000			03047nam a2200325 i 4500
003			CSPC
005			20260112130352.0
008			230808s2019 in a b 001 0 eng d
020			_a9789352692613
040			_cCSPC _aCSPC _beng _erda
050	0	4	_aQA162 _b.A278 2019
082	0	4	_a512.02 _bAb892
245	0	0	_aAbstract algebra / _cedited by Ramesh Chandra Kashyap.
264		1	_aNew Delhi, India : _bRandom Publications, _c2019.
300			_avi, 288 pages : _billustrations ; _c26 cm.
336			_2rdacontent _atext
337			_2rdamedia _aunmediated
338			_2rdacarrier _avolume
504			_aIncludes bibliographical references and index.
505	0		_aSets, relations and mappings -- Applications of integral -- Algebra of complex number -- Abstract function -- Cyclic groups and subgroups -- Linear transformation -- Abstract of permutation groups -- Ring, integral domain and fields -- Laplace transforms -- Vector space, subspace and algebra -- Functions of matrices.
520			_a"Algebra is the branch of mathematics that deals with numbers and their relations. Algebra is used throughout of people's daily lives from buying groceries in the store to scientific researches. Algebra is so useful that NASA is using binary numbers to communicate to the possible extraterrestrial lives. So learning algebra is so important because that people's lives are depended on algebra. Designed for undergraduate and postgraduate students of mathematics, the book can also be used by those preparing for various competitive examinations. The text starts with a brief introduction to results from Set theory and Number theory. It then goes on to cover Groups, Rings, Fields and Linear Algebra. Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified way for expressing properties and constructions that are similar for various structures. Universal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called variety of groups. This book presents a lucid and unified description of Abstract algebra at a level which can be easily understood by the students who posses reasonable mathematical aptitude and abstract reasoning. The book provides an example oriented, less heavily symbolic approach to abstract algebra and the text emphasizes specifics such as rings, integral domains and field, polynomial rings, vector spaces, matrices and linear transformations etc. the book concludes with the coverage of eigen values and eigen vectors of matrices." -- Back cover
650		4	_aAlgebra, Abstract.
700	1		_aKashyap, Ramesh Chandra, _eeditor.
940			_aLenie
940			_amae
940			_aarly
942			_2ddc _cBK _h512.02 _iAb892 _kCIR _m2019 _n0
999			_c11727 _d11727