
First Course in Abstract Algebra, A
Pearson (Publisher)
8th Edition
Will be published approx. on 10. April 2020
Software
Product license key
590 pages
978-0-321-39036-3 (ISBN)
Description
A comprehensive approach to abstract algebra, in a powerful eText format
A First Course in Abstract Algebra, 8th Edition retains its hallmark goal of covering all the topics needed for an in-depth introduction to abstract algebra, and is designed to be relevant to future graduate students, future high school teachers, and students who intend to work in industry. New co-author Neal Brand has revised this classic text carefully and thoughtfully, drawing on years of experience teaching the course with this text to produce a meaningful and worthwhile update. This in-depth introduction gives students a firm foundation for more specialized work in algebra by including extensive explanations of the what, the how, and the why behind each method the authors choose. This revision also includes applied topics such as RSA encryption and coding theory, as well as examples of applying Groebner bases. Key to the 8th Edition has been transforming from a print-based learning tool to a digital learning tool. The eText is packed with content and tools, such as mini-lecture videos and interactive figures, that bring course content to life for students in new ways and enhance instruction. A low-cost, loose-leaf version of the text is also available for purchase within the Pearson eText.
For courses in Abstract Algebra.
Pearson eText is an easy-to-use digital textbook that you can purchase on your own or instructors can assign for their course. The mobile app lets you keep on learning, no matter where your day takes you, even offline. You can also add highlights, bookmarks, and notes in your Pearson eText to study how you like.
NOTE: This ISBN is for the Pearson eText access card. Pearson eText is a fully digital delivery of Pearson content. Before purchasing, check that you have the correct ISBN. To register for and use Pearson eText, you may also need a course invite link, which your instructor will provide. Follow the instructions provided on the access card to learn more.
A First Course in Abstract Algebra, 8th Edition retains its hallmark goal of covering all the topics needed for an in-depth introduction to abstract algebra, and is designed to be relevant to future graduate students, future high school teachers, and students who intend to work in industry. New co-author Neal Brand has revised this classic text carefully and thoughtfully, drawing on years of experience teaching the course with this text to produce a meaningful and worthwhile update. This in-depth introduction gives students a firm foundation for more specialized work in algebra by including extensive explanations of the what, the how, and the why behind each method the authors choose. This revision also includes applied topics such as RSA encryption and coding theory, as well as examples of applying Groebner bases. Key to the 8th Edition has been transforming from a print-based learning tool to a digital learning tool. The eText is packed with content and tools, such as mini-lecture videos and interactive figures, that bring course content to life for students in new ways and enhance instruction. A low-cost, loose-leaf version of the text is also available for purchase within the Pearson eText.
For courses in Abstract Algebra.
Pearson eText is an easy-to-use digital textbook that you can purchase on your own or instructors can assign for their course. The mobile app lets you keep on learning, no matter where your day takes you, even offline. You can also add highlights, bookmarks, and notes in your Pearson eText to study how you like.
NOTE: This ISBN is for the Pearson eText access card. Pearson eText is a fully digital delivery of Pearson content. Before purchasing, check that you have the correct ISBN. To register for and use Pearson eText, you may also need a course invite link, which your instructor will provide. Follow the instructions provided on the access card to learn more.
More details
Product info
Time-limited license permitted subject to limit of 365 days.
Edition
8th edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
College/higher education
Dimensions
Height: 10 mm
Width: 10 mm
Thickness: 10 mm
Weight
1000 gr
ISBN-13
978-0-321-39036-3 (9780321390363)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition

John Fraleigh
First Course in Abstract Algebra, A
Book
12/2002
7th Edition
Pearson
€224.06
Article exhausted; check different version
Content
Brief Table of Contents
Instructor's Preface
Dependence Chart
Student's Preface
Sets and Relations
I. GROUPS AND SUBGROUPS
Binary Operations
Groups
Abelian Groups
Nonabelian Examples
Subgroups
Cyclic Groups
Generating Sets and Cayley Digraphs
II. STRUCTURE OF GROUPS
Groups and Permutations
Finitely Generated Abelian Groups
Cosets and the Theorem of Lagrange
Plane Isometries
III. HOMOMORPHISMS AND FACTOR GROUPS
Factor Groups
Factor-Group Computations and Simple Groups
Groups Actions on a Set
Applications of G -Sets to Counting
IV. ADVANCED GROUP THEORY
Isomorphism Theorems
Sylow Theorems
Series of Groups
Free Abelian Groups
Free Groups
Group Presentations
V. RINGS AND FIELDS
Rings and Fields
Integral Domains
Fermat's and Euler's Theorems
Encryption
VI. CONSTRUCTING RINGS AND FIELDS
The Field of Quotients of an Integral Domain
Rings and Polynomials
Factorization of Polynomials over Fields
Algebraic Coding Theory
Homomorphisms and Factor Rings
Prime and Maximal Ideals
Noncommutative Examples
VII. COMMUTATIVE ALGEBRA
Vector Spaces
Unique Factorization Domains
Euclidean Domains
Number Theory
Algebraic Geometry
Groebner Basis for Ideals
VIII. EXTENSION FIELDS
Introduction to Extension Fields
Algebraic Extensions
Geometric Constructions
Finite Fields
IX. Galois Theory
Introduction to Galois Theory
Splitting Fields
Separable Extensions
Galois Theory
Illustrations of Galois Theory
Cyclotomic Extensions
Insolvability of the Quintic
Instructor's Preface
Dependence Chart
Student's Preface
Sets and Relations
I. GROUPS AND SUBGROUPS
Binary Operations
Groups
Abelian Groups
Nonabelian Examples
Subgroups
Cyclic Groups
Generating Sets and Cayley Digraphs
II. STRUCTURE OF GROUPS
Groups and Permutations
Finitely Generated Abelian Groups
Cosets and the Theorem of Lagrange
Plane Isometries
III. HOMOMORPHISMS AND FACTOR GROUPS
Factor Groups
Factor-Group Computations and Simple Groups
Groups Actions on a Set
Applications of G -Sets to Counting
IV. ADVANCED GROUP THEORY
Isomorphism Theorems
Sylow Theorems
Series of Groups
Free Abelian Groups
Free Groups
Group Presentations
V. RINGS AND FIELDS
Rings and Fields
Integral Domains
Fermat's and Euler's Theorems
Encryption
VI. CONSTRUCTING RINGS AND FIELDS
The Field of Quotients of an Integral Domain
Rings and Polynomials
Factorization of Polynomials over Fields
Algebraic Coding Theory
Homomorphisms and Factor Rings
Prime and Maximal Ideals
Noncommutative Examples
VII. COMMUTATIVE ALGEBRA
Vector Spaces
Unique Factorization Domains
Euclidean Domains
Number Theory
Algebraic Geometry
Groebner Basis for Ideals
VIII. EXTENSION FIELDS
Introduction to Extension Fields
Algebraic Extensions
Geometric Constructions
Finite Fields
IX. Galois Theory
Introduction to Galois Theory
Splitting Fields
Separable Extensions
Galois Theory
Illustrations of Galois Theory
Cyclotomic Extensions
Insolvability of the Quintic