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Geometry of Knowledge for Intelligent Systems

  • Book
  • © 2013

Overview

Authors:
  1. Germano Resconi

    1. Dept. Mathematics and Physics, Catholic University, Brescia, Italy

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  • Contains the latest research in the area of intelligent systems
  • The foundation of intelligent systems is presented from mathematical and physical point of view

Part of the book series: Studies in Computational Intelligence (SCI, volume 407)

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Table of contents (8 chapters)

  1. Front Matter

    Pages 1-7
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  2. An Introduction to the Geometry of Agent Knowledge

    • Germano Resconi
    Pages 1-3

  3. Tensor Calculus and Formal Concepts

    • Germano Resconi
    Pages 5-29

  4. Geometry and Agent Coherence

    • Germano Resconi
    Pages 31-60

  5. Field Theory for Knowledge

    • Germano Resconi
    Pages 61-105

  6. Brain Neurodynamic and Tensor Calculus

    • Germano Resconi
    Pages 107-158

  7. Electrical Circuit as Constrain in the Multidimensional Space of the Voltages or Currents

    • Germano Resconi
    Pages 159-206

  8. Superposition and Geometry for Evidence and Quantum Mechanics in the Tensor Calculus

    • Germano Resconi
    Pages 207-228

  9. The Logic of Uncertainty and Geometry of the Worlds

    • Germano Resconi
    Pages 229-279
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Keywords

About this book

The book is on the geometry of agent knowledge. The important concept studied in this book is the Field and its Geometric Representation. To develop a geometric image of the gravity , Einstein used Tensor Calculus but this is very different from the knowledge instruments used now, as for instance techniques of data mining , neural networks , formal concept analysis ,quantum computer and other topics. The aim of this book is to rebuild the tensor calculus in order to give a geometric representation of agent knowledge. By using a new geometry of knowledge we can unify all the topics that have been studied in recent years to create a bridge between the geometric representation of the physical phenomena and the geometric representation of the individual and subjective knowledge of the agents.

Reviews

From the reviews:

“The book puts forward a bridge between agent-based systems and tensor calculus, presenting agent knowledge in a geometric way. … all the modern topics for modeling agent-based systems, like data mining, neural networks, fuzzy and many value logic, are brought together through a geometric reference. The book will be especially valued by those researchers that, beyond computer science, mathematics or physics, express as well interest in philosophy.” (Ruxandra Stoean, Zentralblatt MATH, Vol. 1260, 2013)

Authors and Affiliations

  • Dept. Mathematics and Physics, Catholic University, Brescia, Italy

    Germano Resconi

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