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Books > Science & Mathematics > Mathematics > Mathematical foundations
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Digital And The Real World, The: Computational Foundations Of Mathematics, Science, Technology, And Philosophy (Hardcover)
Loot Price: R4,655
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Digital And The Real World, The: Computational Foundations Of Mathematics, Science, Technology, And Philosophy (Hardcover)
Expected to ship within 10 - 15 working days
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In the 21st century, digitalization is a global challenge of
mankind. Even for the public, it is obvious that our world is
increasingly dominated by powerful algorithms and big data. But,
how computable is our world? Some people believe that successful
problem solving in science, technology, and economies only depends
on fast algorithms and data mining. Chances and risks are often not
understood, because the foundations of algorithms and information
systems are not studied rigorously. Actually, they are deeply
rooted in logics, mathematics, computer science and
philosophy.Therefore, this book studies the foundations of
mathematics, computer science, and philosophy, in order to
guarantee security and reliability of the knowledge by constructive
proofs, proof mining and program extraction. We start with the
basics of computability theory, proof theory, and information
theory. In a second step, we introduce new concepts of information
and computing systems, in order to overcome the gap between the
digital world of logical programming and the analog world of real
computing in mathematics and science. The book also considers
consequences for digital and analog physics, computational
neuroscience, financial mathematics, and the Internet of Things
(IoT).
General
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