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First Course in Abstract Algebra, A

Fraleigh John B. Brand, Neal
Lisensnøkkel fysisk / 2020 / Engelsk

Produktdetaljer

ISBN
9780321390363
Publisert
2020-04-10
Utgave
8. utgave
Utgiver
Vendor
Pearson
Vekt
1000 gr
Høyde
10 mm
Bredde
10 mm
Dybde
10 mm
Aldersnivå
UU, 05
Språk
Product language
Engelsk
Format
Product format
Lisensnøkkel fysisk
Antall sider
590

Forfatter
Fraleigh John B.
Brand, Neal

First Course in Abstract Algebra, A

Fraleigh John B. Brand, Neal
Lisensnøkkel fysisk / 2020 / Engelsk
Fraleigh John B. Brand, Neal
Lisensnøkkel fysisk / 2020 / Engelsk
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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.
Les mer
Brief Table of Contents Instructor's PrefaceDependence ChartStudent's Preface Sets and Relations I. GROUPS AND SUBGROUPS Binary OperationsGroupsAbelian GroupsNonabelian ExamplesSubgroupsCyclic GroupsGenerating Sets and Cayley Digraphs II. STRUCTURE OF GROUPS Groups and PermutationsFinitely Generated Abelian GroupsCosets and the Theorem of LagrangePlane Isometries III. HOMOMORPHISMS AND FACTOR GROUPS Factor GroupsFactor-Group Computations and Simple GroupsGroups Actions on a SetApplications of G -Sets to Counting IV. ADVANCED GROUP THEORY Isomorphism TheoremsSylow TheoremsSeries of GroupsFree Abelian GroupsFree GroupsGroup Presentations V. RINGS AND FIELDS Rings and FieldsIntegral DomainsFermat's and Euler's TheoremsEncryption VI. CONSTRUCTING RINGS AND FIELDS The Field of Quotients of an Integral DomainRings and PolynomialsFactorization of Polynomials over FieldsAlgebraic Coding TheoryHomomorphisms and Factor RingsPrime and Maximal IdealsNoncommutative Examples VII. COMMUTATIVE ALGEBRA Vector SpacesUnique Factorization DomainsEuclidean DomainsNumber TheoryAlgebraic GeometryGröbner Basis for Ideals VIII. EXTENSION FIELDS Introduction to Extension FieldsAlgebraic ExtensionsGeometric ConstructionsFinite Fields IX. Galois Theory Introduction to Galois TheorySplitting FieldsSeparable ExtensionsGalois TheoryIllustrations of Galois TheoryCyclotomic ExtensionsInsolvability of the Quintic
Les mer
A clear, in-depth introduction to abstract algebra  A focus on groups, rings and fields gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. A study of group theory at the start of the text provides students with an easy transition to axiomatic mathematics. NEW / UPDATED - Many exercises in the text have been updated, and many are new. Most exercise sets are broken down into parts consisting of computations, concepts, and theory. NEW - In response to feedback, answers to parts a), c), e), g), and i) of the 10-part true—false exercises are provided. Unsurpassed clarity of exposition: Gives clear and concise explanations of the theory, with well-thought-out examples to highlight key points and clarify more difficult concepts. Maintains the standard users expect from Fraleigh, while enhancing the clarity in a few sections. For example, sections in Part IX on Galois Theory have been rewritten to improve readability. REVISED - Some topics have been reordered to streamline the flow of the book. A variety of high-quality exercises: Numerous exercises in almost every section range from routine to very challenging. Exercises are computational, true/false, summarizing proofs, identifying errors, and proving statements. REVISED - The 8th Edition replaces some exercises, re-words some, and adds other exercises. NEW - Applied topics — such as RSA encryption and coding theory as well as examples of applying Gröbner bases — have been added to the 8th Edition. Historical notes written by Victor Katz, an authority on the history of math, provide valuable perspective. Check out the preface for a complete list of features and what's new in this edition.
Les mer
Many exercises in the text have been updated, and many are new. Most exercise sets are broken down into parts consisting of computations, concepts, and theory.In response to feedback, answers to parts a), c), e), g), and i) of the 10-part true—false exercises are provided.  An Instructor Solutions Manual is available online at www.pearson.com to instructors only. Solutions to exercises involving proofs are sketches or hints which would not be in the proper form to turn in.Applied topics – such as RSA encryption and coding theory as well as examples of applying Gröbner bases – have been added to the 8th Edition.Some topics have been reordered to streamline the flow of the book. Check out the  preface  for a complete list of features and what's new in this edition.
Les mer

