Fundamentals of Abstract Algebra

ISBN-10: 0070400350
ISBN-13: 9780070400351
Edition: 1997
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.
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List Price: $85.00
Copyright Year: 1997
Publisher: McGraw-Hill Higher Education
Binding: Hardcover
Pages: 656
Size: 7.00" wide x 9.75" long x 1.00" tall
Weight: 2.046
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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