Nonconvex Optimization and Its Applications

A Mathematical Structure for Emergent Computation

Authors: Korotkikh, Victor

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About this book

An understanding of emergent computation requires a profound revision of the most fundamental ideas. A noticeable attempt of such a rethinking is a world view in which natural systems are seen not as separate entities but as integrated parts of a unified whole. The book for the first time presents such a mathematical structure, which remarkably is based on integers as the single concept. As integers are considered to be the most fundamental entities irreducible to something simpler, this makes the mathematical structure a final theory, and thus we do not have to look for its explanation in terms of deeper concepts. The book is not only applicable to models of computation and optimization but also has scientific consequences, as it contributes to a rethinking of the most fundamental ideas about nature.
Audience: The book is written at a level suitable for advanced undergraduate students and graduate students as well as research workers and practitioners in computer science information technology, mathematics and physics. The book is suitable as a reference or as supplementary reading material for an advanced graduate course. Only a basic knowledge of calculus is required.

Table of contents (5 chapters)

  • Integer Code Series (ICS)

    Korotkich, Victor

    Pages 1-29

  • Systems of Integer Relations and Structural Complexity

    Korotkich, Victor

    Pages 31-85

  • A New Type of Hierarchical Formations and the Structure

    Korotkich, Victor

    Pages 87-126

  • The Structure and Emergent Computation

    Korotkich, Victor

    Pages 127-139

  • Searching for Universal Principles of Emergent Computation

    Korotkich, Victor

    Pages 141-160

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-1-4615-5313-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-7923-6010-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-1-4613-7424-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Mathematical Structure for Emergent Computation
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
36
Copyright
1999
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4615-5313-7
DOI
10.1007/978-1-4615-5313-7
Hardcover ISBN
978-0-7923-6010-0
Softcover ISBN
978-1-4613-7424-4
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XVI, 164
Topics