Relaterte produkter

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.
Les mer
Brief Table of Contents Instructor's PrefaceDependence ChartStudent's Preface Sets and Relations I. GROUPS AND SUBGROUPS Binary OperationsGroupsAbelian GroupsNonabelian ExamplesSubgroupsCyclic GroupsGenerating Sets and Cayley Digraphs II. STRUCTURE OF GROUPS Groups and PermutationsFinitely Generated Abelian GroupsCosets and the Theorem of LagrangePlane Isometries III. HOMOMORPHISMS AND FACTOR GROUPS Factor GroupsFactor-Group Computations and Simple GroupsGroups Actions on a SetApplications of G -Sets to Counting IV. ADVANCED GROUP THEORY Isomorphism TheoremsSylow TheoremsSeries of GroupsFree Abelian GroupsFree GroupsGroup Presentations V. RINGS AND FIELDS Rings and FieldsIntegral DomainsFermat's and Euler's TheoremsEncryption VI. CONSTRUCTING RINGS AND FIELDS The Field of Quotients of an Integral DomainRings and PolynomialsFactorization of Polynomials over FieldsAlgebraic Coding TheoryHomomorphisms and Factor RingsPrime and Maximal IdealsNoncommutative Examples VII. COMMUTATIVE ALGEBRA Vector SpacesUnique Factorization DomainsEuclidean DomainsNumber TheoryAlgebraic GeometryGröbner Basis for Ideals VIII. EXTENSION FIELDS Introduction to Extension FieldsAlgebraic ExtensionsGeometric ConstructionsFinite Fields IX. Galois Theory Introduction to Galois TheorySplitting FieldsSeparable ExtensionsGalois TheoryIllustrations of Galois TheoryCyclotomic ExtensionsInsolvability of the Quintic
Les mer
A clear, in-depth introduction to abstract algebra  A focus on groups, rings and fields gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. A study of group theory at the start of the text provides students with an easy transition to axiomatic mathematics. NEW / UPDATED - Many exercises in the text have been updated, and many are new. Most exercise sets are broken down into parts consisting of computations, concepts, and theory. NEW - In response to feedback, answers to parts a), c), e), g), and i) of the 10-part true—false exercises are provided. Unsurpassed clarity of exposition: Gives clear and concise explanations of the theory, with well-thought-out examples to highlight key points and clarify more difficult concepts. Maintains the standard users expect from Fraleigh, while enhancing the clarity in a few sections. For example, sections in Part IX on Galois Theory have been rewritten to improve readability. REVISED - Some topics have been reordered to streamline the flow of the book. A variety of high-quality exercises: Numerous exercises in almost every section range from routine to very challenging. Exercises are computational, true/false, summarizing proofs, identifying errors, and proving statements. REVISED - The 8th Edition replaces some exercises, re-words some, and adds other exercises. NEW - Applied topics — such as RSA encryption and coding theory as well as examples of applying Gröbner bases — have been added to the 8th Edition. Historical notes written by Victor Katz, an authority on the history of math, provide valuable perspective. Check out the preface for a complete list of features and what's new in this edition.
Les mer
Many exercises in the text have been updated, and many are new. Most exercise sets are broken down into parts consisting of computations, concepts, and theory.In response to feedback, answers to parts a), c), e), g), and i) of the 10-part true—false exercises are provided.  An Instructor Solutions Manual is available online at www.pearson.com to instructors only. Solutions to exercises involving proofs are sketches or hints which would not be in the proper form to turn in.Applied topics – such as RSA encryption and coding theory as well as examples of applying Gröbner bases – have been added to the 8th Edition.Some topics have been reordered to streamline the flow of the book. Check out the  preface  for a complete list of features and what's new in this edition.
Les mer

Produktdetaljer

ISBN
9780321390363
Publisert
2020-04-10
Utgave
8. utgave
Utgiver
Vendor
Pearson
Vekt
1000 gr
Høyde
10 mm
Bredde
10 mm
Dybde
10 mm
Aldersnivå
UU, 05
Språk
Product language
Engelsk
Format
Product format
Lisensnøkkel fysisk
Antall sider
590

Forfatter
Fraleigh John B.
Brand, Neal

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