A Mathematical Structure for Emergent Computation

1999
ISBN: 978-0-7923-6010-0
Verlag: Springer US

Buch, Englisch, Band 36, 164 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 448 g

Reihe: Nonconvex Optimization and Its Applications

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.
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.

Zielgruppe

Research

Autoren/Hrsg.

Korotkikh, Victor

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Mathematik | Informatik EDV | Informatik Informatik
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

Preface. Acknowledgments. 1. Integer Code Series (ICS). 2. Systems of Integer Relations and Structural Complexity. 3. A New Type of Hierarchical Formations and the Structure. 4. The Structure and Emergent Computation. 5. Searching for Universal Principles of Emergent Computation.