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Set Theory And Its Applications In Physics And Computing (Hardcover)
Loot Price: R3,458
Discovery Miles 34 580
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Set Theory And Its Applications In Physics And Computing (Hardcover)
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Total price: R3,478
Discovery Miles: 34 780
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Why learn set theory? This book provides the answer - it is
interesting, and also useful! Taking a new approach and looking
from a fresh perspective, the discussion flows in a friendly and
transparent way, supplemented with a lot of examples and figures.
This makes the theory easily comprehensible: the proofs get vivid
and visual, enveloped with interesting applications for students in
(applied) math, physics, and engineering. Given the theory and the
applications, the book could serve as a textbook in four
(undergraduate) math courses: Introduction to set theory and its
application; Chaos theory and stability - a geometrical point of
view; Functional analysis - Han-Banach theory; and Cryptography
with quantum computing. It teaches set theory from the basics,
including the axiom of choice, the well ordering theorem, and
Zorn's lemma. Furthermore, it uses Cantor's set to introduce chaos
theory from a geometrical point of view. Moreover, it introduces
the binomial formula (and other related formulas), and uses them in
quantum statistical mechanics. And finally, it uses Zorn's lemma in
functional analysis, general relativity, and quantum mechanics.
There are also practical applications in cryptography, error
correction, quantum computing and programming.
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