000			01626 a2200229 4500
003			OSt
020			_a9781108729116
040			_cIIT Kanpur
041			_aeng
082			_a512.02 _bP17p
100			_aPal, Palash B.
245			_aA physicist's introduction to algebraic structures _bvector spaces, groups, topological spaces and more _cPalash B. Pal
260			_bCambridge University Press _c2019 _aCambridge
300			_axxii, 693p
520			_a 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.
650			_aModuli theory
650			_aAlgebra, Abstract
650			_aMathematical physics
650			_aTopological spaces
650			_aAlgebras, Linear
942			_cBK
999			_c566464 _d566464