000			01685nam a2200205 4500
005			20250702105043.0
008			250618b |||||||| |||| 00| 0 eng d
020			_a9789349750487
041			_aeng
082			_a512.02 _bSilA
100			_a Silverman, Joseph H.
245			_aAbstract Algebra : _bAn Integrated Approach / _cJoseph H. Silverman
260			_aHyderabad : _bAmerican Mathematical Society (AMS), _bUniversities Press, _c©2022.
300			_axvii, 567p.
440			_aPure and Applied Undergraduate Texts ; _vVol. 55
520			_aThis abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper results are proven. The second half of the book contains material of a more advanced nature. It includes a thorough development of Galois theory, a chapter on modules, and short surveys of additional algebraic topics designed to whet the reader's appetite for further study. This book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course.
650			_aAlgebra
650			_aNBHM
942			_cBK
999			_c7346 _d7346