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    1. Naturvetenskap och teknik
    2. Matematik och naturvetenskap
    3. Matematik

    First Course in Abstract Algebra, A

    AvJohn B. Fraleigh,Neal Brand

    Pearson Education

    2020

    632 kr

    Tillfälligt slut

    Fler format och utgåvor

    Häftad

    1 079 kr

    E-bok

    774 kr

    Beskrivning

    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.

    Produktinformation

    • Märke:Pearson Education
    • Utgivningsdatum:2020-04-10
    • Höjd:10 x 10 x 10 mm
    • Vikt:1 000 g
    • Språk:Engelska
    • Antal sidor:590
    • Upplaga:8
    • Förlag:Pearson Education
    • EAN:9780321390363

    Utforska kategorier

    • Matematik inom Naturvetenskap och teknik

    Innehållsförteckning

    • Brief Table of Contents Instructor's PrefaceDependence ChartStudent's Preface Sets and RelationsI. GROUPS AND SUBGROUPS Binary OperationsGroupsAbelian GroupsNonabelian ExamplesSubgroupsCyclic GroupsGenerating Sets and Cayley DigraphsII. STRUCTURE OF GROUPS Groups and PermutationsFinitely Generated Abelian GroupsCosets and the Theorem of LagrangePlane IsometriesIII. HOMOMORPHISMS AND FACTOR GROUPS Factor GroupsFactor-Group Computations and Simple GroupsGroups Actions on a SetApplications of G -Sets to CountingIV. ADVANCED GROUP THEORY Isomorphism TheoremsSylow TheoremsSeries of GroupsFree Abelian GroupsFree GroupsGroup PresentationsV. RINGS AND FIELDS Rings and FieldsIntegral DomainsFermat's and Euler's TheoremsEncryptionVI. 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 ExamplesVII. COMMUTATIVE ALGEBRA Vector SpacesUnique Factorization DomainsEuclidean DomainsNumber TheoryAlgebraic GeometryGröbner Basis for IdealsVIII. EXTENSION FIELDS Introduction to Extension FieldsAlgebraic ExtensionsGeometric ConstructionsFinite FieldsIX. Galois Theory Introduction to Galois TheorySplitting FieldsSeparable ExtensionsGalois TheoryIllustrations of Galois TheoryCyclotomic ExtensionsInsolvability of the Quintic