# Fundamentals of abstract algebra / D.S. Malik, John N. Mordeson, M.K. Sen.

##### By: Malik, D. S.

##### Contributor(s): Mordeson, John N | Sen, M. K.

Material type: TextSeries: International series in pure and applied mathematics. Publisher: New York : McGraw-Hill, c1997; Singapore : McGraw-Hill, c1997Description: xix, 636 p. : ill. ; 25 cm.ISBN: 0070400350; 9780070400351.Subject(s): Algebra, AbstractDDC classification: 512.02 Online resources: WorldCat details | Ebook FulltextItem type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode | Item holds |
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E-Book | EWU Library E-book | Non-fiction | 512.02 MAF 1997 (Browse shelf) | Not for loan | ||||

Text | EWU Library Reserve Section | Non-fiction | 512.02 MAF 1997 (Browse shelf) | C-1 | Not For Loan | 12437 | ||

Text | EWU Library Circulation Section | Non-fiction | 512.02 MAF 1997 (Browse shelf) | C-2 | Available | 12438 | ||

Text | EWU Library Circulation Section | Non-fiction | 512.02 MAF 1997 (Browse shelf) | C-3 | Available | 12439 |

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511 WII 1996 Introduction to graph theory / | 511 WII 1996 Introduction to graph theory / | 512. WIM 1979 Multivariable mathematics : | 512.02 MAF 1997 Fundamentals of abstract algebra / | 512.13 LIA 1993 Algebra and trigonometry / | 512.13 LIA 1993 Algebra and trigonometry / | 512.5 ANE 1994 Elementary linear algebra / |

Includes bibliographical references (p. [602]-604) and index.

Table of contents 1. Sets, Relations, and Integers --

2. Introduction to Groups --

3. Permutation Groups --

4. Subgroups and Normal Subgroups --

5. Homomorphisms and Isomorphisms of Groups --

6. Direct Product of Groups --

7. Sylow Theorems --

8. Solvable and Nilpotent Groups --

9. Finitely Generated Abelian Groups --

10. Introduction to Rings --

11. Subrings, Ideals, and Homomorphisms --

12. Ring Embeddings --

13. Direct Sum of Rings --

14. Polynomial Rings --

15. Euclidean Domains --

16. Unique Factorization Domains --

17. Maximal, Prime, and Primary Ideals --

18. Noetherian and Artinian Rings --

19. Modules and Vector Spaces --

20. Rings of Matrices --

21. Field Extensions --

22. Multiplicity of Roots --

23. Finite Fields --

24. Galois Theory and Applications --

25. Geometric Constructions --

26. Coding Theory --

27. Grobner Bases.

Summary:

This new addition to the International Series in Pure and Applied Mathematics is for the two-term advanced undergraduate course in abstract algebra. Each chapter consists of definitions, theorems, proofs, and corollaries. There are also numerous examples that help illustrate the concepts. A unique feature of this text is the worked-out exercises that appear after every section. These worked-out exercises provide techniques of problem solving for students. Sprinkled throughout the text are comments dealing with the historical development of abstract algebra as well as profiles of notable mathematicians. Special topics, such as algebraic varieties, matrix rings, and Noetherian and Artinian rings, are also included for those instructors who want additional material.

Applied Statistics Mathematics and Physical Sciences

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