000			02631nam a2200289Ia 4500
003			OSt
005			20251119122124.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9781118135358
037			_cTextbook
040			_aCSL _beng _cCSL
041			_aeng
084			_aB25 Q2 _qCSL
100			_aNicholson , W. Keith _eauthor _9852280
245		0	_aIntroduction to Abstract Algebra
250			_a4th
260			_aHoboken : _bWiley , _c2012 .
300			_axxiv,535p.
500			_aIncluded Bibliography 492-494p.; Selected answers 495-522p.; Index 523-535p.
520			_aThe Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text.The Fourth Edition features important concepts as well as specialized topics, including:The treatment of nilpotent groups, including the Frattini and Fitting subgroups Symmetric polynomials The proof of the fundamental theorem of algebra using symmetric polynomials The proof of Wedderburn's theorem on finite division rings The proof of the Wedderburn-Artin theorem Throughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises.Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.
650			_aGroups. _9852281
650			_aPolynomials. _9852282
650			_aRings. _9852283
650			_aAlgebra. _9852284
942			_hB25 Q2 TB _cTB _2CC _n0
999			_c8320 _d8320