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A Physicist's Introduction to Algebraic Structures: Vector Spaces,Groups,Topological Spaces and More
Authors: Palash B. Pal
ISBN-10 书号: 1108492207
ISBN-13 书号: 9781108492201
Edition 版本: 1
Publisher Finelybook 出版日期: 2019-07-11
Pages: 712 pages
Book Description
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.
