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A Physicist's Introduction to Algebraic Structures - Vector Spaces, Groups, Topological Spaces and More (Hardcover)
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A Physicist's Introduction to Algebraic Structures - Vector Spaces, Groups, Topological Spaces and More (Hardcover)
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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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