Randomness and Hyper-randomness (Mathematical Engineering) - Hardcover

Buch 28 von 45: Mathematical Engineering

Gorban, Igor I.

 
9783319607795: Randomness and Hyper-randomness (Mathematical Engineering)
Hardcover
ISBN 10: 3319607790 ISBN 13: 9783319607795
Verlag: Springer, 2017

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
3319607790
ISBN 13 
9783319607795
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
248
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Vorgestellte Ausgabe

ISBN 10:  3319869310 ISBN 13:  9783319869315
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Softcover