About this product

Product Identifiers

PublisherPearson Education

ISBN-100321390369

ISBN-139780321390363

eBay Product ID (ePID)3038286576

Product Key Features

Number of Pages590 Pages

Publication NameFirst Course in Abstract Algebra

LanguageEnglish

SubjectAlgebra / Abstract, General

Publication Year2020

TypeTextbook

Subject AreaMathematics

AuthorJohn B. Fraleigh, Neal Brand

FormatDigital, Other

Dimensions

Item Height0.4 in

Item Weight35.3 Oz

Item Length0.4 in

Item Width0.4 in

Additional Product Features

Edition Number8

Intended AudienceCollege Audience

TitleLeadingA

Dewey Edition23

Dewey Decimal512/.02

Table Of ContentBrief 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 Gr öbner 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

SynopsisFor courses in Abstract Algebra. 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. Extend learning beyond the classroom Pearson eText is an easy-to-use digital textbook that students can purchase on their own or you can assign for your course. It lets students read, highlight, and take notes all in one place. The mobile app lets students learn on the go, offline or online. Creating a course allows you to schedule readings, view reading analytics, and share your own notes with students, motivating them to keep reading, and keep learning. Learn more about Pearson eText., 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., For courses in Abstract Algebra. This ISBN is for the Pearson eText access card. 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 Gr bner 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. Pearson eText is a simple-to-use, mobile-optimized, personalized reading experience. It lets students read, highlight, and take notes all in one place, even when offline. Seamlessly integrated videos and interactive figures allow students to interact with content in a dynamic manner in order to build or enhance understanding. Educators can easily customize the table of contents, schedule readings, and share their own notes with students so they see the connection between their eText and what they learn in class -- motivating them to keep reading, and keep learning. And, reading analytics offer insight into how students use the eText, helping educators tailor their instruction. Learn more about Pearson eText. NOTE: Pearson eText is a fully digital delivery of Pearson content and should only be purchased when required by your instructor. This ISBN is for the Pearson eText access card. In addition to your purchase, you will need a course invite link, provided by your instructor, to register for and use Pearson eText. 0321390369 / 9780321390363 PEARSON ETEXT -- FIRST COURSE IN ABSTRACT ALGEBRA, A -- ACCESS CARD, 8/e