000 | 02710cam a2200397 i 4500 | ||
---|---|---|---|
999 | _c3165 | ||
001 | 18811020 | ||
003 | EC-UrYT | ||
005 | 20200625165959.0 | ||
006 | s||||gr|||| 00| 00 | ||
008 | 151007s2017 maua b 001 0 eng | ||
010 | _a 2015954307 | ||
020 | _a9781305657960 (hardback) | ||
020 | _a1305657969 (hardback) | ||
040 |
_aEC-UrYT _bEC-UrYT _erda _cEC-UrYT _dEC-UrYT |
||
041 | _aeng | ||
042 | _apcc | ||
082 | 0 | 4 |
_223 _a512.02 |
100 | 1 |
_aGallian, Joseph A. _97485 |
|
245 | 1 | 0 |
_aContemporary abstract algebra / _cJoseph A. Gallian, University of Minnesota Duluth. |
250 | _aNinth edition | ||
264 | 3 | 4 |
_aBoston, MA : _bCengage Learning, _c2017. |
300 |
_axvi, 557, 43 pages : _billustrations ; _c24 cm. |
||
500 | _aIncludes indexes. | ||
504 | _aIncludes bibliographical references. | ||
505 | 2 | _aPart 1. Integers and equivalence relations -- Preliminaries -- Part 2. Groups -- 1. Introduction to groups -- 2. Groups -- 3. Finite groups; subgroups -- 4. Cyclic groups -- 5. Permutation groups -- 6. Isomorphisms -- 7. Cosets and Lagrange's Theorem -- 8. External direct products -- 9. Normal subgroups and factor groups -- 10. Group homomorphisms -- 11. Fundamental theorem of finite Abelian groups -- Part 3. Rings -- 12. Introduction to rings -- 13. Integral domains -- 14. Ideals and factor rings -- 15. Ring homomorphisms -- 16. Polynomial rings -- 17. Factorization of polynomials -- 18. Divisibility in integral domains -- Part 4. Fields -- 19. Vector spaces -- 20. Extension fields -- 21. Algebraic extensions -- 22. Finite fields -- 23. Geometric constructions -- Part 5. Special topics -- 24. Sylow theorems -- 25. Finite simple groups -- 26. Generators and relations -- 27. Symmetry groups -- 28. Frieze groups and crystallographic groups -- 29. Symmetry and counting -- 30. Cayley digraphs of groups -- 31. Introduction to algebraic coding theory -- 32. An introduction to Galois Theory -- 33. Cyclotomic extensions. | |
520 | 3 | _ahis book is primarily intended for an abstract algebra course whose main purpose is to enable students to do computations and write proofs. The text stresses the importance of obtaining a solid introduction to the traditional topics of abstract algebra, while at the same time presenting it as a contemporary and very much an active subject which is currently being used by working physicists, chemists, and computer scientists. | |
650 | 2 | 4 |
_aAlgebra, Abstract _97415 |
650 | 2 | 4 |
_aÁlgebra abstracta _97416 |
942 |
_2ddc _cLIBRO |