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Group Theory: Finite Discrete Groups And Applications
Loot Price: R3,086
Discovery Miles 30 860
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Group Theory: Finite Discrete Groups And Applications
Expected to ship within 10 - 15 working days
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This book deals with the role played by symmetry in the
understanding of the physical world, beginning with the notion of
geometric symmetries of the ancient Greek philosophers and
mathematicians. The recognition of the existence of symmetries led
to the notion of transformations, which led from one state of the
system to another. It was then realized that such transformations,
under the operation of multiplication, constitute an interesting
set, whose study led to the branch of mathematics known as Group
Theory. With the emergence of quantum mechanics, this theory became
much more interesting and led to some additional applications. The
theory got another boost with the need for of the internal degrees
of freedom in describing physical systems. This way the notion of
symmetry is no longer purely geometric and evolved into a useful
tool in the study of all physical sciences.For practical reasons as
well as pedagogical reasons, group theory is usually split into two
parts. The first deals with discrete groups, with the group
elements being countable, usually finite in number, while the
second deals with continuous groups, whose elements depend on
continuous parameters. This volumefocuses the discussion on
discrete groups. Given that group theory should be presented from a
unified perspective, involving not only the mathematical rigor and
beauty of symmetries, but also the ability to use it as a tool for
applications, either currently popular or expected to become so in
the future, this approach will surely be more beneficial to the
dedicated reader. It is not intended for those who would like to
just look up a formula or use the results of a table, without
understanding their derivation.
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