Fundamentals of abstract algebra / D.S. Malik, John N. Mordeson, M.K. Sen.
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TextLanguage: English Series: International series in pure and applied mathematicsPublication details: New York : McGraw-Hill, c1997. ; Singapore : McGraw-Hill, c1997. Description: xix, 636 p. : ill. ; 25 cmISBN: 0070400350; 9780070400351Subject(s): Algebra, AbstractDDC classification: 512.02 LOC classification: QA162 | .M346 1997Online resources: WorldCat details | Ebook Fulltext | Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | Item holds |
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Dr. S. R. Lasker Library, EWU E-book | Non-fiction | 512.02 MAF 1997 (Browse shelf(Opens below)) | Not for loan | ||||
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Dr. S. R. Lasker Library, EWU Reserve Section | Non-fiction | 512.02 MAF 1997 (Browse shelf(Opens below)) | C-1 | Not For Loan | 12437 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 512.02 MAF 1997 (Browse shelf(Opens below)) | C-2 | Available | 12438 | ||
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Dr. S. R. Lasker Library, EWU Circulation Section | Non-fiction | 512.02 MAF 1997 (Browse shelf(Opens below)) | C-3 | Available | 12439 |
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| 511 ROD 2003 Discrete mathematics and its applications / | 511 ROM 2007 Discrete mathematics and its applications / | 511 WII 1996 Introduction to graph theory / | 512.02 MAF 1997 Fundamentals of abstract algebra / | 512.5 ANE 2013 Elementary linear algebra : | 512.5 FRL 1995 Linear algebra / | 512/.5 LAL Linear algebra and its applications / |
Includes bibliographical references (p. [602]-604) and index.
TOC 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.
AS MPS
Tahur Ahmed
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