000			02243nam a22002897a 4500
999			_c87212 _d87212
003			CITU
005			20240430114040.0
008			240430b ||||| |||| 00| 0 eng d
020			_a9781804060032
040			_aDLC _beng _cDLC _erda _dDLC
041			_aeng
082	0	0	_a512.8
100	1		_aSaracino, Dan, _d1947- _eauthor.
245	1	0	_aAbstract algebra / _cDan Saracino.
250			_aSecond edition.
264		1	_aLondon : _bED-Tech Press, _c[2023].
264		4	_c© 2023.
300			_a313 pages ; _c22 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
501			_aIncludes index.
505	0		_aSets and induction ; Binary operations ; Groups ; Fundamental theorems about groups ; Powers of an element; cyclic groups ; Subgroups ; Direct products ; Functions ; Symmetric Groups ; Equivalence relations; cosets ; Counting the elements of a finite group ; Normal subgroups ; Homomorphisms ; Homomorphisms and normal subgroups ; Direct products and finite abelian groups ; Sylow theorems ; Rings ; subrings, ideals, and quotient rings ; Ring homomorphisms ; Polynomials ; From polynomials to fields ; Unique factorization domains ; Extension of fields ; Constructions with straightedge and compass ; Normal and separable extensions ; Galois theory ; Solvability
520	2		_aThe book preserved the emphasis on providing a large number of examples and on helping students learn how to write proofs. The presentation of the sections is given at a higher level. Unusual features, for a book is still relatively short, are the inclusion of full proofs of both directions of Gauss' theorem on constructible regular polygons and Galois' theorem on solvability by radicals, a Galois-theoretic proof of the Fundamental Theorem of Algebra, and a proof of the Primitive Element Theorem. The changes include the simplification of some points in the addition of some new exercise, and the updating of some historical material. All the topics are given in step by step method with simple language to understand the concept easily. This book is intended for use in a junior-senior level course in abstract algebra.
650		0	_aAlgebra, Abstract.
942			_2ddc _cBK