Shop By Subject > Math & Science > A First Course in Abstract Algebra  
A First Course in Abstract Algebra  
Author(s) : John B. Fraleigh  
Publisher : Addison Wesley  
Pub. Date : Nov 2002  
Edition : 7th  
Format : Softcover  
ISBN10 : 0201763907  
ISBN13 : 9780201763904  
IE ISBN : 8177589008 / 9780321156082  
Subject(s) : Math & Science  
×This is a brand new International Edition. The cover may look different but the book content (in english) is the same with US Hardcover. Printed in original color on high quality paper. Everything is identical to US Edition.  
Price : $67.00  
Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an indepth 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; FactorGroup Computations and Simple Groups; Group Action on a Set; Applications of GSets 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; Gr?bner 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.  
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