000			01987 a2200289 4500
001			1040298206
005			20250328151419.0
008			250324042025xx eng
020			_a9781040298206 _qEA
037			_bTaylor & Francis _cGBP 91.99 _fBB
040			_a01
041			_aeng
072	7		_aPBF _2thema
072	7		_aPBG _2thema
072	7		_aPBF _2bic
072	7		_aPBG _2bic
072	7		_aMAT000000 _2bisac
072	7		_aMAT002000 _2bisac
072	7		_a512.9 _2bisac
100	1		_aLouis Halle Rowen
245	1	0	_aAlgebra _bGroups, Rings, and Fields
250			_a2
260			_bChapman and Hall/CRC _c20250221
300			_a374 p
520			_bAlgebra is a subject we have become acquainted with during most of our mathematical education, often in connection with the solution of equations. Algebra: Groups, Rings, and Fields, Second Edition deals with developments related to their solutions. The principle at the heart of abstract algebra, a subject that enables one to deduce sweeping conclusions from elementary premises, is that the process of abstraction enables us to solve a variety of such problems with economy of effort. This leads to the glorious world of mathematical discovery. This second edition follows the original three-pronged approach: the theory of finite groups, number theory, and Galois’ amazing theory of field extensions tying solvability of equations to group theory. As algebra has branched out in many directions, the authors strive to keep the text manageable while at the same time introducing the student to exciting new paths. In order to support this approach, the authors broadened the first edition, giving monoids a greater role, and relying more on matrices. Hundreds of new exercises were added. A course in abstract algebra, properly presented, could treat mathematics as an art as well as a science. In this exposition, we try to present underlying ideas, as well as the results they yield.
700	1		_aUzi Vishne _4A01
999			_c8017 _d8017