Overview

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 Gröbner 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.

Full Product Details

Author:   John B. Fraleigh ,  Neal Brand ,  Neal Brand
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   8th edition
Dimensions:   Width: 1.00cm , Height: 1.00cm , Length: 1.00cm
Weight:   1.000kg
ISBN:  

9780321390363

ISBN 10:   0321390369
Pages:   590
Publication Date:   10 April 2020
Audience:   College/higher education ,  Undergraduate
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order  
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

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 Gröbner 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

Reviews

Author Information

Neil Brand is the Departmental Chair and Professor of Mathematics at the University of North Texas in Denton, Texas, where he has taught since 1983. Before teaching at UNT, he taught at Ohio State University and Loyola University of Chicago, and he was employed as a scientist at McDonnell-Douglass Corporation. He received his BS in Mathematics from Purdue University in 1975, and his MS and PhD in Mathematics from Stanford University in 1976 and 1978 respectively. He has authored or co-authored 26 refereed articles that have appeared in the mathematical literature. Dr. Brand is a member of the Mathematical Association of America and the American Mathematical Society. Outside of mathematics, his interests include woodworking and carpentry. He is a founding board member and current board president of Habitat for Humanity of Denton County. He lives in Denton, Texas with his wife Shari. He also has two grown daughters.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions