000 | 03041nam a22004935i 4500 | ||
---|---|---|---|
001 | 978-0-387-71568-1 | ||
003 | DE-He213 | ||
005 | 20161121231124.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2007 xxu| s |||| 0|eng d | ||
020 |
_a9780387715681 _9978-0-387-71568-1 |
||
024 | 7 |
_a10.1007/978-0-387-71568-1 _2doi |
|
050 | 4 | _aQA150-272 | |
072 | 7 |
_aPBF _2bicssc |
|
072 | 7 |
_aMAT002000 _2bisacsh |
|
082 | 0 | 4 |
_a512 _223 |
100 | 1 |
_aGrillet, Pierre Antoine. _eauthor. |
|
245 | 1 | 0 |
_aAbstract Algebra _h[electronic resource] / _cby Pierre Antoine Grillet. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2007. |
|
300 |
_aXII, 674 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v242 |
|
505 | 0 | _aGroups -- Structure of Groups -- Rings -- Field Extensions -- Galois Theory -- Fields with Orders or Valuations -- Commutative Rings -- Modules -- Semisimple Rings and Modules -- Projectives and Injectives -- Constructions -- Ext and Tor -- Algebras -- Lattices -- Universal Algebra -- Categories. | |
520 | _a"Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The last chapters, on universal algebras and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty. For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics. From a review of the First Edition: ...combines an exceptionally accessible discussion of the basic material with a just as thorough and well-organized treatment of the many additional (advanced) topics included.... represents an outstanding introduction to modern abstract algebra as a whole, with many unique features. It captivates the reader by its remarkable diversity, comprehensiveness, elegant succinctness, and coherence. - Werner Kleinert, Zentralblatt . | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aAlgebra. | |
650 | 0 | _aAssociative rings. | |
650 | 0 | _aRings (Algebra). | |
650 | 0 | _aGroup theory. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aAlgebra. |
650 | 2 | 4 | _aAssociative Rings and Algebras. |
650 | 2 | 4 | _aGroup Theory and Generalizations. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9780387715674 |
830 | 0 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v242 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-387-71568-1 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c508926 _d508926 |