000			02043nam a2200193 4500
001			21126461
010			_a 2019286349
020			_a9781108492201
020			_a9781108729116
082			_a512.02 _bPAL/P
100	1		_aPalash B Pal
245	1	2	_aA physicist's introduction to algebraic structures : vector spaces, groups, topological spaces and more
260			_aCambridge, United Kingdom : _bCambridge University Press, _c2019.
300			_axxii, 693 pages : _billustrations ;
520			_a Description Contents Resources Courses About the Authors An algebraic structure consists of a set of elements, with some rule of combining them, or some special property of selected subsets of the entire set. Many algebraic structures, such as vector space and group, come to everyday use of a modern physicist. Catering to the needs of graduate students and researchers in the field of mathematical physics and theoretical physics, this comprehensive and valuable text discusses the essential concepts of algebraic structures such as metric space, group, modular numbers, algebraic integers, field, vector space, Boolean algebra, measure space and Lebesgue integral. Important topics including finite and infinite dimensional vector spaces, finite groups and their representations, unitary groups and their representations and representations of the Lorentz group, homotopy and homology of topological spaces are covered extensively. Rich pedagogy includes various problems interspersed throughout the book for better understanding of concepts. Includes detailed proofs of important theorems Offers more than 400 problems to test the understanding of concepts, including answers to many of them In-depth coverage of topics includes vector space, group, and topological space Topology is introduced after group theory, helping students understand the topological properties of group parameter spaces
650		0	_aAlgebra, Abstract
650		0	_aModuli theory
942			_cBK
999			_c66755 _d66755