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    Contemporary Abstract Algebra

    Contemporary Abstract Algebra by Gallian, Joseph;

    Sorozatcím: Textbooks in Mathematics;

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      • Kiadói listaár GBP 79.99
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    A termék adatai:

    • Kiadás sorszáma 11
    • Kiadó Chapman and Hall
    • Megjelenés dátuma 2025. május 12.

    • ISBN 9781032778914
    • Kötéstípus Keménykötés
    • Terjedelem556 oldal
    • Méret 240x162 mm
    • Nyelv angol
    • Illusztrációk 72 Illustrations, black & white; 13 Halftones, black & white; 59 Line drawings, black & white
    • 700

    Kategóriák

    Rövid leírás:

    Contemporary Abstract Algebra, 11e stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject which is currently being used by working physicists, chemists, and computer scientists.

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    Hosszú leírás:

    Contemporary Abstract Algebra, Eleventh Edition is intended for a course whose main purpose is to enable students to do computations and write proofs. This text stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject, which is currently being used by working physicists, chemists, and computer scientists.


    For nearly four decades, this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive, lively, and engaging.


    Students will learn how to do computations and write proofs. A unique feature of the book are exercises that build the skill of generalizing, a skill that students should develop, but rarely do.


    Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The hallmark features of previous editions of the book are enhanced in this edition. These include:



    • A good mixture of approximately 1900 computational and theoretical exercises appearing in each chapter that synthesizes concepts from multiple chapters

    • Back-of-the-book skeleton solutions and hints to odd-numbered exercises

    • Over 300 worked-out examples ranging from routine computations to the more challenging

    • Links to interactive True/False questions with comments

    • Links to computer exercises that utilize interactive software available on the author's website, stressing guessing and making conjectures

    • Many applications from scientific and computing fields, as well as some from everyday life

    • Numerous historical notes and biographies that spotlight the people and events behind the mathematics

    • Motivational and humorous quotations

    • Hundreds of figures, photographs, and tables

    Changes to the eleventh edition include new exercises, examples, biographies, and quotes, and an enrichment of the discussion portions. These changes accentuate and enhance the hallmark features that have made previous editions of the book a comprehensive, lively, and engaging introduction to the subject.


    While many partial solutions and sketches for the odd-numbered exercises appear in the book, an Instructor?s Solutions Manual offers solutions for all the exercises. A Student's Solution Manual has comprehensive solutions for all odd-numbered exercises, many even-numbered exercises, and numerous alternative solutions as well.

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    Tartalomjegyzék:

    1 Introduction to Groups
    2 Groups
    3 Finite Groups; Subgroups
    4 Cyclic Groups
    5 Permutation Groups
    6 Ismorphisms
    7 Cosets and Lagrange's Theorem
    8 External Direct Products
    9 Normal Subgroups and Factor Groups
    10 Group Homomorphisms
    11 Fundamental Theorem of Finite Abelian Groups
    12 Introduction to Rings
    13 Integral Domains
    14 Ideals and Factor Rings
    15 Ring Homomorphisms
    16 Polynomial Rings
    17 Factorization of Polynomials
    18 Divisibilty in Integral Domains
    19 Extension Fields
    20 Algebraic Extensions
    21 Finite Fields
    22 Geometric Constructions
    23 Sylow Theorems
    24 Finite Simple Groups
    25 Generators and Relations
    26 Symmetry Groups
    27 Symmetry and Counting
    28 Cayley Digraphs of Groups
    29 Introduction to Algebraic Coding Theory
    30 An Introduction to Galois Theory
    31 Cyclotomic Extensions

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    Gallian, Joseph;

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