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Restricted Congruences in Computing (Hardcover)
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Restricted Congruences in Computing (Hardcover)
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Congruences are ubiquitous in computer science, engineering,
mathematics, and related areas. Developing techniques for finding
(the number of) solutions of congruences is an important problem.
But there are many scenarios in which we are interested in only a
subset of the solutions; in other words, there are some
restrictions. What do we know about these restricted congruences,
their solutions, and applications? This book introduces the tools
that are needed when working on restricted congruences and then
systematically studies a variety of restricted congruences.
Restricted Congruences in Computing defines several types of
restricted congruence, obtains explicit formulae for the number of
their solutions using a wide range of tools and techniques, and
discusses their applications in cryptography, information security,
information theory, coding theory, string theory, quantum field
theory, parallel computing, artificial intelligence, computational
biology, discrete mathematics, number theory, and more. This is the
first book devoted to restricted congruences and their
applications. It will be of interest to graduate students and
researchers across computer science, electrical engineering, and
mathematics.
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