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Digital and the Real World : computational Foundations of Mathematics, Science, Technology, and

Digital and the Real World : computational Foundations of Mathematics, Science, Technology, and - image 1 of 1

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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).
Number of Pages: 400
Genre: Mathematics, Computers + Internet
Format: Hardcover
Publisher: World Scientific Pub Co Inc
Author: Klaus Mainzer
Language: English
Street Date: April 30, 2018
TCIN: 53255435
UPC: 9789813225480
Item Number (DPCI): 248-58-8241
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$150.10
MSRPReg: $158.00 Save $7.90 (5% off)
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