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