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007			cr |uu|||uu|||
008			190107s2018 si a ob 001 0 eng
010			_z 2017038817
040			_aWSPC _beng _cWSPC
020			_a9789813229631 _q(ebook)
020			_z9789813229624 _q(hbk.)
050	0	4	_aQA162 _b.E375 2018
072		7	_aMAT _x002010 _2bisacsh
072		7	_aMAT _x002050 _2bisacsh
072		7	_aMAT _x014000 _2bisacsh
082	0	4	_a512/.02 _223
100	1		_aEie, Minking, _d1952- _920959
245	1	2	_aA course on abstract algebra _h[electronic resource] / _cMinking Eie, Shou-Te Chang.
250			_a2nd ed.
260			_aSingapore : _bWorld Scientific Publishing Co. Pte Ltd., _c©2018.
300			_a1 online resource (432 p.) : _bill.
538			_aSystem requirements: Adobe Acrobat Reader.
538			_aMode of access: World Wide Web.
588			_aTitle from web page (viewed January 18, 2019).
500			_aIncludes index.
520			_a"This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors' notes at the Department of Mathematics, National Chung Cheng University, it contains material sufficient for three semesters of study. It begins with a description of the algebraic structures of the ring of integers and the field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's theorem and Sylow's theorems follow as applications of group theory. The theory of rings and ideals forms the second part of this textbook, with the ring of integers, the polynomial rings and matrix rings as basic examples. Emphasis will be on factorization in a factorial domain. The final part of the book focuses on field extensions and Galois theory to illustrate the correspondence between Galois groups and splitting fields of separable polynomials. Three whole new chapters are added to this second edition. Group action is introduced to give a more in-depth discussion on Sylow's theorems. We also provide a formula in solving combinatorial problems as an application. We devote two chapters to module theory, which is a natural generalization of the theory of the vector spaces. Readers will see the similarity and subtle differences between the two. In particular, determinant is formally defined and its properties rigorously proved. The textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra."-- _cPublisher's website.
650		0	_aAlgebra, Abstract. _920960
650		0	_aAlgebra, Abstract _vTextbooks. _920961
650		0	_aElectronic books. _920962
700	1		_aChang, Shou-Te. _920963
856	4	0	_uhttps://www.worldscientific.com/worldscibooks/10.1142/10700#t=toc _zAccess to full text is restricted to subscribers.
942			_cEBK
999			_c72687 _d72687