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    Fundamentals of Abstract Algebra

    ISBN-10: 0070400350
    ISBN-13: 9780070400351
    Author(s): D. S. Malik, John M. Mordeson, M. K. Sen
    Description: Each chapter consists of definitions, theorem, proofs and corollaries. There are also numerous examples to help illustrate the concepts. Sprinkled throughout the text are comments dealing with the historical development of abstract algebra.
    Buy it from: $46.54
    This item will ship on Monday, December 22 .

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    List Price: $85.00
    Publisher: McGraw-Hill Higher Education
    Binding: Hardcover
    Pages: 656
    Size: 6.61" wide x 9.49" long x 1.18" tall
    Weight: 2.376
    Language: English

    Each chapter consists of definitions, theorem, proofs and corollaries. There are also numerous examples to help illustrate the concepts. Sprinkled throughout the text are comments dealing with the historical development of abstract algebra.

    D. S. Malik is a professor of Mathematics and Computer Science at Creighton University. He received his Ph.D. from Ohio University in 1985. He has published more than 45 papers and 18 books on abstract algebra, applied mathematics, fuzzy automata theory and languages, fuzzy logic and its applications, programming, data structures, and discrete mathematics.

    Preface
    List of Symbols
    Sets, Relations, and Integersp. 1
    Introduction to Groupsp. 57
    Permutation Groupsp. 83
    Subgroups and Normal Subgroupsp. 99
    Homomorphisms and Isomorphisms of Groupsp. 140
    Direct Product of Groupsp. 181
    Sylow Theoremsp. 190
    Solvable and Nilpotent Groupsp. 223
    Finitely Generated Abelian Groupsp. 247
    Introduction to Ringsp. 269
    Subrings, Ideals, and Homomorphismsp. 289
    Ring Embeddingsp. 318
    Direct Sum of Ringsp. 326
    Polynomial Ringsp. 335
    Euclidean Domainsp. 345
    Unique Factorization Domainsp. 367
    Maximal, Prime, and Primary Idealsp. 389
    Noetherian and Artinian Ringsp. 406
    Modules and Vector Spacesp. 422
    Rings of Matricesp. 434
    Field Extensionsp. 445
    Multiplicity of Rootsp. 474
    Finite Fieldsp. 492
    Galois Theory and Applicationsp. 500
    Geometric Constructionsp. 538
    Coding Theoryp. 549
    Grobner Basesp. 574
    Selected Bibliographyp. 602
    Answers and Hints to Selected Exercisesp. 605
    Indexp. 628
    Table of Contents provided by Blackwell. All Rights Reserved.

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