First Course in Abstract Algebra

Name: First Course in Abstract Algebra
Availability: OutOfStock
ISBN: 9780201104059

ISBN-10: 0201104059

ISBN-13: 9780201104059

Edition: 3rd 1982

Authors: John B. Fraleigh

List price: $40.95

30 day, 100% satisfaction guarantee!

Out of stock

We're sorry. This item is currently unavailable.

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

Considered a classic by many, A First Course in Abstract Algebra is an in-depth, introductory text which gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. The Sixth Edition continues its tradition of teaching in a classical manner, while integrating field theory and new exercises.

Book details

List price: $40.95
Edition: 3rd
Copyright year: 1982
Publisher: Addison-Wesley Longman, Incorporated
Binding: Hardcover
Pages: 496
Language: English



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


Grouml;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


Appendix: Matrix Algebra


Notations


Answers to odd-numbered exercises not asking for definitions or proofs


Index