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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: TextTextSeries: 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 Fulltext
Contents:
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: 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.
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Item type Current location Collection Call number Copy number Status Date due Barcode Item holds
E-Book E-Book EWU Library
E-book
Non-fiction 512.02 MAF 1997 (Browse shelf) Not for loan
Text Text EWU Library
Reserve Section
Non-fiction 512.02 MAF 1997 (Browse shelf) C-1 Not For Loan 12437
Text Text EWU Library
Circulation Section
Non-fiction 512.02 MAF 1997 (Browse shelf) C-2 Available 12438
Text Text EWU Library
Circulation Section
Non-fiction 512.02 MAF 1997 (Browse shelf) C-3 Available 12439
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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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