000			01865nam a22002417a 4500
005			20250623155415.0
008			250623b |||||||| |||| 00| 0 eng d
020			_a9798886130928
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB25 R4 _qCSL
100			_aWeintraub, Steven H _eauthor. _9444426
245			_a Introduction to Abstract Algebra _b: Sets, Groups, Rings, and Fields
260			_aSingapore : _bWorld Scientific, _c2024.
300			_axvii, 419p. _b: ill. _c; 23cm.
500			_aIncludes appendix and index.
520			_aThis book is a textbook for a semester-long or year-long introductory course in abstract algebra at the upper undergraduate or beginning graduate level. It treats set theory, group theory, ring and ideal theory, and field theory (including Galois theory), and culminates with a treatment of Dedekind rings, including rings of algebraic integers. In addition to treating standard topics, it contains material not often dealt with in books at this level. It provides a fresh perspective on the subjects it covers, with, in particular, distinctive treatments of factorization theory in integral domains and of Galois theory. As an introduction, it presupposes no prior knowledge of abstract algebra, but provides a well-motivated, clear, and rigorous treatment of the subject, illustrated by many examples. Written with an eye toward number theory, it contains numerous applications to number theory (including proofs of Fermat’s theorem on sums of two squares and of the Law of Quadratic Reciprocity) and serves as an excellent basis for further study in algebra in general and number theory in particular.
650			_aAbstract Algebra.
650			_aGroup theory. _9440733
650			_aSet theory.
650			_aRing theory. _9813628
942			_2CC _cTEXL _hB25 R4 _n0
999			_c1432131 _d1432131