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Applied Number Theory (Paperback, Softcover reprint of the original 1st ed. 2015)
Loot Price: R2,834
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Applied Number Theory (Paperback, Softcover reprint of the original 1st ed. 2015)
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This textbook effectively builds a bridge from basic number theory
to recent advances in applied number theory. It presents the first
unified account of the four major areas of application where number
theory plays a fundamental role, namely cryptography, coding
theory, quasi-Monte Carlo methods, and pseudorandom number
generation, allowing the authors to delineate the manifold links
and interrelations between these areas. Number theory, which
Carl-Friedrich Gauss famously dubbed the queen of mathematics, has
always been considered a very beautiful field of mathematics,
producing lovely results and elegant proofs. While only very few
real-life applications were known in the past, today number theory
can be found in everyday life: in supermarket bar code scanners, in
our cars' GPS systems, in online banking, etc. Starting with a
brief introductory course on number theory in Chapter 1, which
makes the book more accessible for undergraduates, the authors
describe the four main application areas in Chapters 2-5 and offer
a glimpse of advanced results that are presented without proofs and
require more advanced mathematical skills. In the last chapter they
review several further applications of number theory, ranging from
check-digit systems to quantum computation and the organization of
raster-graphics memory. Upper-level undergraduates, graduates and
researchers in the field of number theory will find this book to be
a valuable resource.
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