A First Course In Abstract Algebra, 7th Edition
SKU: DADAX0201763907
ISBN : 9780201763904
Condition : New
Shipping & Tax will be calculated at Checkout.
US Delivery Time: 3-5 Business Days.
Outside US Delivery Time: 8-12 Business Days.
A First Course in Abstract Algebra, 7th Edition
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. 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 For all readers interested in abstract algebra.
Specifications of A First Course in Abstract Algebra, 7th Edition
GENERAL | |
---|---|
Author | John B. Fraleigh |
Binding | Hardcover |
Language | English |
Edition | 7 |
ISBN-10 | 0201763907 |
ISBN-13 | 9780201763904 |
Publisher | Pearson |
Number Of Pages | 590 |
Publication Date | 2002-11-16 |
DIMENSIONS | |
---|---|
Height | 9.3 inch. |
Length | 7.5 inch. |
Width | 1.3 inch. |
Weight | 2.15 pounds. |
Write a review
Your Name:
Your Email:
Your Review:
Note: HTML is not translated!
Rating: Bad Good
Enter the code in the box below: