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A physicist's introduction to algebraic structures: vector spaces, groups, topological spaces and more

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 an...

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Detalles Bibliográficos
Autor principal: Pal, Palash B
Lenguaje:eng
Publicado: Cambridge University Press 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1017/9781108679114
http://cds.cern.ch/record/2677879
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author Pal, Palash B
author_facet Pal, Palash B
author_sort Pal, Palash B
collection CERN
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.
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spelling cern-26778792021-04-21T18:24:09Zdoi:10.1017/9781108679114http://cds.cern.ch/record/2677879engPal, Palash BA physicist's introduction to algebraic structures: vector spaces, groups, topological spaces and moreMathematical Physics and MathematicsAn 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.Cambridge University Pressoai:cds.cern.ch:26778792019
spellingShingle Mathematical Physics and Mathematics
Pal, Palash B
A physicist's introduction to algebraic structures: vector spaces, groups, topological spaces and more
title A physicist's introduction to algebraic structures: vector spaces, groups, topological spaces and more
title_full A physicist's introduction to algebraic structures: vector spaces, groups, topological spaces and more
title_fullStr A physicist's introduction to algebraic structures: vector spaces, groups, topological spaces and more
title_full_unstemmed A physicist's introduction to algebraic structures: vector spaces, groups, topological spaces and more
title_short A physicist's introduction to algebraic structures: vector spaces, groups, topological spaces and more
title_sort physicist's introduction to algebraic structures: vector spaces, groups, topological spaces and more
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1017/9781108679114
http://cds.cern.ch/record/2677879
work_keys_str_mv AT palpalashb aphysicistsintroductiontoalgebraicstructuresvectorspacesgroupstopologicalspacesandmore
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