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Mathematical Engineering

Randomness and Hyper-randomness

Authors: Gorban, Igor

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  • Critically reviews and compares the most established probability theory with the more recent theory of hyper-random phenomena
  • Broadens our understanding of statistical stability
  • Written by the father of the theory of hyper-random phenomena
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eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-60780-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-60779-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-3-319-86931-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The monograph compares two approaches that describe the statistical stability phenomenon – one proposed by the probability theory that ignores violations of statistical stability and another proposed by the theory of hyper-random phenomena that takes these violations into account. There are five parts. The first describes the phenomenon of statistical stability. The second outlines the mathematical foundations of probability theory. The third develops methods for detecting violations of statistical stability and presents the results of experimental research on actual processes of different physical nature that demonstrate the violations of statistical stability over broad observation intervals. The fourth part outlines the mathematical foundations of the theory of hyper-random phenomena. The fifth part discusses the problem of how to provide an adequate description of the world.
The monograph should be interest to a wide readership: from university students on a first course majoring in physics, engineering, and mathematics to engineers, post-graduate students, and scientists carrying out research on the statistical laws of natural physical phenomena, developing and using statistical methods for high-precision measurement, prediction, and signal processing over broad observation intervals.
To read the book, it is sufficient to be familiar with a standard first university course on mathematics.

About the authors

Igor I. Gorban graduated from the Kiev Polytechnic Institute, USSR, majoring in hydroacoustics. At the MorPhysPribor Central Research Institute, Leningrad, he received a Ph.D., and at the Institute of Cybernetics of the Academy of Sciences of Ukraine, Kiev, a Dr. Sc. He was awarded the academic rank of Senior Research Associate and then Full Professor.He worked at the Kiev Research Institute for Hydroequipment, participating in a number of developmental and research programmes. He was in charge of algorithms for several sonar systems, was a research adviser for two scientific expeditions to the Pacific to study hydroacoustic signals, was the first deputy to the Chief Designer and Chief Designer of the sonar complexes. Since 1993 he has been working at the Institute of Mathematical Machines and Systems Problems, National academy of Sciences of Ukraine, as Principal Scientist and Deputy Director for Research. Igor I. Gorban is the author of more than 200 scientific publications and several books devoted to: • the theory of space-time processing of hydroacoustic signals under complex dynamic conditions, • the theory of fast multi-channel processing of hydroacoustic signals, and• the physical-mathematical theory of hyper-random phenomena that takes into account violations of statistical stability.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-60780-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-60779-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-3-319-86931-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Randomness and Hyper-randomness
Authors
Series Title
Mathematical Engineering
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-60780-1
DOI
10.1007/978-3-319-60780-1
Hardcover ISBN
978-3-319-60779-5
Softcover ISBN
978-3-319-86931-5
Series ISSN
2192-4732
Edition Number
1
Number of Pages
XXXII, 216
Number of Illustrations
7 b/w illustrations, 23 illustrations in colour
Topics