000 02066cam a22002294a 4500
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008 201109b ||||| |||| 00| 0 eng d
020 _a9781447110606 (pbk)
035 _a49859883
040 _cNCL
082 0 0 _a512
_221
_bCOH-B 2005 10599
100 1 _aCohn, P. M.
_q(Paul Moritz)
_0http://id.loc.gov/authorities/names/n50030614
245 1 0 _aBasic algebra :
_bgroups, rings, and fields /
_cby P.M. Cohn.
260 _aLondon :
_bSpringer,
_cc2005.
300 _axii, 465 p. :
_bill. ;
_c25 cm.
504 _aIncludes bibliographical references (p. 449-451) and indexes.
505 _a 1. Sets -- 2. Groups -- 3. Lattices and categories -- 4. Rings and modules -- 5. Algebras -- 6. Multilinear algebra -- 7. Field theory -- 8. Quadratic forms and ordered fields -- 9. Valuation theory -- 10. Commutative rings -- 11. Infinite field extensions.
520 _aBasic Algebra is the first volume of a new and revised edition of P.M. Cohn's classic three-volume text Algebra which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students. In this first volume, the author covers the important results of algebra; the companion volume, Further Algebra and Applications, brings more advanced topics and focuses on the applications. Readers should have some knowledge of linear algebra and have met groups and fields before, although all the essential facts and definitions are recalled. The coverage is comprehensive and includes topics such as: - Groups - lattices and categories - rings, modules and algebras - fields The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.
650 0 _aAlgebra.
_0http://id.loc.gov/authorities/subjects/sh85003425
942 _2ddc
_cBK
999 _c8216
_d8216