000			02380nam a22003137a 4500
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005			20250616110647.0
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020			_a9789349750487
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a512 _bSIL-A
100			_aSilverman, Joseph H.
245			_aAbstract algebra : _ban integrated approach
260			_aIndia : _bUniversities Press, _c2025.
300			_axvii, 567 pages : _billustrations (some color) ; _c26 cm.
490			_aPure and applied undergraduate texts, _v55 _x1943-9334 ;
490			_aThe Sally series
500			_aIncludes index.
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.
521			_aReadership: Undergraduate and graduate students interested in abstract algebra.
650			_aAlgebra, Abstract
650			_aField theory and polynomials
650			_aCommutative algebra
650			_aAssociative rings and algebras
650			_aGroup theory and generalizations
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/amstext-55-toc.pdf?_gl=1*1553x82*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAwNDYzMjQkbzEkZzEkdDE3NTAwNTE3ODkkajUxJGwwJGgw
856			_3Reviews _uhttps://www.goodreads.com/book/show/59864081-abstract-algebra?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cN
999			_c36049 _d36049