, (Barron's New York Regents)
Rubinstein, Gary M.
Paperback
$18.04
Let's Review Regents: Algebra I, Fifth Edition (Barron's New York Regents)
Rubinstein, Gary M.
Paperback
$20.89
Pre Algebra Doodle Notes: a complete course of brain-based interactive guided visual notes for Middle School Math Concepts
Danziger, Brigid
Giraffe, Math
Paperback
$62.44
Let's Review Regents: Algebra II, Fifth Edition (Barron's New York Regents)
Rubenstein, Gary M., M. S.
Paperback
$18.04
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
$19.49
Mechanical Engineering for Makers: A Hands-On Guide to Designing and Making Physical Things
Bunnell, Brian
Najia, Samer
Paperback
From $17.99
Summit Math Algebra 1 Book 5: Factoring Polynomials and Solving Quadratic Equations
Joujan, Alex
Paperback
$15.00
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Hardcover
$71.24
Basic Math & Pre-Algebra: 1001 Practice Problems for Dummies (+ Free Online Practice)
Zegarelli, Mark
Paperback
$28.49
Basic Math Refresher for Adults - A Math Workbook with Practice Problems and Online Video Tutorials: [2nd Edition]
Bowling, Matthew
Paperback
$50.34
HSPT Full Prep Book for Catholic High Schools: Be ready and fearless! Detailed answer explanations
Johnson, Henry N.
Paperback
$31.08
Math for Programmers: 3D Graphics, Machine Learning, and Simulations with Python
Orland, Paul
Paperback
$74.99
Dilation and Model Theory for Pairs of Commuting Contraction Operators
Sau, Haripada
Ball, Joseph A.
Hardcover
$217.50
Math Fundamentals 2 - Algebra: For Middle School - A Quickstudy Laminated Reference Guide
Wright, Susan
LLC
Warren, Peggy
Other
$6.60
Graph Paper Notebook: Beautiful Pink Marble and Rose Gold 8 x 10 inches - 5 x 5 Squares per inch, Quad Ruled Cute Graph Paper Composition No
Blush Marble Notebooks
Paperback
$8.27
Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis
Klein, Felix
Paperback
$16.10
Mathematics: Its Content, Methods and Meaning
Aleksandrov, A. D.
Kolmogorov, A. N.
Lavrent'ev, M. a.
Paperback
$61.75
Radical Equations: Civil Rights from Mississippi to the Algebra Project
Cobb, Charles E.
Moses, Robert
Paperback
$19.00
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Cox, David A.
Little, John
O'Shea, Donal
Hardcover
$125.99
Pre-Algebra for Beginners: The Ultimate Step by Step Guide to Preparing for the Pre-Algebra Test
Nazari, Reza
Paperback
$20.39
Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations
Rosen, Raphael
Paperback
$16.14
Topics in Number Theory, Volumes I and II
Mathematics
Leveque, William Judson
Leveque, William J.
Paperback
$23.70
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Paperback
$56.99
No-Nonsense Algebra, 2nd Edition: Part of the Mastering Essential Math Skills Series
Fisher, Richard W.
Paperback
$99.94
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
$19.49
Algebra II: 1001 Practice Problems for Dummies (+ Free Online Practice)
Sterling, Mary Jane
Paperback
$28.49
Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger
Samuel, Pierre
Paperback
$10.40
Basic Mathematics for Adult Beginners: An Easy Math Refresher Guide for Adults Restarting Their Education Journey
E. Thompson, Charles
Paperback
$17.99
ACCUPLACER Math Prep: ACCUPLACER Math Test Study Guide with Two Practice Tests [Includes Detailed Answer Explanations]
Tpb Publishing
Paperback
$34.49