The Springer International Series in Engineering and Computer Science

Variation Principle in Informational Macrodynamics

Authors: Lerner, Vladimir S.

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About this book

Information Macrodynamics (IMD) belong to an interdisciplinary science that represents a new theoretical and computer-based methodology for a system informational descriptionand improvement,including various activities in such areas as thinking, intelligent processes, communications, management, and other nonphysical subjects with their mutual interactions, informational superimposition, and theinformation transferredbetweeninteractions. The IMD is based on the implementation of a single concept by a unique mathematical principle and formalism, rather than on an artificial combination of many arbitrary, auxiliary concepts and/or postulates and different mathematical subjects, such as the game, automata, catastrophe, logical operations theories, etc. This concept is explored mathematically using classical mathematics as calculus of variation and the probability theory, which are potent enough, without needing to developnew,specifiedmathematical systemicmethods. The formal IMD model automatically includes the related results from other fields, such as linear, nonlinear, collective and chaotic dynamics, stability theory, theory of information, physical analogies of classical and quantum mechanics, irreversible thermodynamics, andkinetics. The main IMD goal is to reveal the information regularities, mathematically expressed by the considered variation principle (VP), as a mathematical tool to extractthe regularities and define the model, whichdescribes theregularities. The IMD regularities and mechanisms are the results of the analytical solutions and are not retained by logical argumentation, rational introduction, and a reasonable discussion. The IMD's information computer modeling formalism includes a human being (as an observer, carrier and producer ofinformation), with a restoration of the model during the objectobservations.

Table of contents (3 chapters)

Table of contents (3 chapters)
  • The IMD Essence and Concepts

    Pages 1-98

    Lerner, Dr. Vladimir S., Ph.D.

  • Mathematical Foundations of Informational Macrodynamics

    Pages 99-200

    Lerner, Dr. Vladimir S., Ph.D.

  • Applications

    Pages 201-255

    Lerner, Dr. Vladimir S., Ph.D.

Buy this book

eBook n/a
  • ISBN 978-1-4615-0401-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-1-4020-7465-3
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-1-4613-5058-3
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Variation Principle in Informational Macrodynamics
Authors
Series Title
The Springer International Series in Engineering and Computer Science
Series Volume
736
Copyright
2003
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4615-0401-6
DOI
10.1007/978-1-4615-0401-6
Hardcover ISBN
978-1-4020-7465-3
Softcover ISBN
978-1-4613-5058-3
Series ISSN
0893-3405
Edition Number
1
Number of Pages
XIII, 266
Topics